
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 2.0s | 8 256× | 0 | valid |
| 607.0ms | 2 003× | 0 | invalid |
ival-mult: 590.0ms (27.7% of total)ival-sin: 491.0ms (23.1% of total)ival-<=: 283.0ms (13.3% of total)const: 265.0ms (12.4% of total)ival-div: 215.0ms (10.1% of total)ival-sub: 107.0ms (5% of total)ival-and: 54.0ms (2.5% of total)ival-pi: 52.0ms (2.4% of total)ival-add: 45.0ms (2.1% of total)exact: 21.0ms (1% of total)ival-assert: 4.0ms (0.2% of total)adjust: 3.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 17 | 0 | - | 14 | (1.0796256262138889e-36 3.2079287848318927e-7 -3.6264372581251703e-12 8.666883095722088e-20) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 6 |
| - | 3 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 6 |
| - | 3 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 57.0ms | 502× | 0 | valid |
| 2.0ms | 10× | 1 | valid |
Compiled 231 to 55 computations (76.2% saved)
ival-mult: 17.0ms (43% of total)ival-sin: 11.0ms (27.8% of total)ival-div: 4.0ms (10.1% of total)ival-add: 3.0ms (7.6% of total)ival-sub: 2.0ms (5.1% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 284 | 302 |
| 2 | 845 | 268 |
| 3 | 2771 | 253 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 49 | 21 |
| 2 | 113 | 18 |
| 3 | 336 | 18 |
| 4 | 1247 | 18 |
| 5 | 4673 | 18 |
| 0 | 8112 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 25 to 17 computations (32% saved)
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+ (* 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 (- 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)))))) |
(- 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) |
(* 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)) |
normAngle |
(/ 1 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) 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)))) |
(* 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))))) |
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)))) |
(* 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)))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(sin (* normAngle 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 (* -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)))))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ (sin normAngle) (* -1 (* normAngle (* u (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))))))))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ 1 (* -1 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)))) |
(/ (* 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)))) |
(* 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)))))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(+ (/ (* 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)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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))))))) |
n1_i |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* 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))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | normAngle | @ | 0 | ((+ (* (* (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) |
| 16.0ms | u | @ | inf | ((+ (* (* (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) |
| 15.0ms | n0_i | @ | inf | ((+ (* (* (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) |
| 8.0ms | normAngle | @ | inf | ((+ (* (* (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) |
| 5.0ms | normAngle | @ | -inf | ((+ (* (* (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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 2280 |
| 1 | 1683 | 2111 |
| 2 | 7033 | 2100 |
| 0 | 8439 | 1957 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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 (- 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)))))) |
(- 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) |
(* 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)) |
normAngle |
(/ 1 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) 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)))) |
(* 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))))) |
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)))) |
(* 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)))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(sin (* normAngle 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 (* -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)))))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ (sin normAngle) (* -1 (* normAngle (* u (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))))))))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ 1 (* -1 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)))) |
(/ (* 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)))) |
(* 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)))))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(+ (/ (* 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)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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))))))) |
n1_i |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* 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))))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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))))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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))))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(- 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) (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.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 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) normAngle) |
normAngle |
(/ 1 normAngle) |
(/.f32 #s(literal 1 binary32) normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (-.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) normAngle) normAngle) #s(literal 1/6 binary32)) normAngle) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u)) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) normAngle) normAngle) #s(literal -1/5040 binary32) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u) (*.f32 normAngle normAngle) (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (sin.f32 normAngle)) u)) u (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (fma.f32 (neg.f32 (*.f32 n0_i normAngle)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (*.f32 (cos.f32 normAngle) u)) u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 (neg.f32 u) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 normAngle normAngle) (*.f32 (neg.f32 (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) u) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32))) (*.f32 (cos.f32 normAngle) u) (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) (sin.f32 normAngle))) u #s(literal 1 binary32)) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)) (*.f32 normAngle normAngle)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32)) u) (cos.f32 normAngle))) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) u (sin.f32 normAngle)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n1_i) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i) (*.f32 u u) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) u) |
(* 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 (fma.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (sin.f32 normAngle)) (*.f32 u u) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u) |
(* 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 (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i) (*.f32 u u) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 normAngle #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) n1_i)) (*.f32 u u))) (sin.f32 normAngle)))) u) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) u) 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 (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) (sin.f32 normAngle)) u) |
(* 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 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (pow.f32 u #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) u) normAngle) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle 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)))))))) |
(fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (pow.f32 u #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle u)) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))) |
n1_i |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (*.f32 #s(literal 1 binary32) n1_i) (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 0 | 29 | 101 |
| 1 | 80 | 89 |
| 0 | 485 | 88 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) |
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)) |
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))) |
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))) |
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(fma.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (sin.f32 (neg.f32 normAngle))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (neg.f32 normAngle)))) |
(/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 normAngle) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(pow.f32 (sin.f32 normAngle) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (neg.f32 normAngle)))) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u))) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 u normAngle) |
n1_i |
Compiled 7 590 to 929 computations (87.8% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 192 | 12 | 204 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 193 | 12 | 205 |
| Status | Accuracy | Program |
|---|---|---|
| 98.2% | (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) | |
| 87.7% | (fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) | |
| 97.8% | (fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) | |
| ▶ | 97.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
| 97.6% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) 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)) | |
| 97.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 79.9% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ▶ | 88.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i)) |
| ▶ | 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| ▶ | 99.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| 76.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) | |
| ▶ | 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
Compiled 814 to 542 computations (33.4% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(literal -1/6 binary32) |
(-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
n1_i |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
n0_i |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i) |
(/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) |
(fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) |
(*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) |
(neg.f32 n0_i) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos.f32 normAngle) |
(sin.f32 normAngle) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 n0_i n1_i) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
| Outputs |
|---|
(+ (* 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))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(pow normAngle 2) |
normAngle |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(* -1 (* n0_i normAngle)) |
(* normAngle (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2))))) |
(* normAngle (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i))))) |
(* normAngle (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2))))))))) |
(* normAngle (+ 1 (* -1/2 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow normAngle 2))) |
(+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))) |
(+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))) |
(* 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)))) |
(* 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)))))) |
(- 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) |
(* 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)) |
(/ 1 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) 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 (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* 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)))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* normAngle (cos normAngle)) |
(cos normAngle) |
(sin normAngle) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(/ 1 (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) |
(sin (* normAngle u)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos 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 (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* -3 (* n0_i u))) |
(+ n0_i (* u (+ (* -3 n0_i) (* 3 (* n0_i u))))) |
(+ n0_i (* u (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(pow u 3) |
u |
(+ n0_i (* u (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(+ 1 (* -1 u)) |
(+ 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)))))))) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ (sin normAngle) (* -1 (* normAngle (* u (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))))))))) |
(+ normAngle (* -1 (* normAngle 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)))) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(/ n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(/ (* n0_i (sin normAngle)) n1_i) |
(+ (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) n1_i))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) n1_i)) (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(* 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)))))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))) |
(* (pow u 3) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 3))))))) |
(* -1 (* n0_i (pow u 3))) |
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u)))) |
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 3)))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -3 (/ n0_i u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -3 (/ n0_i u)) (* 3 n0_i)) u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* 3 n0_i)) u)) (* 3 n0_i)) u))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* n1_i (pow u 3)) |
(+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) |
(* n0_i (pow (- 1 u) 3)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(* -1 n0_i) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i) |
(* n0_i (+ (/ (sin (* normAngle u)) n0_i) (/ (sin (* normAngle (- 1 u))) n1_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (pow u 3)) n0_i)) (* -1 (pow (- 1 u) 3))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
n1_i |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1 (pow u 3))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 84.0ms | n1_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (pow u 3) u 3 n1_i (* (pow (- 1 u) 3) n0_i) (pow (- 1 u) 3) (- 1 u) 1 n0_i (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* normAngle normAngle) normAngle (+ (* (* (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 (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (neg n0_i) (* (cos normAngle) normAngle)) (neg n0_i) (* (cos normAngle) normAngle) (cos normAngle) (sin normAngle) (+ (* (* (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 (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n0_i n1_i) (sin (* normAngle u)) (* normAngle u)) |
| 33.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (pow u 3) u 3 n1_i (* (pow (- 1 u) 3) n0_i) (pow (- 1 u) 3) (- 1 u) 1 n0_i (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* normAngle normAngle) normAngle (+ (* (* (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 (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (neg n0_i) (* (cos normAngle) normAngle)) (neg n0_i) (* (cos normAngle) normAngle) (cos normAngle) (sin normAngle) (+ (* (* (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 (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n0_i n1_i) (sin (* normAngle u)) (* normAngle u)) |
| 22.0ms | normAngle | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (pow u 3) u 3 n1_i (* (pow (- 1 u) 3) n0_i) (pow (- 1 u) 3) (- 1 u) 1 n0_i (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* normAngle normAngle) normAngle (+ (* (* (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 (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (neg n0_i) (* (cos normAngle) normAngle)) (neg n0_i) (* (cos normAngle) normAngle) (cos normAngle) (sin normAngle) (+ (* (* (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 (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n0_i n1_i) (sin (* normAngle u)) (* normAngle u)) |
| 20.0ms | normAngle | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (pow u 3) u 3 n1_i (* (pow (- 1 u) 3) n0_i) (pow (- 1 u) 3) (- 1 u) 1 n0_i (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* normAngle normAngle) normAngle (+ (* (* (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 (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (neg n0_i) (* (cos normAngle) normAngle)) (neg n0_i) (* (cos normAngle) normAngle) (cos normAngle) (sin normAngle) (+ (* (* (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 (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n0_i n1_i) (sin (* normAngle u)) (* normAngle u)) |
| 14.0ms | normAngle | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (pow u 3) u 3 n1_i (* (pow (- 1 u) 3) n0_i) (pow (- 1 u) 3) (- 1 u) 1 n0_i (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* normAngle normAngle) normAngle (+ (* (* (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 (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (neg n0_i) (* (cos normAngle) normAngle)) (neg n0_i) (* (cos normAngle) normAngle) (cos normAngle) (sin normAngle) (+ (* (* (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 (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n0_i n1_i) (sin (* normAngle u)) (* normAngle u)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1230 | 6959 |
| 1 | 4639 | 6667 |
| 0 | 8754 | 6234 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(pow normAngle 2) |
normAngle |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(* -1 (* n0_i normAngle)) |
(* normAngle (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2))))) |
(* normAngle (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i))))) |
(* normAngle (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2))))))))) |
(* normAngle (+ 1 (* -1/2 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2)))) |
1 |
(+ 1 (* -1/2 (pow normAngle 2))) |
(+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))) |
(+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))) |
(* 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)))) |
(* 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)))))) |
(- 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) |
(* 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)) |
(/ 1 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) 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 (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* 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)))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* normAngle (cos normAngle)) |
(cos normAngle) |
(sin normAngle) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(/ 1 (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) |
(sin (* normAngle u)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos 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 (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* -3 (* n0_i u))) |
(+ n0_i (* u (+ (* -3 n0_i) (* 3 (* n0_i u))))) |
(+ n0_i (* u (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(pow u 3) |
u |
(+ n0_i (* u (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(+ 1 (* -1 u)) |
(+ 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)))))))) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ (sin normAngle) (* -1 (* normAngle (* u (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))))))))) |
(+ normAngle (* -1 (* normAngle 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)))) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(/ n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(/ (* n0_i (sin normAngle)) n1_i) |
(+ (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) n1_i))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) n1_i)) (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(* 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)))))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 3) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))) |
(* (pow u 3) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 3))))))) |
(* -1 (* n0_i (pow u 3))) |
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u)))) |
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 3)))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -3 (/ n0_i u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -3 (/ n0_i u)) (* 3 n0_i)) u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* 3 n0_i)) u)) (* 3 n0_i)) u))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* n1_i (pow u 3)) |
(+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) |
(* n0_i (pow (- 1 u) 3)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(* -1 n0_i) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i) |
(* n0_i (+ (/ (sin (* normAngle u)) n0_i) (/ (sin (* normAngle (- 1 u))) n1_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (pow u 3)) n0_i)) (* -1 (pow (- 1 u) 3))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
n1_i |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1 (pow u 3))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(pow normAngle 2) |
(*.f32 normAngle normAngle) |
normAngle |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/24 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/720 binary32) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle) |
(* -1 (* n0_i normAngle)) |
(*.f32 (neg.f32 normAngle) n0_i) |
(* normAngle (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) normAngle) |
(* normAngle (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/24 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) normAngle) |
(* normAngle (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2))))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/720 binary32) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) normAngle) |
(* normAngle (+ 1 (* -1/2 (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 normAngle normAngle)) #s(literal 1/2 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/720 binary32) (*.f32 normAngle normAngle) #s(literal 1/24 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/2 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/2 (pow normAngle 2))) |
(fma.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) |
(+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 normAngle normAngle)) #s(literal 1/2 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) |
(+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/720 binary32) (*.f32 normAngle normAngle) #s(literal 1/24 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/2 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #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 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/120 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 normAngle normAngle)) #s(literal -1/5040 binary32) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle) |
(/ 1 normAngle) |
(/.f32 #s(literal 1 binary32) normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) n1_i) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal 1/120 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(* normAngle (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) normAngle) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) normAngle) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) normAngle) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) normAngle) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/120 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle) |
(* 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 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) (*.f32 normAngle normAngle)) #s(literal -1/5040 binary32) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (/.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) |
(* normAngle (cos normAngle)) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos normAngle) |
(cos.f32 normAngle) |
(sin normAngle) |
(sin.f32 normAngle) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.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.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) u) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(fma.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)))) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u))) u)) u n0_i) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) u) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32))) u)) u) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u) |
(+ n0_i (* -3 (* n0_i u))) |
(fma.f32 (*.f32 #s(literal -3 binary32) n0_i) u n0_i) |
(+ n0_i (* u (+ (* -3 n0_i) (* 3 (* n0_i u))))) |
(fma.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) u n0_i) |
(+ n0_i (* u (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) u n0_i) |
(pow u 3) |
(pow.f32 u #s(literal 3 binary32)) |
u |
(+ n0_i (* u (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(fma.f32 (fma.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) u n0_i) |
(+ 1 (* -3 u)) |
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* 3 u) 3))) |
(fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(fma.f32 (fma.f32 (-.f32 #s(literal 3 binary32) u) u #s(literal -3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))) u n0_i) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u)) u #s(literal 1 binary32)) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (sin.f32 normAngle))) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) u (sin.f32 normAngle)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 u u)) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) u) |
(* 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 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) (*.f32 u u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(* 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 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) (*.f32 u u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) u) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n1_i u) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) n1_i)))) (sin.f32 normAngle))) u (/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) (sin.f32 normAngle))) u n0_i) |
(/ n0_i n1_i) |
(/.f32 n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(fma.f32 (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) u (/.f32 n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) n1_i) #s(literal -1/2 binary32) (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle))) u (/.f32 n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))))) u (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i) #s(literal -1/2 binary32))) u (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle))) u (/.f32 n0_i n1_i)) |
(/ (* n0_i (sin normAngle)) n1_i) |
(/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i) |
(+ (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (/ (* n0_i (sin normAngle)) n1_i)) |
(fma.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) u (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) n1_i))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(fma.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 (sin.f32 normAngle) u)) (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle))) n1_i) normAngle) u (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) n1_i)) (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) n1_i))) u (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (sin.f32 normAngle)) n1_i) #s(literal -1/2 binary32))) u (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i))) u (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i)) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) 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 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 3 binary32)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u))))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (+.f32 (/.f32 n0_i (pow.f32 u #s(literal 3 binary32))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u)))))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i)) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 u u)) (-.f32 n1_i n0_i)))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n1_i n0_i) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u)))))) |
(*.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 3))))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i))) (/.f32 n0_i (pow.f32 u #s(literal 3 binary32)))) (pow.f32 u #s(literal 3 binary32))) |
(* -1 (* n0_i (pow u 3))) |
(*.f32 (pow.f32 (neg.f32 u) #s(literal 3 binary32)) n0_i) |
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u)))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 3)))))) |
(*.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 #s(literal -1 binary32) n0_i (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (/.f32 n0_i (pow.f32 u #s(literal 3 binary32)))))) (pow.f32 u #s(literal 3 binary32))) |
(* -1 (pow u 3)) |
(pow.f32 (neg.f32 u) #s(literal 3 binary32)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 3 binary32) u) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) u) #s(literal 1 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 #s(literal 3 binary32) u)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 u u)) #s(literal 1 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i u)) u) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n0_i n1_i) (pow.f32 u #s(literal 3 binary32)))) |
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(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) n0_i))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(*.f32 (+.f32 (-.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (neg.f32 n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (pow u 3)) n0_i)) (* -1 (pow (- 1 u) 3))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) #s(literal 1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(*.f32 (-.f32 (fma.f32 (neg.f32 (/.f32 n1_i n0_i)) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle))) #s(literal 1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i)) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i))))) |
(*.f32 (-.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 n0_i)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i)) (neg.f32 n0_i)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) |
n1_i |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+.f32 (/.f32 (fma.f32 (*.f32 n1_i normAngle) u (neg.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i))) (sin.f32 normAngle)) n0_i) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) n1_i) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n1_i) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) n1_i) |
(* n1_i (- (pow u 3) u)) |
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
(* n1_i (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3))) |
(*.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 (/.f32 n0_i n1_i)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) (sin.f32 normAngle)) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) n1_i) #s(literal -1 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u))) (neg.f32 n1_i)) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal 1/6 binary32)) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(*.f32 (+.f32 (-.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)) (pow.f32 u #s(literal 3 binary32))) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1 (pow u 3))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle))) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 511 |
| 0 | 93 | 511 |
| 1 | 325 | 481 |
| 0 | 2471 | 472 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(literal -1/6 binary32) |
(-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
n1_i |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
n0_i |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i) |
(/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) |
(fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) |
(*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) |
(neg.f32 n0_i) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos.f32 normAngle) |
(sin.f32 normAngle) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 n0_i n1_i) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
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u |
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n0_i |
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normAngle |
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(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (*.f32 normAngle u)))) |
(/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (*.f32 normAngle u)))))) |
(/.f32 (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (*.f32 normAngle u)))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (*.f32 normAngle u))))) |
(-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (neg.f32 (/.f32 n0_i n1_i)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 n0_i n1_i))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32) (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i) (sin.f32 (*.f32 normAngle u))) |
(fma.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (*.f32 normAngle u))) |
(+.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(/.f32 (neg.f32 n0_i) (neg.f32 n1_i)) |
(/.f32 n0_i (neg.f32 (neg.f32 n1_i))) |
(/.f32 n0_i n1_i) |
(neg.f32 (/.f32 (neg.f32 n0_i) n1_i)) |
(neg.f32 (/.f32 n0_i (neg.f32 n1_i))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 u normAngle) |
Compiled 54 768 to 4 091 computations (92.5% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 852 | 15 | 867 |
| Fresh | 6 | 1 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 862 | 17 | 879 |
| Status | Accuracy | Program |
|---|---|---|
| 87.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| 88.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/24 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| ▶ | 88.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i)) |
| ✓ | 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 99.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 99.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) | |
| 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) | |
| 76.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) | |
| 95.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) #s(approx (sin (* (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) | |
| ▶ | 97.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
| ▶ | 36.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
| ▶ | 99.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
| 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) | |
| ▶ | 35.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
| 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) | |
| 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (neg.f32 n0_i) u)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))))) |
Compiled 2 130 to 1 136 computations (46.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) |
(-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) |
(-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) |
(*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) |
#s(literal 1/720 binary32) |
(*.f32 n0_i u) |
n0_i |
u |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) |
#s(literal -1/24 binary32) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) |
(*.f32 #s(literal 1/2 binary32) n0_i) |
#s(literal 1/2 binary32) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)) |
#s(literal 1/6 binary32) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)) |
#s(literal -1/5040 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
(*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
#s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i) |
(/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
(sin.f32 normAngle) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
#s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
| Outputs |
|---|
(+ (* 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 (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(* -1/24 (* n0_i u)) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) |
(pow normAngle 2) |
normAngle |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(* normAngle (- n1_i n0_i)) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(- n1_i n0_i) |
(- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i) |
(* n0_i (pow normAngle 2)) |
(* 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)))) |
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)))) |
(* 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)))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(* (pow normAngle 6) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (+ (* 1/2 (/ (* n0_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(* 1/2 (* n0_i (pow normAngle 3))) |
(* (pow normAngle 3) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* 1/2 (* n0_i (pow normAngle 2))) |
(* (pow normAngle 2) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(sin normAngle) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(sin (* normAngle u)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (- n1_i n0_i) (pow normAngle 2))) (* -1/2 n0_i)))) |
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 (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* u (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))))) |
(* u (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))) |
(* 1/720 (* n0_i u)) |
(* n0_i u) |
(* u (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))) |
(* u (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* u (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) |
(* 1/6 (* u (- n1_i n0_i))) |
(* u (- n1_i n0_i)) |
(* 1/120 (* u (- n1_i n0_i))) |
(* u (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))) |
(* -1/5040 (* u (- n1_i n0_i))) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(/ n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i)) |
(/ 1 n1_i) |
(+ (* -1 (/ u n1_i)) (/ 1 n1_i)) |
1 |
(+ 1 (* -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)))) |
(* 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)))))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ 1 (* -1 (/ n0_i n1_i)))) |
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u))))) |
(* -1 (/ u n1_i)) |
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))))))))) |
(* -1 (* u (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))) |
(* -1 (* u (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(* -1 (* u (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(* -1 (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(* -1 (* u (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) |
(* -1 (* u (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(* -1 (* u (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) |
(* -1 (* u (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) (sin normAngle)) |
(* -1 (* u (- (/ n0_i n1_i) 1))) |
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1))) |
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))))) |
(+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(+ (* 1/6 (* n1_i u)) (+ (* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* -1 (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) (* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(* -1 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(- (* n0_i (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) |
(+ (* -1/36 (* n1_i u)) (+ (* 1/120 (* n1_i u)) (* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) |
(* 1/6 (* n1_i u)) |
(+ (* 1/6 (* n1_i u)) (* n0_i (+ (* -1/6 u) (* 1/2 u)))) |
(* 1/2 n0_i) |
(+ (* -1/6 (* n0_i u)) (* 1/6 (* n1_i u))) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(* 1/120 (* n1_i u)) |
(+ (* -1/120 (* n0_i u)) (* 1/120 (* n1_i u))) |
(+ (* -1/5040 (* n1_i u)) (* 1/720 (* n1_i u))) |
(+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* n0_i (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* -1/5040 (* n1_i u)) |
(+ (* -1/5040 (* n1_i u)) (* 1/5040 (* n0_i u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(+ (* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) (* n1_i normAngle)) |
(+ n1_i (* n0_i (- (* 1/2 (pow normAngle 2)) 1))) |
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/2 u) (+ (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (/ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) n0_i)))))) |
(* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (- (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i))))))) |
(* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (* 1/720 u)) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))) |
(* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/5040 u) (+ (* 1/720 (/ (* n1_i u) n0_i)) (+ (* 1/120 (+ (* -1/6 u) (* 1/2 u))) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)))))))) |
(* n0_i (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (* -1/24 u)) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (* 1/2 u))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/2 u)))) |
(* -1/6 (* n0_i u)) |
(* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* -1/120 (* n0_i u)) |
(* n0_i (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))) |
(* n0_i (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/5040 u) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* 1/5040 (* n0_i u)) |
(* n0_i (+ (* -1/5040 (/ (* n1_i u) n0_i)) (* 1/5040 u))) |
(* n0_i (+ 1 (* -1 u))) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(* n0_i (- (/ 1 n1_i) (/ u n1_i))) |
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) |
(* n0_i (+ (* normAngle (- (* 1/2 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (- (* 1/2 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/2 (pow normAngle 2)) (/ n1_i n0_i)) 1)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) 1))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) |
(* -1 (* n0_i (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) n0_i)) (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))))) |
(* -1 (* n0_i (+ (* 1/24 u) (+ (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i))))) |
(* -1 (* n0_i (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (- (+ (* -1/720 u) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i))))) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (- (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (* 1/24 u))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* -1/2 u) (* 1/6 u)))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))))) |
(* -1 (* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u)))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i u) n0_i)) (* 1/120 u)))) |
(* -1 (* n0_i (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (* 1/720 (* n1_i u))) n0_i)) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) |
(* -1 (* n0_i (+ (* -1/5040 u) (* 1/5040 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- u 1))) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(/ (* n0_i (- 1 u)) n1_i) |
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (* normAngle (+ 1 (* -1/2 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))))) |
(* -1 (* n0_i (+ 1 (* -1/2 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/2 (pow normAngle 2)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (+ (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(- (+ (* -1/24 (* n0_i u)) (+ (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) |
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) |
(- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(- (+ (* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))) |
(+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (+ (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(- (+ (* -1 (* n1_i (+ (* -1/36 u) (* 1/120 u)))) (* -1/24 (* n0_i u))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (+ (* -1/120 (* n0_i u)) (* n1_i (+ (* -1/36 u) (* 1/120 u))))) |
(+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/6 (* n1_i u)) (* 1/2 (* n0_i u)))) |
(+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))) |
(+ (* 1/5040 (* n0_i u)) (+ (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* n1_i (+ (* -1/5040 u) (* 1/720 u))))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(/ (- 1 u) n1_i) |
(* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) |
(+ (* n1_i normAngle) (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i))) |
(- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) n1_i)))))) |
(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (+ (* 1/2 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (/ (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) n1_i)))))) |
(* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) |
(* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i))) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) |
(* n1_i (- (* 1/720 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))))) |
(* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))) |
(* n1_i (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))))) |
(* -1 (* n1_i (+ (* -1/36 u) (* 1/120 u)))) |
(* n1_i (- (* -1/24 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(* n1_i (+ (* -1/36 u) (* 1/120 u))) |
(* n1_i (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (* 1/2 (/ (* n0_i u) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))) |
(* n1_i (+ (* -1/5040 u) (* 1/720 u))) |
(* n1_i (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)))))) |
(* n1_i (+ (* -1/5040 u) (* 1/5040 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* n1_i (+ normAngle (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (/ n0_i n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))))) |
(* -1 (* n1_i (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i))) (+ (* -1/120 u) (* 1/36 u))))) |
(* n1_i (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) n1_i))))) |
(* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(* n1_i (+ (* -1/120 u) (* 1/36 u))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/36 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* -1/6 u)))) |
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/120 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1/720 u) (* 1/5040 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))) n1_i)) (+ (* -1/720 u) (* 1/5040 u))))) |
(* -1 (* n1_i (+ (* -1/5040 (/ (* n0_i u) n1_i)) (* 1/5040 u)))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 normAngle) (* -1 (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) n1_i)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | n0_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* 1/720 (* n0_i u)) 1/720 (* n0_i u) n0_i u (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040))) (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* -1/24 (* n0_i u)) -1/24 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) 1/6 (* (- n1_i n0_i) u) (- n1_i n0_i) n1_i -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)) (* (* (- n1_i n0_i) u) -1/5040) -1/5040 (* normAngle normAngle) normAngle (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* n0_i (/ (- 1 u) n1_i)) u) (/ (- 1 u) n1_i) (- 1 u) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/ (sin (* normAngle u)) (sin normAngle)) (sin (* normAngle u)) (* normAngle u)) |
| 29.0ms | n0_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* 1/720 (* n0_i u)) 1/720 (* n0_i u) n0_i u (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040))) (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* -1/24 (* n0_i u)) -1/24 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) 1/6 (* (- n1_i n0_i) u) (- n1_i n0_i) n1_i -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)) (* (* (- n1_i n0_i) u) -1/5040) -1/5040 (* normAngle normAngle) normAngle (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* n0_i (/ (- 1 u) n1_i)) u) (/ (- 1 u) n1_i) (- 1 u) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/ (sin (* normAngle u)) (sin normAngle)) (sin (* normAngle u)) (* normAngle u)) |
| 16.0ms | n1_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* 1/720 (* n0_i u)) 1/720 (* n0_i u) n0_i u (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040))) (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* -1/24 (* n0_i u)) -1/24 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) 1/6 (* (- n1_i n0_i) u) (- n1_i n0_i) n1_i -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)) (* (* (- n1_i n0_i) u) -1/5040) -1/5040 (* normAngle normAngle) normAngle (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* n0_i (/ (- 1 u) n1_i)) u) (/ (- 1 u) n1_i) (- 1 u) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/ (sin (* normAngle u)) (sin normAngle)) (sin (* normAngle u)) (* normAngle u)) |
| 12.0ms | u | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* 1/720 (* n0_i u)) 1/720 (* n0_i u) n0_i u (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040))) (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* -1/24 (* n0_i u)) -1/24 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) 1/6 (* (- n1_i n0_i) u) (- n1_i n0_i) n1_i -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)) (* (* (- n1_i n0_i) u) -1/5040) -1/5040 (* normAngle normAngle) normAngle (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* n0_i (/ (- 1 u) n1_i)) u) (/ (- 1 u) n1_i) (- 1 u) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/ (sin (* normAngle u)) (sin normAngle)) (sin (* normAngle u)) (* normAngle u)) |
| 11.0ms | n1_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* 1/720 (* n0_i u)) 1/720 (* n0_i u) n0_i u (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040))) (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* -1/24 (* n0_i u)) -1/24 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) 1/6 (* (- n1_i n0_i) u) (- n1_i n0_i) n1_i -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)) (* (* (- n1_i n0_i) u) -1/5040) -1/5040 (* normAngle normAngle) normAngle (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* n0_i (/ (- 1 u) n1_i)) u) (/ (- 1 u) n1_i) (- 1 u) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/ (sin (* normAngle u)) (sin normAngle)) (sin (* normAngle u)) (* normAngle u)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1396 | 12062 |
| 1 | 5292 | 11988 |
| 0 | 8233 | 10990 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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 (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(* -1/24 (* n0_i u)) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) |
(pow normAngle 2) |
normAngle |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(* normAngle (- n1_i n0_i)) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(- n1_i n0_i) |
(- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i) |
(* n0_i (pow normAngle 2)) |
(* 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)))) |
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)))) |
(* 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)))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(* (pow normAngle 6) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (+ (* 1/2 (/ (* n0_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(* 1/2 (* n0_i (pow normAngle 3))) |
(* (pow normAngle 3) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* 1/2 (* n0_i (pow normAngle 2))) |
(* (pow normAngle 2) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(sin normAngle) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(sin (* normAngle u)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (- n1_i n0_i) (pow normAngle 2))) (* -1/2 n0_i)))) |
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 (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* u (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))))) |
(* u (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))) |
(* 1/720 (* n0_i u)) |
(* n0_i u) |
(* u (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))) |
(* u (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* u (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) |
(* 1/6 (* u (- n1_i n0_i))) |
(* u (- n1_i n0_i)) |
(* 1/120 (* u (- n1_i n0_i))) |
(* u (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))) |
(* -1/5040 (* u (- n1_i n0_i))) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(/ n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i)) |
(/ 1 n1_i) |
(+ (* -1 (/ u n1_i)) (/ 1 n1_i)) |
1 |
(+ 1 (* -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)))) |
(* 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)))))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ 1 (* -1 (/ n0_i n1_i)))) |
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u))))) |
(* -1 (/ u n1_i)) |
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))))))))) |
(* -1 (* u (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))) |
(* -1 (* u (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(* -1 (* u (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(* -1 (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(* -1 (* u (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) |
(* -1 (* u (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(* -1 (* u (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) |
(* -1 (* u (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) (sin normAngle)) |
(* -1 (* u (- (/ n0_i n1_i) 1))) |
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1))) |
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))))) |
(+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(+ (* 1/6 (* n1_i u)) (+ (* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* -1 (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) (* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(* -1 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(- (* n0_i (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) |
(+ (* -1/36 (* n1_i u)) (+ (* 1/120 (* n1_i u)) (* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) |
(* 1/6 (* n1_i u)) |
(+ (* 1/6 (* n1_i u)) (* n0_i (+ (* -1/6 u) (* 1/2 u)))) |
(* 1/2 n0_i) |
(+ (* -1/6 (* n0_i u)) (* 1/6 (* n1_i u))) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(* 1/120 (* n1_i u)) |
(+ (* -1/120 (* n0_i u)) (* 1/120 (* n1_i u))) |
(+ (* -1/5040 (* n1_i u)) (* 1/720 (* n1_i u))) |
(+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* n0_i (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* -1/5040 (* n1_i u)) |
(+ (* -1/5040 (* n1_i u)) (* 1/5040 (* n0_i u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i)))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(+ (* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) (* n1_i normAngle)) |
(+ n1_i (* n0_i (- (* 1/2 (pow normAngle 2)) 1))) |
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/2 u) (+ (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (/ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) n0_i)))))) |
(* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (- (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i))))))) |
(* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (* 1/720 u)) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))) |
(* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/5040 u) (+ (* 1/720 (/ (* n1_i u) n0_i)) (+ (* 1/120 (+ (* -1/6 u) (* 1/2 u))) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)))))))) |
(* n0_i (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (* -1/24 u)) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (* 1/2 u))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/2 u)))) |
(* -1/6 (* n0_i u)) |
(* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* -1/120 (* n0_i u)) |
(* n0_i (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))) |
(* n0_i (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/5040 u) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* 1/5040 (* n0_i u)) |
(* n0_i (+ (* -1/5040 (/ (* n1_i u) n0_i)) (* 1/5040 u))) |
(* n0_i (+ 1 (* -1 u))) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(* n0_i (- (/ 1 n1_i) (/ u n1_i))) |
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) |
(* n0_i (+ (* normAngle (- (* 1/2 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (- (* 1/2 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/2 (pow normAngle 2)) (/ n1_i n0_i)) 1)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) 1))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) |
(* -1 (* n0_i (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) n0_i)) (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))))) |
(* -1 (* n0_i (+ (* 1/24 u) (+ (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i))))) |
(* -1 (* n0_i (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (- (+ (* -1/720 u) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i))))) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (- (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (* 1/24 u))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* -1/2 u) (* 1/6 u)))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))))) |
(* -1 (* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u)))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i u) n0_i)) (* 1/120 u)))) |
(* -1 (* n0_i (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (* 1/720 (* n1_i u))) n0_i)) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) |
(* -1 (* n0_i (+ (* -1/5040 u) (* 1/5040 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- u 1))) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(/ (* n0_i (- 1 u)) n1_i) |
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (* normAngle (+ 1 (* -1/2 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))))) |
(* -1 (* n0_i (+ 1 (* -1/2 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/2 (pow normAngle 2)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (+ (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(- (+ (* -1/24 (* n0_i u)) (+ (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) |
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) |
(- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(- (+ (* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))) |
(+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (+ (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(- (+ (* -1 (* n1_i (+ (* -1/36 u) (* 1/120 u)))) (* -1/24 (* n0_i u))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (+ (* -1/120 (* n0_i u)) (* n1_i (+ (* -1/36 u) (* 1/120 u))))) |
(+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/6 (* n1_i u)) (* 1/2 (* n0_i u)))) |
(+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))) |
(+ (* 1/5040 (* n0_i u)) (+ (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* n1_i (+ (* -1/5040 u) (* 1/720 u))))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(/ (- 1 u) n1_i) |
(* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) |
(+ (* n1_i normAngle) (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i))) |
(- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) n1_i)))))) |
(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (+ (* 1/2 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (/ (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) n1_i)))))) |
(* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) |
(* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i))) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) |
(* n1_i (- (* 1/720 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))))) |
(* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))) |
(* n1_i (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))))) |
(* -1 (* n1_i (+ (* -1/36 u) (* 1/120 u)))) |
(* n1_i (- (* -1/24 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(* n1_i (+ (* -1/36 u) (* 1/120 u))) |
(* n1_i (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (* 1/2 (/ (* n0_i u) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))) |
(* n1_i (+ (* -1/5040 u) (* 1/720 u))) |
(* n1_i (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)))))) |
(* n1_i (+ (* -1/5040 u) (* 1/5040 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* n1_i (+ normAngle (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (/ n0_i n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))))) |
(* -1 (* n1_i (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i))) (+ (* -1/120 u) (* 1/36 u))))) |
(* n1_i (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) n1_i))))) |
(* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(* n1_i (+ (* -1/120 u) (* 1/36 u))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/36 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* -1/6 u)))) |
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/120 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1/720 u) (* 1/5040 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))) n1_i)) (+ (* -1/720 u) (* 1/5040 u))))) |
(* -1 (* n1_i (+ (* -1/5040 (/ (* n0_i u) n1_i)) (* 1/5040 u)))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 normAngle) (* -1 (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) n1_i)) 1))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 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))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (neg.f32 u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 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))))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (-.f32 (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i)) (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (neg.f32 u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) u (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (neg.f32 u) n1_i))))))))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (neg.f32 u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) u) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) n0_i) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))) |
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 normAngle normAngle))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(* -1/24 (* n0_i u)) |
(*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) |
(pow normAngle 2) |
(*.f32 normAngle normAngle) |
normAngle |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) n1_i) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i (*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) (*.f32 normAngle normAngle))) u) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i (*.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle))) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle))) u) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal 1/120 binary32) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle))) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)) u) |
(+ n1_i (* -1 n0_i)) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 1/120 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(*.f32 (+.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/24 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(*.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/720 binary32) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle) |
(* normAngle (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) normAngle) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) normAngle) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) |
(* n0_i (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u))) (*.f32 normAngle normAngle) u) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/120 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle) |
(* 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 (fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) (*.f32 normAngle normAngle)) #s(literal -1/5040 binary32) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle) |
(* (pow normAngle 6) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) normAngle) (/.f32 #s(literal -1/6 binary32) normAngle) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle)))))))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) u (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) normAngle) (/.f32 #s(literal -1/6 binary32) normAngle) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle)))))))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (+ (* 1/2 (/ (* n0_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) u (+.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (pow.f32 normAngle #s(literal 6 binary32)))))) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) normAngle) (/.f32 #s(literal -1/6 binary32) normAngle) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle)))))))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 4) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) normAngle) (/.f32 #s(literal -1/6 binary32) normAngle) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle))))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) u (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) normAngle) (/.f32 #s(literal -1/6 binary32) normAngle) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle)))))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u))) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) normAngle) (/.f32 #s(literal -1/6 binary32) normAngle) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) (*.f32 (/.f32 u normAngle) (/.f32 (-.f32 n1_i n0_i) normAngle)))))))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 n0_i u) #s(literal 1/2 binary32))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))))) (*.f32 normAngle normAngle)) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(* 1/2 (* n0_i (pow normAngle 3))) |
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i) #s(literal 1/2 binary32)) |
(* (pow normAngle 3) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 3 binary32))) |
(* 1/2 (* n0_i (pow normAngle 2))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) |
(* (pow normAngle 2) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) u) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (- n1_i n0_i) (pow normAngle 2))) (* -1/2 n0_i)))) |
(*.f32 (neg.f32 (pow.f32 normAngle #s(literal 3 binary32))) (fma.f32 #s(literal -1/2 binary32) n0_i (/.f32 (neg.f32 (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i) (cos.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i) u n0_i) |
(* u (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) u) |
(* u (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) u) |
(* u (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) u) |
(* u (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))) |
(*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) u) |
(* 1/720 (* n0_i u)) |
(*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) |
(* n0_i u) |
(*.f32 n0_i u) |
(* u (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32)))) u) |
(* u (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) u) |
(* u (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) u) |
(* u (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) |
(*.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) u) |
(* 1/6 (* u (- n1_i n0_i))) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)) |
(* u (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* 1/120 (* u (- n1_i n0_i))) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
(* u (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))) u) |
(* -1/5040 (* u (- n1_i n0_i))) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) normAngle) u) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) normAngle) n1_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n1_i u) (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i) (cos.f32 normAngle)) n1_i) #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (sin.f32 normAngle))) u (/.f32 (*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) normAngle) n1_i) (sin.f32 normAngle))) u n0_i) |
(/ n0_i n1_i) |
(/.f32 n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (/.f32 normAngle (sin.f32 normAngle))) u (/.f32 n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) n1_i) #s(literal -1/2 binary32) (/.f32 normAngle (sin.f32 normAngle)))) u (/.f32 n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (fma.f32 (fma.f32 (fma.f32 (/.f32 #s(literal 1/6 binary32) n1_i) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i) #s(literal -1/2 binary32))) u (/.f32 normAngle (sin.f32 normAngle)))) u (/.f32 n0_i n1_i)) |
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i) #s(literal 1 binary32)) u (/.f32 n0_i n1_i)) |
(/ 1 n1_i) |
(/.f32 #s(literal 1 binary32) n1_i) |
(+ (* -1 (/ u n1_i)) (/ 1 n1_i)) |
(/.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n1_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 normAngle (/.f32 u (sin.f32 normAngle))) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) (sin.f32 normAngle)) u) |
(* 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 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* 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 (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) 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 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u))) u) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i) u) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) (/ n0_i u))) n0_i)) |
(*.f32 (-.f32 (+.f32 (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) (/.f32 n0_i u)) n0_i) u) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) n1_i) u) |
(* u (+ 1 (* -1 (/ n0_i n1_i)))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i) #s(literal 1 binary32)) u) |
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u))))) |
(*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) (/.f32 n0_i n1_i) (/.f32 (/.f32 n0_i n1_i) u)) #s(literal 1 binary32)) u) |
(* -1 (/ u n1_i)) |
(/.f32 (neg.f32 u) n1_i) |
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i))) |
(*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1 binary32) n1_i) u) (/.f32 #s(literal 1 binary32) n1_i)) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u)) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 (-.f32 n1_i n0_i))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))))))))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (/.f32 (neg.f32 n0_i) u))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) (neg.f32 u)) |
(* -1 (* u (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (neg.f32 u)) |
(* -1 (* u (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (neg.f32 u)) |
(* -1 (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(*.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))))))) |
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(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(+ (* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) (* n1_i normAngle)) |
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) normAngle) n0_i (*.f32 n1_i normAngle)) |
(+ n1_i (* n0_i (- (* 1/2 (pow normAngle 2)) 1))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i n1_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 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 (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
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(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32)) n0_i) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
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(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) |
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(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)))))) |
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(* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) |
(*.f32 (fma.f32 u #s(literal 1/3 binary32) (*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle))) n0_i) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/2 u) (+ (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (/ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) n0_i)))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) u (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal 1/6 binary32) (fma.f32 #s(literal 1/2 binary32) u (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle) (/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)) n0_i))))) n0_i) |
(* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) n0_i) |
(* n0_i (- (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i))))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (/.f32 (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u))) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal -1/36 binary32) (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) u))))) n0_i) |
(* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) n0_i) |
(* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (/.f32 (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u))) n0_i) |
(* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) n0_i) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (* 1/720 u)) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(*.f32 (-.f32 (fma.f32 #s(literal 1/720 binary32) u (/.f32 (neg.f32 (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) n0_i) |
(* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u))) n0_i) |
(* n0_i (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/5040 u) (+ (* 1/720 (/ (* n1_i u) n0_i)) (+ (* 1/120 (+ (* -1/6 u) (* 1/2 u))) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)))))))) |
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(* n0_i (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
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(* n0_i (- (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (* -1/24 u)) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
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(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))) |
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(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))))) |
(*.f32 (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal -1/36 binary32) (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) u)))) n0_i) |
(* n0_i (+ (* -1/6 u) (* 1/2 u))) |
(*.f32 (*.f32 u #s(literal 1/3 binary32)) n0_i) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/2 u)))) |
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(* -1/6 (* n0_i u)) |
(*.f32 (*.f32 n0_i u) #s(literal -1/6 binary32)) |
(* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))) |
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(* -1 (* n0_i u)) |
(*.f32 (neg.f32 u) n0_i) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
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(* -1/120 (* n0_i u)) |
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(* n0_i (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))) |
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(* n0_i (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))) |
(*.f32 (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)) n0_i) |
(* n0_i (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/5040 u) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal -1/5040 binary32) (fma.f32 #s(literal 1/5040 binary32) u (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal 1/720 binary32) (*.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32))))) n0_i) |
(* 1/5040 (* n0_i u)) |
(*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u)) |
(* n0_i (+ (* -1/5040 (/ (* n1_i u) n0_i)) (* 1/5040 u))) |
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(+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (+ (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))))) |
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(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) |
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(-.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (*.f32 (*.f32 u #s(literal -7/360 binary32)) n1_i)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) |
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(fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u))) |
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(fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal -7/360 binary32)) n1_i (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) |
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(*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) |
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(+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))) |
(fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))) |
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(fma.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u) (fma.f32 (*.f32 u #s(literal 1/840 binary32)) n1_i (*.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32)))) |
(+ n0_i (* -1 (* n0_i u))) |
(-.f32 n0_i (*.f32 n0_i u)) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) |
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(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) n1_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(/.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) n1_i) |
(/ (- 1 u) n1_i) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) normAngle) |
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(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) normAngle (*.f32 n1_i normAngle)) |
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(-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
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(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
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(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) |
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(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) n1_i)))))) |
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(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (+ (* 1/2 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (/ (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) n1_i)))))) |
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(* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) |
(*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) n1_i) |
(* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i))) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(*.f32 (-.f32 (fma.f32 (neg.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) n1_i)) (fma.f32 (/.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) n1_i) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/36 binary32) u (fma.f32 (*.f32 n0_i (/.f32 u n1_i)) #s(literal -1/120 binary32) (*.f32 #s(literal 1/120 binary32) u))))) n1_i) |
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) |
(*.f32 (*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (neg.f32 n1_i)) |
(* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i)))) |
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(* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) |
(*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (neg.f32 n1_i)) |
(* n1_i (- (* 1/720 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 n0_i (/.f32 u n1_i)) #s(literal 1/720 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) n1_i) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/5040 binary32) u (fma.f32 (*.f32 n0_i (/.f32 u n1_i)) #s(literal 1/5040 binary32) (fma.f32 #s(literal 1/720 binary32) u (fma.f32 (/.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) n1_i) #s(literal 1/120 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))))))) n1_i) |
(* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))) |
(*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) n1_i) |
(* n1_i (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) n1_i) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/5040 binary32) u (fma.f32 (*.f32 n0_i (/.f32 u n1_i)) #s(literal 1/5040 binary32) (fma.f32 #s(literal 1/720 binary32) u (fma.f32 (/.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) n1_i) #s(literal 1/120 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))))) n1_i) |
(* -1 (* n1_i (+ (* -1/36 u) (* 1/120 u)))) |
(*.f32 (*.f32 u #s(literal -7/360 binary32)) (neg.f32 n1_i)) |
(* n1_i (- (* -1/24 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
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(* n1_i (+ (* -1/36 u) (* 1/120 u))) |
(*.f32 (*.f32 u #s(literal -7/360 binary32)) n1_i) |
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(*.f32 (fma.f32 (*.f32 n0_i (/.f32 u n1_i)) #s(literal -1/5040 binary32) (*.f32 #s(literal 1/5040 binary32) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 n0_i (*.f32 n0_i u)) n1_i) #s(literal -1 binary32) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (* -1 (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))) |
(*.f32 (*.f32 #s(literal -1 binary32) (fma.f32 normAngle (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) n1_i) normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) n1_i)) 1))) |
(*.f32 (-.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 87 | 1382 |
| 0 | 134 | 1376 |
| 1 | 545 | 1321 |
| 2 | 4679 | 1321 |
| 0 | 8704 | 1271 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) |
(-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) |
(-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) |
(*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) |
#s(literal 1/720 binary32) |
(*.f32 n0_i u) |
n0_i |
u |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) |
#s(literal -1/24 binary32) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) |
(*.f32 #s(literal 1/2 binary32) n0_i) |
#s(literal 1/2 binary32) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)) |
#s(literal 1/6 binary32) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)) |
#s(literal -1/5040 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
(*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
#s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i) |
(/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
(sin.f32 normAngle) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
#s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
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(fma.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
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(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
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(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)))) |
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(fma.f32 u (-.f32 n1_i n0_i) (+.f32 n0_i (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)))) |
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(-.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) normAngle)) normAngle)) |
(-.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 normAngle normAngle))) |
(-.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 u #s(literal 1/2 binary32)) n0_i (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (fabs.f32 normAngle)) (fabs.f32 normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (neg.f32 normAngle)) (neg.f32 normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) normAngle) normAngle (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (-.f32 n1_i n0_i) (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i u) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 n0_i (*.f32 #s(literal 1/2 binary32) u) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 normAngle (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle))) |
(fma.f32 u (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle))) |
(fma.f32 u (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(fma.f32 u (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle)))) |
(+.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32))) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) |
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(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (fabs.f32 normAngle)) (fabs.f32 normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (neg.f32 normAngle)) (neg.f32 normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) normAngle) normAngle (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 n0_i u) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 (*.f32 n0_i u) #s(literal -1/24 binary32) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 n0_i (*.f32 u #s(literal -1/24 binary32)) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 normAngle (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(fma.f32 u (*.f32 #s(literal -1/24 binary32) n0_i) (-.f32 (*.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u)))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) |
(+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) normAngle) normAngle (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))) (*.f32 #s(literal -1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u))) |
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(+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 n1_i n0_i) u))))) normAngle) normAngle (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) |
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#s(literal 1/720 binary32) |
(*.f32 n0_i u) |
(*.f32 u n0_i) |
n0_i |
u |
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#s(literal -1/5040 binary32) |
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normAngle |
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(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
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(-.f32 n0_i (*.f32 (neg.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle))) u)) |
(-.f32 n0_i (*.f32 (neg.f32 u) (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i) |
(fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i) |
(fma.f32 u (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) n0_i) |
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#s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))) normAngle) (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i))) |
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(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) normAngle (*.f32 (-.f32 n1_i n0_i) normAngle)) |
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(fma.f32 normAngle (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (*.f32 normAngle (-.f32 n1_i n0_i))) |
(fma.f32 normAngle (-.f32 n1_i n0_i) (*.f32 normAngle (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))) |
(+.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) normAngle) (*.f32 (-.f32 n1_i n0_i) normAngle)) |
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(+.f32 (*.f32 normAngle (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32))) (*.f32 normAngle (-.f32 n1_i n0_i))) |
(+.f32 (*.f32 normAngle (-.f32 n1_i n0_i)) (*.f32 normAngle (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))) |
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(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 3 binary32)) #s(literal 1/8 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)))) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) |
(-.f32 (-.f32 n1_i n0_i) (*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) n0_i)) #s(literal 1/2 binary32))) |
(-.f32 (-.f32 n1_i n0_i) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (*.f32 #s(literal 1/2 binary32) n0_i))) |
(-.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) |
(-.f32 n1_i (-.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) n0_i (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) n0_i (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) normAngle) (*.f32 n0_i normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (-.f32 n1_i n0_i)) |
(fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)) |
(fma.f32 normAngle (*.f32 (*.f32 n0_i normAngle) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (fma.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 2 binary32)) #s(literal 1/4 binary32) (*.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32))))))) |
(+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)) |
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 n0_i (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 n0_i (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 n0_i normAngle) normAngle) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) n0_i)) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
(*.f32 n0_i (*.f32 normAngle normAngle)) |
(*.f32 normAngle (*.f32 n0_i normAngle)) |
(*.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #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)) |
(sin.f32 normAngle) |
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(*.f32 n1_i #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
#s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 normAngle u (PI.f32)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (sin.f32 (fma.f32 normAngle u (PI.f32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle u (PI.f32))) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 u normAngle) |
Compiled 226 683 to 10 104 computations (95.5% saved)
21 alts after pruning (18 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 511 | 12 | 1 523 |
| Fresh | 5 | 6 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 519 | 21 | 1 540 |
| Status | Accuracy | Program |
|---|---|---|
| 88.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| ▶ | 88.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
| ✓ | 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 99.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) | |
| ▶ | 88.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
| 76.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) | |
| 95.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) #s(approx (sin (* (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) | |
| ✓ | 97.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
| 80.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) | |
| ✓ | 36.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
| 36.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))) n1_i)) | |
| 36.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))) n1_i)) | |
| ▶ | 99.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
| 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| ▶ | 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
| 7.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) | |
| 60.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| ▶ | 37.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
Compiled 2 691 to 1 438 computations (46.6% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) |
(-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) |
#s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) |
(*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i) |
(fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) |
u |
#s(literal -1/840 binary32) |
(*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) |
(*.f32 u #s(literal 7/360 binary32)) |
#s(literal 7/360 binary32) |
#s(literal 1/6 binary32) |
n1_i |
(*.f32 normAngle normAngle) |
normAngle |
(*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) |
#s(literal -1/24 binary32) |
(*.f32 n0_i u) |
n0_i |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) |
(*.f32 #s(literal 1/2 binary32) n0_i) |
#s(literal 1/2 binary32) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
#s(literal -1/6 binary32) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u)) |
(*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u) |
(+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) |
(/.f32 n0_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
(fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i) |
(/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) |
#s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
#s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i) |
(/.f32 u (sin.f32 normAngle)) |
(sin.f32 normAngle) |
| Outputs |
|---|
(+ (* 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 (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(* -1/24 (* n0_i u)) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) |
(pow normAngle 2) |
normAngle |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(* normAngle (- n1_i n0_i)) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(- n1_i n0_i) |
(- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i) |
(* n0_i (pow normAngle 2)) |
(* 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)))) |
1 |
(+ 1 (* -1/6 (pow normAngle 2))) |
(/ u normAngle) |
(/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle) |
(/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle) |
(/ (+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(* (pow normAngle 6) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (+ (* 1/2 (/ (* n0_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(* 1/2 (* n0_i (pow normAngle 3))) |
(* (pow normAngle 3) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* 1/2 (* n0_i (pow normAngle 2))) |
(* (pow normAngle 2) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(sin normAngle) |
(* -1/6 (pow normAngle 3)) |
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6)) |
(* -1/6 (pow normAngle 2)) |
(* (pow normAngle 2) (- (/ 1 (pow normAngle 2)) 1/6)) |
(/ u (sin normAngle)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (- n1_i n0_i) (pow normAngle 2))) (* -1/2 n0_i)))) |
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2))))) |
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 (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* u (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))))) |
(* u (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))) |
(* 31/15120 (* n1_i u)) |
(* 31/15120 u) |
u |
(* 7/2160 u) |
(* 7/360 u) |
(* n0_i u) |
(* u (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) |
(* 1/6 (* u (- n1_i n0_i))) |
(* u (- n1_i n0_i)) |
(* 1/120 (* u (- n1_i n0_i))) |
(* n1_i u) |
(/ n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))))))))) |
(* -1 (* u (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))) |
(* -1 (* u (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(* -1 (* u (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(* -1 (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(* -1 (* u (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))))) |
(+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(+ (* 1/6 (* n1_i u)) (+ (* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* -1 (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) |
(+ (* -1/36 (* n1_i u)) (+ (* 1/120 (* n1_i u)) (* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) |
(* 1/6 (* n1_i u)) |
(+ (* 1/6 (* n1_i u)) (* n0_i (+ (* -1/6 u) (* 1/2 u)))) |
(* 1/2 n0_i) |
(+ (* -1/6 (* n0_i u)) (* 1/6 (* n1_i u))) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(* 1/120 (* n1_i u)) |
(+ (* -1/120 (* n0_i u)) (* 1/120 (* n1_i u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(+ (* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) (* n1_i normAngle)) |
(+ n1_i (* n0_i (- (* 1/2 (pow normAngle 2)) 1))) |
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/2 u) (+ (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (/ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) n0_i)))))) |
(* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (- (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i))))))) |
(* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (* 1/720 u)) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (* 1/2 u))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/2 u)))) |
(* -1/6 (* n0_i u)) |
(* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* -1/120 (* n0_i u)) |
(* n0_i (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ 1 (* -1 u))) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ 1 u) 1)) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) |
(* n0_i (+ (* normAngle (- (* 1/2 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (- (* 1/2 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/2 (pow normAngle 2)) (/ n1_i n0_i)) 1)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) 1))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) |
(* -1 (* n0_i (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) n0_i)) (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))))) |
(* -1 (* n0_i (+ (* 1/24 u) (+ (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i))))) |
(* -1 (* n0_i (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (- (+ (* -1/720 u) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i))))) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* -1/2 u) (* 1/6 u)))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))))) |
(* -1 (* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u)))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i u) n0_i)) (* 1/120 u)))) |
(* -1 (* n0_i (- u 1))) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (* normAngle (+ 1 (* -1/2 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))))) |
(* -1 (* n0_i (+ 1 (* -1/2 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/2 (pow normAngle 2)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (+ (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(- (+ (* -1/24 (* n0_i u)) (+ (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) |
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) |
(- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(- (+ (* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(* n1_i (+ (* -1/840 u) (* 7/2160 u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (+ (* -1/120 (* n0_i u)) (* n1_i (+ (* -1/36 u) (* 1/120 u))))) |
(+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/6 (* n1_i u)) (* 1/2 (* n0_i u)))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(- (/ n0_i u) n0_i) |
(* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) |
(+ (* n1_i normAngle) (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i))) |
(- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) n1_i)))))) |
(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (+ (* 1/2 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (/ (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) n1_i)))))) |
(* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) |
(* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i))) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) |
(* n1_i (- (* 1/720 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))))) |
(* n1_i (+ (* -1/36 u) (* 1/120 u))) |
(* n1_i (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (* 1/2 (/ (* n0_i u) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* n1_i (+ normAngle (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (/ n0_i n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))))) |
(* -1 (* n1_i (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i))) (+ (* -1/120 u) (* 1/36 u))))) |
(* n1_i (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) n1_i))))) |
(* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/36 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* -1/6 u)))) |
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/120 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 normAngle) (* -1 (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) n1_i)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | u | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* (+ (* u -1/840) (* (* u 7/360) 1/6)) n1_i) (+ (* u -1/840) (* (* u 7/360) 1/6)) u -1/840 (* (* u 7/360) 1/6) (* u 7/360) 7/360 1/6 n1_i (* normAngle normAngle) normAngle (* -1/24 (* n0_i u)) -1/24 (* n0_i u) n0_i (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) (* (- n1_i n0_i) u) (- n1_i n0_i) -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (/ n0_i u) (- n1_i n0_i)) u) (+ (/ n0_i u) (- n1_i n0_i)) (/ n0_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (* (+ (* -1/6 (* normAngle normAngle)) 1) normAngle) (+ (* -1/6 (* normAngle normAngle)) 1) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (/ u (sin normAngle))) n0_i) (/ u (sin normAngle)) (sin normAngle)) |
| 11.0ms | u | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* (+ (* u -1/840) (* (* u 7/360) 1/6)) n1_i) (+ (* u -1/840) (* (* u 7/360) 1/6)) u -1/840 (* (* u 7/360) 1/6) (* u 7/360) 7/360 1/6 n1_i (* normAngle normAngle) normAngle (* -1/24 (* n0_i u)) -1/24 (* n0_i u) n0_i (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) (* (- n1_i n0_i) u) (- n1_i n0_i) -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (/ n0_i u) (- n1_i n0_i)) u) (+ (/ n0_i u) (- n1_i n0_i)) (/ n0_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (* (+ (* -1/6 (* normAngle normAngle)) 1) normAngle) (+ (* -1/6 (* normAngle normAngle)) 1) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (/ u (sin normAngle))) n0_i) (/ u (sin normAngle)) (sin normAngle)) |
| 9.0ms | n1_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* (+ (* u -1/840) (* (* u 7/360) 1/6)) n1_i) (+ (* u -1/840) (* (* u 7/360) 1/6)) u -1/840 (* (* u 7/360) 1/6) (* u 7/360) 7/360 1/6 n1_i (* normAngle normAngle) normAngle (* -1/24 (* n0_i u)) -1/24 (* n0_i u) n0_i (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) (* (- n1_i n0_i) u) (- n1_i n0_i) -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (/ n0_i u) (- n1_i n0_i)) u) (+ (/ n0_i u) (- n1_i n0_i)) (/ n0_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (* (+ (* -1/6 (* normAngle normAngle)) 1) normAngle) (+ (* -1/6 (* normAngle normAngle)) 1) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (/ u (sin normAngle))) n0_i) (/ u (sin normAngle)) (sin normAngle)) |
| 8.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* (+ (* u -1/840) (* (* u 7/360) 1/6)) n1_i) (+ (* u -1/840) (* (* u 7/360) 1/6)) u -1/840 (* (* u 7/360) 1/6) (* u 7/360) 7/360 1/6 n1_i (* normAngle normAngle) normAngle (* -1/24 (* n0_i u)) -1/24 (* n0_i u) n0_i (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) (* (- n1_i n0_i) u) (- n1_i n0_i) -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (/ n0_i u) (- n1_i n0_i)) u) (+ (/ n0_i u) (- n1_i n0_i)) (/ n0_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (* (+ (* -1/6 (* normAngle normAngle)) 1) normAngle) (+ (* -1/6 (* normAngle normAngle)) 1) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (/ u (sin normAngle))) n0_i) (/ u (sin normAngle)) (sin normAngle)) |
| 8.0ms | u | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (+ (* (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (* normAngle normAngle)) (+ (* (- n1_i n0_i) u) n0_i)) (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* (+ (* u -1/840) (* (* u 7/360) 1/6)) n1_i) (+ (* u -1/840) (* (* u 7/360) 1/6)) u -1/840 (* (* u 7/360) 1/6) (* u 7/360) 7/360 1/6 n1_i (* normAngle normAngle) normAngle (* -1/24 (* n0_i u)) -1/24 (* n0_i u) n0_i (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) (* 1/2 n0_i) 1/2 (* 1/6 (* (- n1_i n0_i) u)) (* (- n1_i n0_i) u) (- n1_i n0_i) -1/6 (* (* (- n1_i n0_i) u) 1/120) 1/120 (+ (* (- n1_i n0_i) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (/ n0_i u) (- n1_i n0_i)) u) (+ (/ n0_i u) (- n1_i n0_i)) (/ n0_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (* (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) normAngle) (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (* (* normAngle normAngle) n0_i) (sin normAngle) (* (+ (* -1/6 (* normAngle normAngle)) 1) normAngle) (+ (* -1/6 (* normAngle normAngle)) 1) 1 (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (/ u (sin normAngle))) n0_i) (/ u (sin normAngle)) (sin normAngle)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1111 | 9785 |
| 1 | 4134 | 9237 |
| 0 | 8812 | 8497 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 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 (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(* -1/24 (* n0_i u)) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) |
(pow normAngle 2) |
normAngle |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(* normAngle (- n1_i n0_i)) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(- n1_i n0_i) |
(- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i) |
(* n0_i (pow normAngle 2)) |
(* 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)))) |
1 |
(+ 1 (* -1/6 (pow normAngle 2))) |
(/ u normAngle) |
(/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle) |
(/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle) |
(/ (+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(* (pow normAngle 6) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (+ (* 1/2 (/ (* n0_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(* 1/2 (* n0_i (pow normAngle 3))) |
(* (pow normAngle 3) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(* 1/2 (* n0_i (pow normAngle 2))) |
(* (pow normAngle 2) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(sin normAngle) |
(* -1/6 (pow normAngle 3)) |
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6)) |
(* -1/6 (pow normAngle 2)) |
(* (pow normAngle 2) (- (/ 1 (pow normAngle 2)) 1/6)) |
(/ u (sin normAngle)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (- n1_i n0_i) (pow normAngle 2))) (* -1/2 n0_i)))) |
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2))))) |
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 (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) |
(* u (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* u (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))))) |
(* u (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))) |
(* 31/15120 (* n1_i u)) |
(* 31/15120 u) |
u |
(* 7/2160 u) |
(* 7/360 u) |
(* n0_i u) |
(* u (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))) |
(* u (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) |
(* 1/6 (* u (- n1_i n0_i))) |
(* u (- n1_i n0_i)) |
(* 1/120 (* u (- n1_i n0_i))) |
(* n1_i u) |
(/ n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) (/ n0_i u))) n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))))))))) |
(* -1 (* u (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))) |
(* -1 (* u (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(* -1 (* u (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(* -1 (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(* -1 (* u (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))))) |
(+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(+ (* 1/6 (* n1_i u)) (+ (* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* -1 (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(- (* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) |
(+ (* -1/36 (* n1_i u)) (+ (* 1/120 (* n1_i u)) (* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) |
(* 1/6 (* n1_i u)) |
(+ (* 1/6 (* n1_i u)) (* n0_i (+ (* -1/6 u) (* 1/2 u)))) |
(* 1/2 n0_i) |
(+ (* -1/6 (* n0_i u)) (* 1/6 (* n1_i u))) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(* 1/120 (* n1_i u)) |
(+ (* -1/120 (* n0_i u)) (* 1/120 (* n1_i u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(+ (* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) (* n1_i normAngle)) |
(+ n1_i (* n0_i (- (* 1/2 (pow normAngle 2)) 1))) |
(/ (* 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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/2 u) (+ (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (/ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) n0_i)))))) |
(* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(* n0_i (- (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i))))))) |
(* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
(* n0_i (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (- (+ (* -1 (/ (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (* 1/720 u)) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))) |
(* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))))) |
(* n0_i (+ (* -1/6 u) (* 1/2 u))) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/2 u)))) |
(* -1/6 (* n0_i u)) |
(* n0_i (+ (* -1/6 u) (* 1/6 (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* -1/120 (* n0_i u)) |
(* n0_i (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ 1 (* -1 u))) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ 1 u) 1)) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) |
(* n0_i (+ (* normAngle (- (* 1/2 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (- (* 1/2 (pow normAngle 2)) 1)) |
(* n0_i (- (+ (* 1/2 (pow normAngle 2)) (/ n1_i n0_i)) 1)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (- (+ u (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) 1))) |
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) 1))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) n0_i)) (+ (* -1/2 u) (+ (* 1/6 u) (* (pow normAngle 2) (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))))))) |
(* -1 (* n0_i (- (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) n0_i)) (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))))) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* 1/24 u) (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))))) |
(* -1 (* n0_i (+ (* 1/24 u) (+ (* (pow normAngle 2) (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u))))))) (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i))))) |
(* -1 (* n0_i (- (* -1/720 u) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (- (+ (* -1/720 u) (+ (* -1/5040 (/ (* n1_i u) n0_i)) (+ (* 1/720 (/ (* n1_i u) n0_i)) (* 1/6 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i))))) (+ (* -1/6 (- (* 1/24 u) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (+ (* -1/2 u) (* 1/6 u)))))))) |
(* -1 (* n0_i (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) n0_i)) (+ (* -1/6 (+ (* -1/2 u) (* 1/6 u))) (* 1/120 u))))) |
(* -1 (* n0_i (+ (* -1/2 u) (* 1/6 u)))) |
(* -1 (* n0_i (+ (* -1/2 u) (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u))))) |
(* -1 (* n0_i (+ (* -1/6 (/ (* n1_i u) n0_i)) (* 1/6 u)))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i u) n0_i)) (* 1/120 u)))) |
(* -1 (* n0_i (- u 1))) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (* normAngle (+ 1 (* -1/2 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))))) |
(* -1 (* n0_i (+ 1 (* -1/2 (pow normAngle 2))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ n1_i n0_i)) (* -1/2 (pow normAngle 2)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) |
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (+ (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(- (+ (* -1/24 (* n0_i u)) (+ (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) |
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) |
(- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(- (+ (* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(* n1_i (+ (* -1/840 u) (* 7/2160 u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (+ (* -1/120 (* n0_i u)) (* n1_i (+ (* -1/36 u) (* 1/120 u))))) |
(+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/6 (* n1_i u)) (* 1/2 (* n0_i u)))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(- (/ n0_i u) n0_i) |
(* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) |
(+ (* n1_i normAngle) (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i))) |
(- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) n1_i)))))) |
(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (+ (* 1/2 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (/ (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) n1_i)))))) |
(* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) |
(* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i))) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) |
(* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i)))) |
(* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) |
(* n1_i (- (* 1/720 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))))) |
(* n1_i (+ (* -1/36 u) (* 1/120 u))) |
(* n1_i (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (* 1/2 (/ (* n0_i u) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* n1_i (+ normAngle (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (/ n0_i n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))))) |
(* -1 (* n1_i (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i))) (+ (* -1/120 u) (* 1/36 u))))) |
(* n1_i (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(* -1 (* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) n1_i))))) |
(* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/36 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* -1/6 u)))) |
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/120 (/ (* n0_i u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 normAngle) (* -1 (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) n1_i)) 1))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 1/120 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))) |
(fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) |
(fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))) |
(+ (* 1/6 (* u (- n1_i n0_i))) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))) |
(- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i))))) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(* -1/24 (* n0_i u)) |
(*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))))))))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) |
(pow normAngle 2) |
(*.f32 normAngle normAngle) |
normAngle |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/24 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/720 binary32) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle) |
(* normAngle (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) normAngle) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) normAngle) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) |
(* n0_i (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1/6 (pow normAngle 2))) |
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) |
(/ u normAngle) |
(/.f32 u normAngle) |
(/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/6 binary32) u) normAngle) |
(/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 u #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle) |
(/ (+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle) |
(* (pow normAngle 6) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (-.f32 n1_i n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))))))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) u (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (-.f32 n1_i n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))))))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 6) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (+ (* 1/2 (/ (* n0_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* u (- n1_i n0_i)) (pow normAngle 6))))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 (/.f32 n0_i normAngle) (/.f32 u normAngle)) #s(literal -1/24 binary32) (+.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) u (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (-.f32 n1_i n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))))))) (pow.f32 normAngle #s(literal 6 binary32))) |
(* (pow normAngle 4) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (-.f32 n1_i n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)))))))) |
(* (pow normAngle 4) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/720 (* n0_i u)) (+ (* 1/6 (/ (* u (- n1_i n0_i)) (pow normAngle 4))) (* 1/2 (/ (* n0_i u) (pow normAngle 4)))))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) u (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (-.f32 n1_i n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/6 (/ (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u))) (pow normAngle 2))) (+ (* -1/5040 (* u (- n1_i n0_i))) (+ (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (/ (* u (- n1_i n0_i)) (pow normAngle 2))))))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (/.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (-.f32 n1_i n0_i) normAngle) (/.f32 u normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u))))))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/24 (/ (* n0_i u) (pow normAngle 2))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (+ (* 1/6 (* u (- n1_i n0_i))) (* 1/2 (* n0_i u)))))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/24 binary32) n0_i) normAngle) (/.f32 u normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32)))))) (*.f32 normAngle normAngle)) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(* 1/2 (* n0_i (pow normAngle 3))) |
(*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i) #s(literal 1/2 binary32)) |
(* (pow normAngle 3) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 3 binary32))) |
(* 1/2 (* n0_i (pow normAngle 2))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) |
(* (pow normAngle 2) (- (+ (* 1/2 n0_i) (/ n1_i (pow normAngle 2))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(* -1/6 (pow normAngle 3)) |
(*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) |
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* (pow normAngle 2) (- (/ 1 (pow normAngle 2)) 1/6)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle)) |
(/ u (sin normAngle)) |
(/.f32 u (sin.f32 normAngle)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) u) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i))) |
(* -1 (* (pow normAngle 3) (+ (* -1 (/ (- n1_i n0_i) (pow normAngle 2))) (* -1/2 n0_i)))) |
(*.f32 (neg.f32 (pow.f32 normAngle #s(literal 3 binary32))) (fma.f32 #s(literal -1/2 binary32) n0_i (/.f32 (-.f32 n1_i n0_i) (*.f32 (neg.f32 normAngle) normAngle)))) |
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2))))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (*.f32 normAngle normAngle)))) (pow.f32 normAngle #s(literal 3 binary32))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i) (cos.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i) u n0_i) |
(* u (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) u) |
(* u (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) u) |
(* u (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) u) |
(* u (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))))))) |
(*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) u) |
(* 31/15120 (* n1_i u)) |
(*.f32 #s(literal 31/15120 binary32) (*.f32 n1_i u)) |
(* 31/15120 u) |
(*.f32 #s(literal 31/15120 binary32) u) |
u |
(* 7/2160 u) |
(*.f32 #s(literal 7/2160 binary32) u) |
(* 7/360 u) |
(*.f32 #s(literal 7/360 binary32) u) |
(* n0_i u) |
(*.f32 n0_i u) |
(* u (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))) |
(*.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) u) |
(* u (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) u) |
(* 1/6 (* u (- n1_i n0_i))) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32)) |
(* u (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* 1/120 (* u (- n1_i n0_i))) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
(* n1_i u) |
(*.f32 n1_i u) |
(/ n0_i u) |
(/.f32 n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(/.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 (+.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i u)) u) |
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i) u) |
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))) (/ n0_i u))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (+.f32 (/.f32 n0_i u) n1_i)) n0_i) u) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(*.f32 (-.f32 (/.f32 (neg.f32 n0_i) u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))))) |
(*.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 (-.f32 n1_i n0_i))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))))))))) |
(*.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 (neg.f32 (-.f32 n1_i n0_i)) (/.f32 n0_i u))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/2 n0_i) (+ (* -1/6 (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))))))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)))) (neg.f32 u)) |
(* -1 (* u (- (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i)))))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) (neg.f32 u)) |
(* -1 (* u (+ (* 1/24 n0_i) (* (pow normAngle 2) (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/24 binary32) n0_i)) (neg.f32 u)) |
(* -1 (* u (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) (+ (* 1/5040 (- n1_i n0_i)) (* 1/120 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) |
(*.f32 (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal 1/5040 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal 1/120 binary32))))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/6 (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* -1/120 (- n1_i n0_i))))) |
(*.f32 (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) #s(literal -1/6 binary32))) (neg.f32 u)) |
(* -1 (* u (+ (* -1/2 n0_i) (* -1/6 (- n1_i n0_i))))) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (neg.f32 u)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(*.f32 (-.f32 (neg.f32 (-.f32 n1_i n0_i)) (/.f32 n0_i u)) (neg.f32 u)) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (-.f32 n0_i n1_i) (neg.f32 u)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1 binary32) (-.f32 n0_i n1_i)) (neg.f32 u)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+.f32 (/.f32 (fma.f32 (*.f32 normAngle u) n1_i (neg.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i))) (sin.f32 normAngle)) n0_i) |
(+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) u (*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/3 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) n0_i (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) u (*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) u (*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) (*.f32 normAngle normAngle))) |
(+ (* 1/6 (* n1_i u)) (+ (* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/3 binary32))) n0_i (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) u (*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) (*.f32 normAngle normAngle)))) |
(- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) |
(- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))) |
(fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) n0_i (*.f32 (*.f32 (neg.f32 u) n1_i) #s(literal -7/360 binary32)))) |
(* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) |
(*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))))) |
(fma.f32 (neg.f32 (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) n0_i)) |
(* -1 (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(neg.f32 (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) |
(- (* n0_i (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) |
(-.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) n0_i) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) |
(+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))) |
(*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) |
(+ (* -1/36 (* n1_i u)) (+ (* 1/120 (* n1_i u)) (* n0_i (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))) |
(fma.f32 (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u)) n0_i (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) |
(* 1/6 (* n1_i u)) |
(*.f32 (*.f32 n1_i u) #s(literal 1/6 binary32)) |
(+ (* 1/6 (* n1_i u)) (* n0_i (+ (* -1/6 u) (* 1/2 u)))) |
(fma.f32 (*.f32 u #s(literal 1/3 binary32)) n0_i (*.f32 (*.f32 n1_i u) #s(literal 1/6 binary32))) |
(* 1/2 n0_i) |
(*.f32 #s(literal 1/2 binary32) n0_i) |
(+ (* -1/6 (* n0_i u)) (* 1/6 (* n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 n0_i n1_i) u)) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
n1_i |
(* 1/120 (* n1_i u)) |
(*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32)) |
(+ (* -1/120 (* n0_i u)) (* 1/120 (* n1_i u))) |
(*.f32 #s(literal -1/120 binary32) (*.f32 (-.f32 n0_i n1_i) u)) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i (*.f32 n1_i u)) |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i n1_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(+ (* n0_i (* normAngle (- (* 1/2 (pow normAngle 2)) 1))) (* n1_i normAngle)) |
(fma.f32 (*.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) #s(literal 1 binary32)) normAngle) n0_i (*.f32 n1_i normAngle)) |
(+ n1_i (* n0_i (- (* 1/2 (pow normAngle 2)) 1))) |
(fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) #s(literal 1 binary32)) n0_i n1_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 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 (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(*.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (/.f32 (*.f32 (*.f32 normAngle u) n1_i) n0_i)) (sin.f32 normAngle)) #s(literal 1 binary32)) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))))))))) |
(*.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/3 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* n0_i (+ 1 (+ (* -1 u) (+ (* (pow normAngle 2) (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)))))) |
(*.f32 (+.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/3 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n1_i) u (*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) n0_i)) n0_i) |
(* n0_i (+ (* -1/6 u) (+ (* 1/2 u) (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u))))))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 1/3 binary32))) n0_i) |
(* n0_i (+ (* -1/6 u) (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/2 u) (+ (* (pow normAngle 2) (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (/ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) n0_i)))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal 1/6 binary32) (*.f32 u #s(literal 1/3 binary32))) (*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32))) n0_i) (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u)))))) n0_i) |
(* n0_i (- (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u)))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u)) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) n0_i) |
(* n0_i (- (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))))) n0_i)) (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (+ (* -1/36 (/ (* n1_i u) n0_i)) (+ (* -1/120 u) (* 1/120 (/ (* n1_i u) n0_i))))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (/.f32 (fma.f32 (*.f32 n1_i u) #s(literal 1/840 binary32) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) u) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) u) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) u))) (fma.f32 (*.f32 u #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 n1_i u) n0_i) #s(literal -7/360 binary32) (*.f32 #s(literal -1/120 binary32) u)))) n0_i) |
(* n0_i (+ (* -1/24 u) (* (pow normAngle 2) (- (* 1/720 u) (+ (* -1/6 (- (* -1/24 u) (+ (* -1/6 (+ (* -1/6 u) (* 1/2 u))) (* -1/120 u)))) (+ (* 1/5040 u) (* 1/120 (+ (* -1/6 u) (* 1/2 u))))))))) |
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(+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (+ (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) |
(fma.f32 (*.f32 n0_i u) #s(literal 1/3 binary32) (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i (*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) (*.f32 normAngle normAngle)))) |
(- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) |
(- (+ (* -1/24 (* n0_i u)) (+ (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) |
(-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) n1_i (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) |
(+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) |
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))))) |
(fma.f32 (neg.f32 n1_i) (*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)))) |
(- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) |
(- (+ (* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (* 1/720 (* n0_i u))) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) |
(-.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) |
(* n1_i (+ (* -1/840 u) (* 7/2160 u))) |
(*.f32 (*.f32 #s(literal 31/15120 binary32) u) n1_i) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) |
(fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u))) |
(+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (+ (* -1/120 (* n0_i u)) (* n1_i (+ (* -1/36 u) (* 1/120 u))))) |
(fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/120 binary32) (*.f32 n0_i u) (*.f32 (*.f32 u #s(literal -7/360 binary32)) n1_i))) |
(+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) |
(*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) |
(+ (* -1/6 (* n0_i u)) (+ (* 1/6 (* n1_i u)) (* 1/2 (* n0_i u)))) |
(fma.f32 (*.f32 n1_i u) #s(literal 1/6 binary32) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))) |
(+ n0_i (* -1 (* n0_i u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (- (/ n0_i u) n0_i)) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(- (/ n0_i u) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) normAngle) |
(+ (* n1_i normAngle) (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i))) |
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) normAngle) |
(- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) |
(-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) n1_i) |
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))))) |
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(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) (+ (/ n0_i n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))) n1_i)))))) |
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(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (+ (* 1/2 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (/ (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) n1_i)))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) n1_i) (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32)))))) n1_i) |
(* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) |
(*.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) n1_i) |
(* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i))) (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u)))))) |
(*.f32 (-.f32 (fma.f32 (neg.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) n1_i)) (fma.f32 (*.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal -1/120 binary32) (*.f32 u #s(literal -7/360 binary32))))) n1_i) |
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))) |
(*.f32 (neg.f32 n1_i) (*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))) |
(* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/24 (/ (* n0_i u) n1_i)) (/ (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))))))) n1_i)))) |
(*.f32 (fma.f32 (neg.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) n1_i)) n1_i) |
(* -1 (* n1_i (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) |
(*.f32 (neg.f32 n1_i) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) |
(* n1_i (- (* 1/720 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i)) (+ (* -1/5040 u) (+ (* 1/5040 (/ (* n0_i u) n1_i)) (+ (* 1/720 u) (+ (* 1/120 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* 1/6 (+ (* -1/36 u) (* 1/120 u)))))))))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/720 binary32)) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) n1_i) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/5040 binary32) u (fma.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/5040 binary32) (fma.f32 (*.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (fma.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32) (*.f32 #s(literal 1/720 binary32) u))))))) n1_i) |
(* n1_i (+ (* -1/36 u) (* 1/120 u))) |
(*.f32 (*.f32 u #s(literal -7/360 binary32)) n1_i) |
(* n1_i (+ (* -1/6 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (+ (* -1/36 u) (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))))) |
(*.f32 (fma.f32 (*.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (fma.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal -1/120 binary32) (*.f32 u #s(literal -7/360 binary32)))) n1_i) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (+ (* 1/6 u) (* 1/2 (/ (* n0_i u) n1_i))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i u) n1_i) #s(literal 1/3 binary32) (*.f32 #s(literal 1/6 binary32) u)) n1_i) |
(* n1_i (+ (* -1/6 (/ (* n0_i u) n1_i)) (* 1/6 u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u)) n1_i) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i u) n1_i)) n1_i) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)) n1_i) |
(* n1_i (+ (* -1/120 (/ (* n0_i u) n1_i)) (* 1/120 u))) |
(*.f32 (*.f32 #s(literal -1/120 binary32) (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u)) n1_i) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) n1_i) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(*.f32 (-.f32 (+.f32 (/.f32 (/.f32 n0_i n1_i) u) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) n1_i) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) |
(* n1_i (+ normAngle (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))) |
(*.f32 (fma.f32 normAngle (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) n1_i) normAngle) n1_i) |
(* n1_i (- (+ 1 (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (/ n0_i n1_i))) |
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) n1_i)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 normAngle normAngle) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))))))))) n1_i)) (* (pow normAngle 2) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))))) |
(*.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i))) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))))) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u)))))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) u (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32))) (neg.f32 n1_i)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (+ (* -1/120 u) (* 1/36 u))))) |
(*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u)))) n1_i))) (+ (* -1/120 u) (* 1/36 u))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) (/.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) n1_i)) (*.f32 #s(literal -7/360 binary32) u)) (neg.f32 n1_i)) |
(* n1_i (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) |
(*.f32 (*.f32 n1_i (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32)))) |
(* -1 (* n1_i (+ (* -1 (* (pow normAngle 2) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u))))))) (* -1 (/ (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) n1_i))) (neg.f32 n1_i)) |
(* n1_i (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))) |
(*.f32 (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) n1_i) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))))) (+ (* 1/5040 (* n0_i u)) (* 1/120 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))))))) n1_i)) (+ (* -1/720 u) (+ (* 1/5040 u) (* 1/6 (+ (* -1/120 u) (* 1/36 u)))))))) |
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal 1/5040 binary32) (*.f32 n0_i u))))) (neg.f32 n1_i)) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/36 u)))) |
(*.f32 (*.f32 #s(literal 7/360 binary32) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u)))) (* -1/120 (* n0_i u))) n1_i)) (+ (* -1/120 u) (* 1/36 u))))) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) u (/.f32 (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) (*.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/6 (* n0_i u)) (* 1/2 (* n0_i u))) n1_i)) (* -1/6 u)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/3 binary32)) (neg.f32 n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (* n0_i u) n1_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 u (/.f32 (*.f32 n0_i u) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 u n1_i) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1/120 u) (* 1/120 (/ (* n0_i u) n1_i))))) |
(*.f32 (*.f32 #s(literal -1/120 binary32) (-.f32 u (/.f32 (*.f32 n0_i u) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 u (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) (neg.f32 n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (* -1 (/ (* normAngle (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) n1_i) normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (* 1/2 (* n0_i (pow normAngle 2))) n0_i) n1_i)) 1))) |
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) n0_i) (neg.f32 n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1385 |
| 0 | 151 | 1357 |
| 1 | 584 | 1277 |
| 2 | 5047 | 1277 |
| 0 | 9140 | 1219 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) |
(-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) |
#s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) |
(*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i) |
(fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) |
u |
#s(literal -1/840 binary32) |
(*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) |
(*.f32 u #s(literal 7/360 binary32)) |
#s(literal 7/360 binary32) |
#s(literal 1/6 binary32) |
n1_i |
(*.f32 normAngle normAngle) |
normAngle |
(*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) |
#s(literal -1/24 binary32) |
(*.f32 n0_i u) |
n0_i |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) |
(*.f32 #s(literal 1/2 binary32) n0_i) |
#s(literal 1/2 binary32) |
(*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
#s(literal -1/6 binary32) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u)) |
(*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u) |
(+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) |
(/.f32 n0_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
(fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i) |
(/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) |
#s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
#s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i) |
(/.f32 u (sin.f32 normAngle)) |
(sin.f32 normAngle) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u)) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u)) n0_i)) |
(/.f32 (-.f32 (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)) #s(literal 2 binary32))) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)))) |
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(fma.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) normAngle) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u (+.f32 n0_i (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 normAngle (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 u (-.f32 n1_i n0_i) (+.f32 n0_i (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)))) |
(+.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) n0_i) (*.f32 (-.f32 n1_i n0_i) u)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)) #s(literal 3 binary32)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle))) (pow.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 3 binary32)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle))) (pow.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)) #s(literal 2 binary32))))) |
(+.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u)) n0_i) |
(+.f32 (*.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
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(-.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (fabs.f32 normAngle)) (fabs.f32 normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (neg.f32 normAngle)) (neg.f32 normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 u #s(literal 1/2 binary32)) n0_i (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) normAngle) normAngle (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/6 binary32) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (-.f32 n1_i n0_i) (*.f32 u #s(literal 1/6 binary32)) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i u) (fma.f32 (*.f32 #s(literal 1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) |
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(-.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))))) (/.f32 (pow.f32 (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))))) |
(-.f32 (/.f32 (pow.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (pow.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (pow.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) #s(literal 2 binary32))))) |
(-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))) |
(-.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (fma.f32 (*.f32 #s(literal 1/24 binary32) n0_i) u (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) |
(fma.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fabs.f32 normAngle)) (fabs.f32 normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(fma.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (neg.f32 normAngle)) (neg.f32 normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(fma.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) normAngle) normAngle (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
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(fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) |
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(/.f32 (fma.f32 (pow.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 6 binary32)) (pow.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)))) (pow.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) #s(literal 2 binary32)) (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u)))) (/.f32 (pow.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) #s(literal 2 binary32)) (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u))))) |
(-.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (*.f32 (neg.f32 (*.f32 #s(literal -1/24 binary32) n0_i)) u)) |
(-.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (*.f32 (neg.f32 (*.f32 n0_i u)) #s(literal -1/24 binary32))) |
(-.f32 (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u))) |
(-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (*.f32 (neg.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) normAngle)) normAngle)) |
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(-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (*.f32 (neg.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (*.f32 normAngle normAngle))) |
(fma.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (fabs.f32 normAngle)) (fabs.f32 normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (neg.f32 normAngle)) (neg.f32 normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) u) n0_i (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)))) |
(fma.f32 (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) normAngle) normAngle (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) u (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)))) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i))) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 (*.f32 n0_i u) #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
(fma.f32 #s(literal -1/24 binary32) (*.f32 n0_i u) (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)))) |
(fma.f32 n0_i (*.f32 u #s(literal -1/24 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)))) |
(fma.f32 normAngle (*.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) |
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(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i)) |
(/.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) |
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(-.f32 n1_i n0_i) |
#s(literal -1/6 binary32) |
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(*.f32 (*.f32 #s(literal 1/120 binary32) u) (-.f32 n1_i n0_i)) |
(*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)) |
(*.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal 1/120 binary32) u)) |
(*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) u)) |
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(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (*.f32 #s(literal 1/120 binary32) u)) (+.f32 n1_i n0_i)) |
(/.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (*.f32 #s(literal 1/120 binary32) u)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) |
#s(literal 1/120 binary32) |
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(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(fma.f32 u (-.f32 n1_i n0_i) n0_i) |
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(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i) |
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 u n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
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(/.f32 (*.f32 u (+.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) |
(fma.f32 (/.f32 n0_i u) u (*.f32 (-.f32 n1_i n0_i) u)) |
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 (/.f32 n0_i u) u)) |
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 u (/.f32 n0_i u))) |
(fma.f32 u (/.f32 n0_i u) (*.f32 (-.f32 n1_i n0_i) u)) |
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(fma.f32 u (-.f32 n1_i n0_i) (*.f32 u (/.f32 n0_i u))) |
(+.f32 (*.f32 (/.f32 n0_i u) u) (*.f32 (-.f32 n1_i n0_i) u)) |
(+.f32 (*.f32 u (/.f32 n0_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
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(/.f32 (fma.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) n0_i)) (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) u)) |
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(/.f32 (+.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32))) (fma.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)))) |
(-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) |
(-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) |
(+.f32 (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (fma.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (fma.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))))) |
(+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) |
(+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) |
(/.f32 (neg.f32 n0_i) (neg.f32 u)) |
(/.f32 n0_i (neg.f32 (neg.f32 u))) |
(/.f32 n0_i u) |
(neg.f32 (/.f32 (neg.f32 n0_i) u)) |
(neg.f32 (/.f32 n0_i (neg.f32 u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle))) u n0_i)) |
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(-.f32 (-.f32 n1_i n0_i) (*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) n0_i)) #s(literal 1/2 binary32))) |
(-.f32 (-.f32 n1_i n0_i) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (*.f32 #s(literal 1/2 binary32) n0_i))) |
(-.f32 (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) |
(-.f32 n1_i (-.f32 n0_i (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) n0_i (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) n0_i (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) normAngle) (*.f32 n0_i normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i) (-.f32 n1_i n0_i)) |
(fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (-.f32 n1_i n0_i)) |
(fma.f32 n0_i (*.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)) |
(fma.f32 normAngle (*.f32 (*.f32 n0_i normAngle) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)) |
(fma.f32 normAngle (*.f32 normAngle (*.f32 #s(literal 1/2 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) #s(literal 3 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(literal 2 binary32)) (*.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)))))) (/.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 4 binary32)) (pow.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(literal 2 binary32)) (*.f32 (-.f32 n1_i n0_i) (-.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32))))))) |
(+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32)) (-.f32 n1_i n0_i)) |
(+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32))) |
(*.f32 (*.f32 n0_i (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 n0_i (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 n0_i normAngle) normAngle) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) n0_i)) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
(*.f32 n0_i (*.f32 normAngle normAngle)) |
(*.f32 normAngle (*.f32 n0_i normAngle)) |
#s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle)) |
(*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle) |
(*.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1 binary32)) normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) |
(/.f32 (*.f32 (fma.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) normAngle) (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) |
(/.f32 (*.f32 normAngle (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1 binary32))) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) |
(/.f32 (*.f32 normAngle (fma.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle (*.f32 #s(literal 1 binary32) normAngle)) |
(fma.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) |
(+.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) (*.f32 #s(literal 1 binary32) normAngle)) |
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) |
(+.f32 (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) normAngle) |
(+.f32 normAngle (*.f32 normAngle (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1 binary32))) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))))) |
(/.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) #s(literal -1 binary32)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) |
(/.f32 (fma.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) |
(/.f32 (fma.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal -1/216 binary32) #s(literal 1 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) |
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))) |
(-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal -1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 #s(literal -1/6 binary32) normAngle)) normAngle)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) #s(literal -1/6 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fabs.f32 normAngle)) (fabs.f32 normAngle) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 normAngle)) (neg.f32 normAngle) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle #s(literal 1 binary32)) |
(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) |
(fma.f32 normAngle (*.f32 #s(literal -1/6 binary32) normAngle) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(+.f32 (/.f32 (*.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal -1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))))) |
(+.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) n0_i)) |
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) n0_i))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)))) (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) n0_i)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32)) (*.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (*.f32 (/.f32 u (sin.f32 normAngle)) n0_i))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)))) (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) n0_i)) (/.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) n0_i))) |
(-.f32 n0_i (*.f32 (neg.f32 (/.f32 u (sin.f32 normAngle))) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)))) |
(-.f32 n0_i (*.f32 (neg.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) (/.f32 u (sin.f32 normAngle)))) |
(fma.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) n0_i) |
(fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)))) (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)))) (pow.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle))) n0_i) |
(+.f32 n0_i (*.f32 (/.f32 u (sin.f32 normAngle)) #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)))) |
(/.f32 (neg.f32 (neg.f32 u)) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 u) (sin.f32 (neg.f32 normAngle))) |
(/.f32 u (sin.f32 normAngle)) |
(neg.f32 (/.f32 (neg.f32 u) (sin.f32 normAngle))) |
(neg.f32 (/.f32 u (sin.f32 (neg.f32 normAngle)))) |
(*.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal -1 binary32)) |
(pow.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(sin.f32 normAngle) |
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) |
Compiled 178 758 to 6 957 computations (96.1% saved)
26 alts after pruning (23 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 271 | 14 | 1 285 |
| Fresh | 4 | 9 | 13 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 280 | 26 | 1 306 |
| Status | Accuracy | Program |
|---|---|---|
| 88.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| 57.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| 87.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (-.f32 n1_i n0_i) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| 87.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 #s(approx (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32)) n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| 73.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 n1_i normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ✓ | 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 99.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) | |
| 87.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u #s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle))) n0_i)) | |
| 88.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (/ u (sin normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 u #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle)) n0_i)) | |
| 76.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) | |
| 95.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) #s(approx (sin (* (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) | |
| 80.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) | |
| ✓ | 36.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
| 36.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))) n1_i)) | |
| 36.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))) n1_i)) | |
| 99.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (neg.f32 n1_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) | |
| 7.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (/ n0_i u) (- n1_i n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u))) | |
| 60.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| ✓ | 37.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
| 60.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (/ n0_i u) (- n1_i n0_i)) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
Compiled 5 181 to 1 399 computations (73% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (/ n0_i u) (- n1_i n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (/ n0_i u) (- n1_i n0_i)) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 n1_i normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (-.f32 n1_i n0_i) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u #s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle))) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 #s(approx (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32)) n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (/ u (sin normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 u #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle)) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (neg.f32 n1_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (fma.f32 u #s(literal -1/840 binary32) (*.f32 (*.f32 u #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/24 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) normAngle)) (sin.f32 normAngle)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (neg.f32 n0_i) u)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) u n0_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) #s(approx (sin (* (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
5 calls:
| 18.0ms | normAngle |
| 17.0ms | n0_i |
| 15.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 13.0ms | u |
| 13.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (/ n0_i u) (- n1_i n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (/ n0_i u) (- n1_i n0_i)) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 n1_i normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (-.f32 n1_i n0_i) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u #s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle))) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 #s(approx (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32)) n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (/ u (sin normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 u #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle)) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (neg.f32 n1_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
5 calls:
| 13.0ms | n0_i |
| 10.0ms | normAngle |
| 8.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 8.0ms | u |
| 8.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (/ n0_i u) (- n1_i n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (/ n0_i u) (- n1_i n0_i)) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 n1_i normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (-.f32 n1_i n0_i) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u #s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle))) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 #s(approx (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32)) n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (/ u (sin normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 u #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle)) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 #s(literal -1/840 binary32) u (*.f32 (*.f32 #s(literal 7/360 binary32) u) #s(literal 1/6 binary32))) (*.f32 #s(literal -7/360 binary32) u)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) u)) (neg.f32 n1_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
5 calls:
| 10.0ms | n1_i |
| 8.0ms | u |
| 8.0ms | n0_i |
| 7.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 7.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (/ n0_i u) (- n1_i n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (/ n0_i u) (- n1_i n0_i)) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 n1_i normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (-.f32 n1_i n0_i) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) (/.f32 u #s(approx (sin normAngle) (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal 1 binary32)) normAngle))) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 #s(approx (+ (* (* (* normAngle normAngle) n0_i) 1/2) (- n1_i n0_i)) (*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/2 binary32) (/.f32 n1_i n0_i)) #s(literal 1 binary32)) n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (-.f32 n1_i n0_i)) normAngle)) #s(approx (/ u (sin normAngle)) (/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 u #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) normAngle)) n0_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
5 calls:
| 12.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 8.0ms | u |
| 8.0ms | n1_i |
| 7.0ms | n0_i |
| 7.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.1% | 1 | normAngle |
| 99.1% | 1 | u |
| 99.1% | 1 | n0_i |
| 99.1% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (/ n0_i u) (- n1_i n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (/ n0_i u) (- n1_i n0_i)) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) n1_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
5 calls:
| 6.0ms | u |
| 4.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 4.0ms | normAngle |
| 4.0ms | n1_i |
| 4.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.5% | 1 | normAngle |
| 98.5% | 1 | u |
| 98.5% | 1 | n0_i |
| 98.5% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
5 calls:
| 4.0ms | n0_i |
| 2.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 2.0ms | n1_i |
| 2.0ms | normAngle |
| 2.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.3% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 60.3% | 1 | normAngle |
| 60.3% | 1 | u |
| 73.0% | 3 | n0_i |
| 75.0% | 3 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
Total -9.3b remaining (-46.2%)
Threshold costs -9.3b (-46.2%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
5 calls:
| 3.0ms | normAngle |
| 1.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 1.0ms | n0_i |
| 1.0ms | u |
| 1.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.0% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 37.0% | 1 | normAngle |
| 37.0% | 1 | u |
| 37.0% | 1 | n0_i |
| 37.0% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.770102920454103e-14 | 1.4765868649319058e-13 |
| 0.0ms | -2.6200350279636554e-14 | -2.2458016417131917e-14 |
Compiled 28 to 24 computations (14.3% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 683 |
| 1 | 261 | 634 |
| 2 | 687 | 599 |
| 3 | 2483 | 583 |
| 4 | 7890 | 583 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
(if (<=.f32 n1_i #s(literal -14757395/590295810358705651712 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) (if (<=.f32 n1_i #s(literal 14757395/147573952589676412928 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (*.f32 (*.f32 u #s(literal 31/15120 binary32)) n1_i)) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) u) n0_i) (fma.f32 #s(approx (+ (* (- (+ (* (- (* 1/720 (* n0_i u)) (+ (* (- (* -1/24 (* n0_i u)) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) -1/6) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) 1/120) (* (* (- n1_i n0_i) u) -1/5040)))) (* normAngle normAngle)) (* -1/24 (* n0_i u))) (+ (* (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u))) -1/6) (* (* (- n1_i n0_i) u) 1/120))) (* normAngle normAngle)) (+ (* (* 1/2 n0_i) u) (* 1/6 (* (- n1_i n0_i) u)))) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 u #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (neg n0_i) (* (cos normAngle) normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
(if (<=.f32 n1_i #s(literal -14757395/590295810358705651712 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) (if (<=.f32 n1_i #s(literal 14757395/147573952589676412928 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))))) |
(if (or (<=.f32 n1_i #s(literal -14757395/590295810358705651712 binary32)) (not (<=.f32 n1_i #s(literal 14757395/147573952589676412928 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 n1_i u)))) |
| 1× | fuel |
Compiled 688 to 137 computations (80.1% saved)
(abs normAngle)
Compiled 1 756 to 464 computations (73.6% saved)
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