
Time bar (total: 18.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 2.0s | 8 256× | 0 | valid |
| 1.1s | 2 014× | 0 | invalid |
ival-mult: 1.2s (44.4% of total)ival-sin: 438.0ms (16.1% of total)ival-<=: 266.0ms (9.8% of total)const: 234.0ms (8.6% of total)ival-div: 200.0ms (7.4% of total)ival-add: 185.0ms (6.8% of total)ival-sub: 65.0ms (2.4% of total)ival-and: 52.0ms (1.9% of total)ival-pi: 45.0ms (1.7% of total)exact: 23.0ms (0.8% of total)adjust: 4.0ms (0.1% of total)ival-assert: 4.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 21 | 0 | - | 17 | (4.12885000838747e-36 7.664075596380826e-9 9.813993096962332e-21 -4.698370124488378e-14) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 1 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 2 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 3 | 6 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 3 | 0 | 6 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 2 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 9.8s | 500× | 0 | valid |
| 3.0ms | 12× | 1 | valid |
Compiled 231 to 55 computations (76.2% saved)
ival-mult: 9.7s (99.6% of total)ival-sin: 32.0ms (0.3% of total)ival-div: 4.0ms (0% of total)ival-sub: 3.0ms (0% of total)ival-add: 2.0ms (0% of total)adjust: 1.0ms (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: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 284 | 302 |
| 2 | 842 | 268 |
| 3 | 2688 | 256 |
| 4 | 4855 | 252 |
| 5 | 7086 | 252 |
| 1× | node limit |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 25 to 17 computations (32% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.16796875 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.5192376526092293 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.5358729346447137 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 27.0ms | 250× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 8.0ms (43.8% of total)ival-sin: 5.0ms (27.4% of total)ival-div: 2.0ms (10.9% of total)ival-add: 1.0ms (5.5% of total)ival-sub: 1.0ms (5.5% 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)| Inputs |
|---|
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
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)))) |
(- 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) |
(* 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)))))) |
(* normAngle (- 1 u)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
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)))))))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | u | @ | 0 | ((* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 3.0ms | normAngle | @ | 0 | ((* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 2.0ms | normAngle | @ | inf | ((* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 2.0ms | u | @ | inf | ((* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 2.0ms | normAngle | @ | -inf | ((* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 221 | 903 |
| 1× | iter limit |
| Inputs |
|---|
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)))) |
(- 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) |
(* 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)))))) |
(* normAngle (- 1 u)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
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)))))))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
| Outputs |
|---|
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))) (fma.f32 #s(literal -1/5040 binary32) u (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 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 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 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 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #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)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (sin.f32 normAngle)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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)))))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))) |
(* -1 (* normAngle u)) |
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u))))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 38 |
| 0 | 24 | 38 |
| 1 | 56 | 32 |
| 2 | 208 | 32 |
| 3 | 1237 | 32 |
| 0 | 9264 | 32 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) |
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle u (PI.f32))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (neg.f32 (fma.f32 normAngle u (PI.f32))))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 normAngle u (PI.f32)))) (sin.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))) |
(neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))) |
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32)))) (sin.f32 normAngle)) |
(/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(neg.f32 (/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))) (sin.f32 normAngle))) |
(neg.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))) |
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 1 binary32)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))) n0_i)) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -1 binary32))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (neg.f32 n0_i))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (sin.f32 normAngle)) |
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))) n0_i) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (neg.f32 n0_i)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) |
(neg.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))) |
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(*.f32 (/.f32 (fma.f32 u u #s(literal 1 binary32)) (/.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u u)))) (/.f32 normAngle (-.f32 #s(literal -1 binary32) u))) |
(*.f32 (/.f32 (fma.f32 u u #s(literal 1 binary32)) (/.f32 (fma.f32 u u #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) (/.f32 normAngle (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u))) |
(*.f32 (/.f32 (fma.f32 u u #s(literal 1 binary32)) (/.f32 (fma.f32 u u #s(literal 1 binary32)) (fma.f32 u u #s(literal 1 binary32)))) (/.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (/.f32 (fma.f32 u u #s(literal 1 binary32)) (/.f32 (fma.f32 u u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (/.f32 normAngle (-.f32 (fma.f32 u u #s(literal 1 binary32)) u))) |
(*.f32 (/.f32 normAngle (/.f32 (fma.f32 u u #s(literal 1 binary32)) (+.f32 #s(literal -1 binary32) (*.f32 u u)))) (-.f32 #s(literal -1 binary32) u)) |
(*.f32 (/.f32 normAngle (/.f32 (fma.f32 u u #s(literal 1 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) (/.f32 (fma.f32 u u #s(literal 1 binary32)) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u))) |
(*.f32 (/.f32 normAngle (/.f32 (fma.f32 u u #s(literal 1 binary32)) (fma.f32 u u #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (/.f32 normAngle (/.f32 (fma.f32 u u #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (/.f32 (fma.f32 u u #s(literal 1 binary32)) (-.f32 (fma.f32 u u #s(literal 1 binary32)) u))) |
(*.f32 (/.f32 normAngle (-.f32 #s(literal 1 binary32) u)) (/.f32 (fma.f32 u u #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal 1 binary32)) normAngle) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (-.f32 (fma.f32 u u #s(literal 1 binary32)) u)) |
(*.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal 1 binary32)) normAngle) (fma.f32 u u #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (-.f32 #s(literal 1 binary32) (fma.f32 u u (pow.f32 u #s(literal 4 binary32))))) (-.f32 (fma.f32 u u #s(literal 1 binary32)) u)) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u u u) #s(literal 3 binary32)))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (-.f32 (fma.f32 u u #s(literal 1 binary32)) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 normAngle #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (fma.f32 u u #s(literal 1 binary32)) (/.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle)) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) normAngle)) (neg.f32 (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u))) |
(/.f32 (neg.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u)))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) (neg.f32 (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 u u #s(literal 1 binary32)) normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle))) (neg.f32 (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) normAngle) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u)) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u)) |
(/.f32 (neg.f32 (*.f32 (fma.f32 u u #s(literal 1 binary32)) normAngle)) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (-.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) u)) |
(/.f32 (*.f32 (fma.f32 u u #s(literal 1 binary32)) normAngle) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (-.f32 (fma.f32 u u #s(literal 1 binary32)) u)) |
(+.f32 (/.f32 (*.f32 #s(literal 1 binary32) normAngle) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 (*.f32 (neg.f32 u) u) normAngle) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (/.f32 (*.f32 normAngle #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 normAngle (*.f32 (neg.f32 u) u)) (-.f32 #s(literal 1 binary32) u))) |
Compiled 4 494 to 745 computations (83.4% saved)
16 alts after pruning (15 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 111 | 15 | 126 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 111 | 16 | 127 |
| Status | Accuracy | Program |
|---|---|---|
| 82.0% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 81.5% | (+.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ▶ | 97.6% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| ▶ | 97.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 97.0% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| ✓ | 97.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 96.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) n1_i)) | |
| 98.0% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) | |
| ▶ | 98.7% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
| 98.7% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) | |
| 98.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) | |
| 97.5% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 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)) | |
| 97.3% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 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)) | |
| 96.9% | (+.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)) | |
| ▶ | 82.2% | (+.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)) |
| ▶ | 93.0% | (+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 1 109 to 773 computations (30.3% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.3125 | (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u)) | |
| accuracy | 0.5192376526092293 | (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.5358729346447137 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.07421875 | (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) | |
| accuracy | 0.3939233975486539 | #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) | |
| accuracy | 1.5358729346447137 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 11.978889985586317 | (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) | |
| accuracy | 0.0546875 | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| accuracy | 0.15625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.26009750976844204 | (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| accuracy | 1.5358729346447137 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.0546875 | (+.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)) | |
| accuracy | 0.16796875 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) | |
| accuracy | 1.5358729346447137 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 8.676265727526042 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) | |
| accuracy | 0.34839234552340004 | (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) | |
| accuracy | 0.5192376526092293 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.5493711234650447 | (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) | |
| accuracy | 3.425683339232986 | (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) |
| 1.2s | 250× | 0 | valid |
| 5.0ms | 6× | 1 | valid |
Compiled 784 to 64 computations (91.8% saved)
ival-sub: 1.1s (92.6% of total)ival-mult: 35.0ms (3% of total)ival-div: 12.0ms (1% of total)const: 9.0ms (0.8% of total)ival-pow: 8.0ms (0.7% of total)ival-add: 8.0ms (0.7% of total)ival-sin: 8.0ms (0.7% of total)ival-cos: 2.0ms (0.2% of total)ival-pow2: 2.0ms (0.2% of total)adjust: 1.0ms (0.1% of total)exact: 1.0ms (0.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) |
(/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_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)) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) |
#s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) |
(*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) |
(*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u)) |
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| Outputs |
|---|
(pow normAngle 2) |
(* (pow normAngle 2) (+ 1 (* 1/6 (pow normAngle 2)))) |
(* (pow normAngle 2) (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* (pow normAngle 2) (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(pow normAngle 4) |
(* (pow normAngle 4) (+ 1 (* 1/6 (pow normAngle 2)))) |
(* (pow normAngle 4) (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* (pow normAngle 4) (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(- 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) |
(* (pow normAngle 6) (pow u 2)) |
(* (pow normAngle 6) (+ (* 1/6 (* (pow normAngle 2) (pow u 2))) (pow u 2))) |
(* (pow normAngle 6) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* -1/6 (pow u 2)))) (pow u 2))) |
(* (pow normAngle 6) (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (pow u 2)) (+ (* 1/720 (pow u 2)) (* 1/6 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))))))) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* -1/6 (pow u 2)))) (pow u 2))) |
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)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 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))))))) |
(* normAngle (- 1 u)) |
(* n0_i u) |
(+ (* n0_i u) (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u))))) (+ (* -1/5040 (* n0_i u)) (* 1/120 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))))))) (+ (* -1/6 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(* n0_i (* normAngle u)) |
(* normAngle (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i u))) |
(* normAngle (+ (* n0_i u) (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/24 (* n0_i (* (pow normAngle 2) u))))))) |
(* normAngle (+ (* n0_i u) (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/720 (* n0_i (* (pow normAngle 2) u))) (* 1/24 (* n0_i u)))))))) |
(* -1 (/ (- (pow u 2) 1) (+ 1 u))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u))))))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* 1/5040 (/ (pow (- (pow u 2) 1) 7) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u)))))) (+ (* 1/5040 (/ (- (pow u 2) 1) (+ 1 u))) (* 1/120 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))))))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u))))))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))) |
(* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* 1/5040 (/ (* n0_i (pow (- (pow u 2) 1) 7)) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) (+ (* 1/5040 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* 1/120 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))))))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(/ (pow normAngle 3) (sin normAngle)) |
(/ (pow normAngle 5) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) |
(* n0_i (* normAngle (* u (cos normAngle)))) |
(/ (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (* 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)))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ n0_i (* 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)))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) |
(/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* 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 (+ (/ (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 | |
|---|---|---|---|---|
| 18.0ms | n0_i | @ | 0 | ((/ (pow normAngle 3) (sin normAngle)) (/ (pow normAngle 5) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (- 1 u) normAngle) (+ (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* n0_i (* normAngle (* u (cos normAngle)))) (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (- -1 u)) (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) n0_i)) |
| 15.0ms | normAngle | @ | -inf | ((/ (pow normAngle 3) (sin normAngle)) (/ (pow normAngle 5) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (- 1 u) normAngle) (+ (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* n0_i (* normAngle (* u (cos normAngle)))) (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (- -1 u)) (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) n0_i)) |
| 12.0ms | u | @ | 0 | ((/ (pow normAngle 3) (sin normAngle)) (/ (pow normAngle 5) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (- 1 u) normAngle) (+ (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* n0_i (* normAngle (* u (cos normAngle)))) (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (- -1 u)) (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) n0_i)) |
| 12.0ms | normAngle | @ | 0 | ((/ (pow normAngle 3) (sin normAngle)) (/ (pow normAngle 5) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (- 1 u) normAngle) (+ (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* n0_i (* normAngle (* u (cos normAngle)))) (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (- -1 u)) (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) n0_i)) |
| 8.0ms | normAngle | @ | inf | ((/ (pow normAngle 3) (sin normAngle)) (/ (pow normAngle 5) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (- 1 u) normAngle) (+ (* (/ n0_i (sin normAngle)) (sin (* (- 1 u) normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* n0_i (* normAngle (* u (cos normAngle)))) (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (- -1 u)) (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (- -1 u))) (/ 1 (sin normAngle))) n0_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 520 | 2957 |
| 1× | iter limit |
| Inputs |
|---|
(pow normAngle 2) |
(* (pow normAngle 2) (+ 1 (* 1/6 (pow normAngle 2)))) |
(* (pow normAngle 2) (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* (pow normAngle 2) (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(pow normAngle 4) |
(* (pow normAngle 4) (+ 1 (* 1/6 (pow normAngle 2)))) |
(* (pow normAngle 4) (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* (pow normAngle 4) (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(- 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) |
(* (pow normAngle 6) (pow u 2)) |
(* (pow normAngle 6) (+ (* 1/6 (* (pow normAngle 2) (pow u 2))) (pow u 2))) |
(* (pow normAngle 6) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* -1/6 (pow u 2)))) (pow u 2))) |
(* (pow normAngle 6) (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (pow u 2)) (+ (* 1/720 (pow u 2)) (* 1/6 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))))))) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* -1/6 (pow u 2)))) (pow u 2))) |
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)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 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))))))) |
(* normAngle (- 1 u)) |
(* n0_i u) |
(+ (* n0_i u) (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u))))) (+ (* -1/5040 (* n0_i u)) (* 1/120 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))))))) (+ (* -1/6 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(* n0_i (* normAngle u)) |
(* normAngle (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i u))) |
(* normAngle (+ (* n0_i u) (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/24 (* n0_i (* (pow normAngle 2) u))))))) |
(* normAngle (+ (* n0_i u) (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/720 (* n0_i (* (pow normAngle 2) u))) (* 1/24 (* n0_i u)))))))) |
(* -1 (/ (- (pow u 2) 1) (+ 1 u))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u))))))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* 1/5040 (/ (pow (- (pow u 2) 1) 7) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u)))))) (+ (* 1/5040 (/ (- (pow u 2) 1) (+ 1 u))) (* 1/120 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))))))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u))))))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))) |
(* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* 1/5040 (/ (* n0_i (pow (- (pow u 2) 1) 7)) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) (+ (* 1/5040 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* 1/120 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))))))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(/ (pow normAngle 3) (sin normAngle)) |
(/ (pow normAngle 5) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) |
(* n0_i (* normAngle (* u (cos normAngle)))) |
(/ (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (* 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)))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ n0_i (* 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)))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) |
(/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* 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 (+ (/ (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 |
|---|
(pow normAngle 2) |
(pow.f32 normAngle #s(literal 2 binary32)) |
(* (pow normAngle 2) (+ 1 (* 1/6 (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) |
(* (pow normAngle 2) (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))) |
(* (pow normAngle 2) (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 #s(literal 31/15120 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))))) |
(pow normAngle 4) |
(pow.f32 normAngle #s(literal 4 binary32)) |
(* (pow normAngle 4) (+ 1 (* 1/6 (pow normAngle 2)))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 2 binary32))))) |
(* (pow normAngle 4) (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))) |
(* (pow normAngle 4) (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (+.f32 #s(literal 7/360 binary32) (*.f32 #s(literal 31/15120 binary32) (pow.f32 normAngle #s(literal 2 binary32))))))))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 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 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #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)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u) |
(* (pow normAngle 6) (pow u 2)) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (pow.f32 u #s(literal 2 binary32))) |
(* (pow normAngle 6) (+ (* 1/6 (* (pow normAngle 2) (pow u 2))) (pow u 2))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (pow.f32 u #s(literal 2 binary32))) (pow.f32 u #s(literal 2 binary32)))) |
(* (pow normAngle 6) (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* -1/6 (pow u 2)))) (pow u 2))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/36 binary32) (pow.f32 u #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 2 binary32)))) (pow.f32 u #s(literal 2 binary32)))) |
(* (pow normAngle 6) (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (pow u 2)) (+ (* 1/720 (pow u 2)) (* 1/6 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))))))) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* -1/6 (pow u 2)))) (pow u 2))) |
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal 1/720 binary32) (pow.f32 u #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/36 binary32) (pow.f32 u #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 2 binary32))))))))) (fma.f32 #s(literal -1/36 binary32) (pow.f32 u #s(literal 2 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 2 binary32)))) (pow.f32 u #s(literal 2 binary32)))) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))) (fma.f32 #s(literal -1/5040 binary32) u (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u)))) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.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 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.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 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u) (fma.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* n0_i u) |
(*.f32 n0_i u) |
(+ (* n0_i u) (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))) |
(fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u))))) (+ (* -1/5040 (* n0_i u)) (* 1/120 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))))))) (+ (* -1/6 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))) |
(* n0_i (* normAngle u)) |
(*.f32 n0_i (*.f32 normAngle u)) |
(* normAngle (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i u))) |
(*.f32 normAngle (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)) (*.f32 n0_i u))) |
(* normAngle (+ (* n0_i u) (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* 1/24 (* n0_i (* (pow normAngle 2) u))))))) |
(*.f32 normAngle (fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u))))))) |
(* normAngle (+ (* n0_i u) (* (pow normAngle 2) (+ (* -1/2 (* n0_i u)) (* (pow normAngle 2) (+ (* -1/720 (* n0_i (* (pow normAngle 2) u))) (* 1/24 (* n0_i u)))))))) |
(*.f32 normAngle (fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)) (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u)))))))) |
(* -1 (/ (- (pow u 2) 1) (+ 1 u))) |
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u))))))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/120 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))) |
(+ (* -1 (/ (- (pow u 2) 1) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* 1/5040 (/ (pow (- (pow u 2) 1) 7) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* -1/120 (/ (pow (- (pow u 2) 1) 5) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u)))))) (+ (* 1/5040 (/ (- (pow u 2) 1) (+ 1 u))) (* 1/120 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))))))) (+ (* -1/6 (- (* 1/6 (/ (pow (- (pow u 2) 1) 3) (pow (+ 1 u) 3))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u))))) (* -1/120 (/ (- (pow u 2) 1) (+ 1 u))))))) (* 1/6 (/ (- (pow u 2) 1) (+ 1 u)))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/120 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/5040 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 7 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/120 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 5 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal 1/5040 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal 1/6 binary32) (/.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) u)))))) |
(* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))) |
(* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 5 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))))) |
(+ (* -1 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* (pow normAngle 2) (- (+ (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (+ (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (* (pow normAngle 2) (- (* 1/5040 (/ (* n0_i (pow (- (pow u 2) 1) 7)) (pow (+ 1 u) 7))) (+ (* -1/6 (- (* -1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (+ 1 u) 5))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) (+ (* 1/5040 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))) (* 1/120 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))))))) (+ (* -1/6 (- (* 1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (+ 1 u) 3))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))) (* -1/120 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u))))))) (* 1/6 (/ (* n0_i (- (pow u 2) 1)) (+ 1 u)))))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 5 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/5040 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 7 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 5 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal 1/5040 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32)) #s(literal 3 binary32))) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/120 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))))) |
(/ (pow normAngle 3) (sin normAngle)) |
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) |
(/ (pow normAngle 5) (sin normAngle)) |
(/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (* (pow normAngle 7) (pow u 2)) (sin normAngle)) |
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
(/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(* n0_i (* normAngle (* u (cos normAngle)))) |
(*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) |
(/ (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))))) |
(/ (* normAngle u) (sin normAngle)) |
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (sin.f32 normAngle)))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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)))))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle)))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+.f32 normAngle (*.f32 #s(literal -1 binary32) (*.f32 normAngle u))) |
(* -1 (* normAngle u)) |
(*.f32 #s(literal -1 binary32) (*.f32 normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 normAngle u))))) |
(/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) |
(/.f32 (sin.f32 (/.f32 (*.f32 normAngle (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 #s(literal -1 binary32) u) #s(literal 1 binary32)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (/.f32 (*.f32 normAngle (-.f32 (pow.f32 u #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (*.f32 #s(literal -1 binary32) u) #s(literal 1 binary32))))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle))))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 231 |
| 0 | 94 | 230 |
| 1 | 275 | 209 |
| 2 | 1507 | 206 |
| 0 | 8308 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) |
(/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_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)) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) |
#s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) |
(*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) |
(*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u)) |
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| Outputs |
|---|
(*.f32 (pow.f32 normAngle #s(literal 3/2 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3/2 binary32)) (sin.f32 normAngle))) |
(*.f32 (*.f32 normAngle normAngle) (/.f32 normAngle (sin.f32 normAngle))) |
(*.f32 normAngle (/.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle))) |
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (neg.f32 (sin.f32 (neg.f32 (neg.f32 normAngle))))) |
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) |
(+.f32 (/.f32 (cosh.f32 (*.f32 (log.f32 normAngle) #s(literal 3 binary32))) (sin.f32 normAngle)) (/.f32 (sinh.f32 (*.f32 (log.f32 normAngle) #s(literal 3 binary32))) (sin.f32 normAngle))) |
(+.f32 (/.f32 (cosh.f32 (*.f32 (log.f32 normAngle) #s(literal 3 binary32))) (sin.f32 (neg.f32 normAngle))) (/.f32 (sinh.f32 (*.f32 (log.f32 normAngle) #s(literal 3 binary32))) (sin.f32 (neg.f32 normAngle)))) |
(neg.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) |
(*.f32 (pow.f32 normAngle #s(literal 5/2 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5/2 binary32)) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))))) (neg.f32 (sin.f32 (neg.f32 (neg.f32 normAngle))))) |
(/.f32 (neg.f32 (neg.f32 (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) |
(+.f32 (/.f32 (cosh.f32 (*.f32 (log.f32 normAngle) #s(literal 5 binary32))) (sin.f32 normAngle)) (/.f32 (sinh.f32 (*.f32 (log.f32 normAngle) #s(literal 5 binary32))) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (neg.f32 (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 (neg.f32 normAngle)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal -1 binary32))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle (PI.f32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(*.f32 (*.f32 u (/.f32 u (sin.f32 normAngle))) (pow.f32 normAngle #s(literal 7 binary32))) |
(*.f32 (pow.f32 normAngle #s(literal 7/2 binary32)) (*.f32 (pow.f32 normAngle #s(literal 7/2 binary32)) (*.f32 u (/.f32 u (sin.f32 normAngle))))) |
(*.f32 (*.f32 u u) (/.f32 (pow.f32 normAngle #s(literal 7 binary32)) (sin.f32 normAngle))) |
(*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (*.f32 u (/.f32 u (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 u) u) (pow.f32 normAngle #s(literal 7 binary32))))) (neg.f32 (sin.f32 (neg.f32 (neg.f32 normAngle))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 u) u) (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (*.f32 (*.f32 (neg.f32 u) u) (pow.f32 normAngle #s(literal 7 binary32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) u) u) (sin.f32 normAngle)) |
(neg.f32 (/.f32 (*.f32 (*.f32 (neg.f32 u) u) (pow.f32 normAngle #s(literal 7 binary32))) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) u) u) (sin.f32 (neg.f32 normAngle)))) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 u normAngle)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (sin.f32 (fma.f32 u normAngle (PI.f32)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 u normAngle))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 u normAngle (PI.f32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))) (*.f32 (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))) (+.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i) (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i))) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)))))) (-.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (fma.f32 u normAngle (PI.f32))) (sin.f32 normAngle))) n1_i) (*.f32 (neg.f32 (/.f32 (sin.f32 (fma.f32 u normAngle (PI.f32))) (sin.f32 normAngle))) n1_i))) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 (neg.f32 (/.f32 (sin.f32 (fma.f32 u normAngle (PI.f32))) (sin.f32 normAngle))) n1_i))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (fma.f32 u normAngle (PI.f32))) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 (sin.f32 (fma.f32 u normAngle (PI.f32))) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))))) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (fma.f32 (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (*.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i) (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (neg.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) n0_i))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))))) |
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(/.f32 (*.f32 (neg.f32 normAngle) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -1 binary32) (*.f32 u u)))) |
(/.f32 (*.f32 (neg.f32 normAngle) (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 (*.f32 (neg.f32 normAngle) (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (*.f32 normAngle (-.f32 (pow.f32 u #s(literal 4 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 (*.f32 u u) #s(literal -1 binary32)))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 6 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) u) (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u) u)))))) |
(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))))) (*.f32 (-.f32 #s(literal -1 binary32) u) (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u u))))) |
(/.f32 (*.f32 normAngle (neg.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) u) (neg.f32 (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 4 binary32)) #s(literal 1 binary32)) (neg.f32 normAngle)) (*.f32 (-.f32 (*.f32 u u) #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 4 binary32)) #s(literal 1 binary32)) normAngle) (*.f32 (-.f32 (*.f32 u u) #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 6 binary32))) (neg.f32 normAngle)) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u) u)))) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 6 binary32))) normAngle) (*.f32 (+.f32 #s(literal 1 binary32) (+.f32 (pow.f32 u #s(literal 4 binary32)) (*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 u) u)))) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) (neg.f32 normAngle)) (*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) normAngle) (*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (*.f32 u u))) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32))) (neg.f32 normAngle)) (*.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32))) normAngle) (*.f32 (neg.f32 (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) (neg.f32 normAngle)) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 u u)) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32)) (neg.f32 normAngle)) (*.f32 (+.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32)) (neg.f32 normAngle)) (*.f32 (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) (/.f32 normAngle (-.f32 #s(literal -1 binary32) u))) (-.f32 #s(literal -1 binary32) (*.f32 u u))) |
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32)) (/.f32 normAngle (-.f32 #s(literal -1 binary32) u))) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32)))) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal -1 binary32) (*.f32 u u)))) |
(/.f32 (*.f32 normAngle (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal -1 binary32) u) (+.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 (*.f32 normAngle (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32))) (*.f32 (-.f32 #s(literal -1 binary32) u) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (fma.f32 u u #s(literal -1 binary32)))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) normAngle) (*.f32 (-.f32 #s(literal -1 binary32) (*.f32 u u)) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32)) normAngle) (*.f32 (+.f32 (pow.f32 u #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal -1 binary32)) normAngle) (*.f32 (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (*.f32 (neg.f32 normAngle) (fma.f32 u u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal -1 binary32) u)) |
(+.f32 (/.f32 (*.f32 (*.f32 u u) normAngle) (-.f32 #s(literal -1 binary32) u)) (/.f32 (*.f32 #s(literal -1 binary32) normAngle) (-.f32 #s(literal -1 binary32) u))) |
(+.f32 (/.f32 (*.f32 #s(literal -1 binary32) normAngle) (-.f32 #s(literal -1 binary32) u)) (/.f32 (*.f32 (*.f32 u u) normAngle) (-.f32 #s(literal -1 binary32) u))) |
(+.f32 (/.f32 (*.f32 normAngle (*.f32 u u)) (-.f32 #s(literal -1 binary32) u)) (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u))) |
(+.f32 (/.f32 (*.f32 normAngle #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u)) (/.f32 (*.f32 normAngle (*.f32 u u)) (-.f32 #s(literal -1 binary32) u))) |
(neg.f32 (/.f32 (*.f32 (neg.f32 normAngle) (fma.f32 u u #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32))))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))) (sin.f32 normAngle)) n0_i) |
(*.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))) n0_i)) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))) n0_i)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32)))) n0_i) (sin.f32 normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (/.f32 normAngle (-.f32 #s(literal -1 binary32) u)) (fma.f32 u u #s(literal -1 binary32))))) (sin.f32 normAngle)) |
Compiled 27 279 to 2 364 computations (91.3% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 448 | 14 | 462 |
| Fresh | 9 | 1 | 10 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 0 | 1 |
| Total | 463 | 15 | 478 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) | |
| ▶ | 82.5% | (fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
| 82.1% | (fma.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) | |
| 74.7% | (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) | |
| 97.2% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) n1_i)) | |
| 98.5% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) | |
| 97.4% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 96.9% | (+.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)) | |
| 81.9% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) n1_i)) | |
| 83.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) | |
| ▶ | 97.1% | (+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| ▶ | 98.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) |
| ▶ | 97.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
| 31.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) | |
| ▶ | 88.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
Compiled 1 074 to 736 computations (31.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) | |
| accuracy | 0.36077027294824604 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) | |
| accuracy | 9.626067023223381 | (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) | |
| accuracy | 11.128073565336551 | (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) | |
| accuracy | 0.0546875 | (+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| accuracy | 0.3939233975486539 | #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) | |
| accuracy | 1.2176892293847064 | #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u)) | |
| accuracy | 1.5358729346447137 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.0546875 | (fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) | |
| accuracy | 0.16796875 | (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) | |
| accuracy | 1.3641873748943476 | (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) | |
| accuracy | 8.676265727526042 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.1171875 | (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) | |
| accuracy | 0.7349835320708058 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) | |
| accuracy | 0.359375 | (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)) | |
| accuracy | 0.36166000976844204 | (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) | |
| accuracy | 0.5873414062950724 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 8.218626180613061 | (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) |
| 117.0ms | 248× | 0 | valid |
| 7.0ms | 8× | 1 | valid |
Compiled 614 to 62 computations (89.9% saved)
ival-mult: 56.0ms (56.3% of total)ival-add: 10.0ms (10% of total)ival-div: 7.0ms (7% of total)ival-sin: 6.0ms (6% of total)ival-sub: 5.0ms (5% of total)ival-pow: 5.0ms (5% of total)const: 4.0ms (4% of total)ival-cos: 2.0ms (2% of total)ival-pow2: 2.0ms (2% of total)adjust: 1.0ms (1% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) |
(*.f32 #s(literal -1/6 binary32) (*.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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(-.f32 #s(literal 1 binary32) u) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
#s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u)) |
#s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i 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))))))) |
(- 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) |
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)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* n0_i u) |
(+ (* n0_i u) (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u))))) (+ (* -1/5040 (* n0_i u)) (* 1/120 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))))))) (+ (* -1/6 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
n0_i |
(+ n0_i (* (pow normAngle 2) (- (* -1/2 n0_i) (* -1/6 n0_i)))) |
(+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (* -1/6 n0_i)))) |
(+ 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 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (* -1/6 n0_i)))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) |
(/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))) |
(* u (- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* u (- (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* u (- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
1 |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* -1/6 n0_i) |
(+ (* -1/6 n0_i) (* 1/2 (* n0_i u))) |
(+ (* -1/6 n0_i) (* u (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)))) |
(+ (* -1/6 n0_i) (* u (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))))) |
(* -1/6 (* n1_i u)) |
(+ 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)))) |
(* n1_i u) |
(+ 1 (* -1 u)) |
(+ 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)))))))) |
(/ (* 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)))) |
(+ 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)))))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 (/ n0_i (pow u 2)))))) |
(* -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))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* -1/6 (/ n0_i (pow u 3))) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 (/ n0_i u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 n0_i) (+ (* -1/6 n0_i) (* 1/6 n1_i))) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -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 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/2 (/ n0_i u))) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ n0_i u))) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) |
(- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) (* -1/6 (* n1_i u))) |
(* -1/6 (* n1_i (pow u 3))) |
(+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (+ (* -1/6 (- 1 u)) (* -1/6 (/ (* n1_i u) n0_i))))) |
(* -1/6 (* n0_i (pow (- 1 u) 3))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (- (* 1/6 (pow (- 1 u) 3)) (* 1/6 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) n0_i)) (* 1/6 (pow (- 1 u) 3))) (* 1/6 (- 1 u))))) |
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (pow u 3)) n0_i)) (* 1/6 (pow (- 1 u) 3))))) |
(* -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 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) |
(- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (- (* -1/6 (pow u 3)) (* -1/6 u)))) (* -1/6 (* n0_i (- 1 u)))) |
(* n1_i (- (* -1/6 (pow u 3)) (* -1/6 u))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (+ (* -1/6 u) (* -1/6 (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle)))) |
(* -1 (* n1_i (- (* 1/6 (pow u 3)) (* 1/6 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) n1_i)) (* 1/6 (pow u 3))) (* 1/6 u)))) |
(* -1 (* n1_i (+ (* 1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* 1/6 (pow u 3))))) |
(* -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 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | u | @ | inf | ((- (+ (* -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)))) (pow (- 1 u) 3) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* n0_i (- 1 u)) (* n1_i u)) (* n1_i u) (- 1 u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (sin (* u normAngle)) (sin normAngle)) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))) (+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
| 18.0ms | n1_i | @ | 0 | ((- (+ (* -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)))) (pow (- 1 u) 3) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* n0_i (- 1 u)) (* n1_i u)) (* n1_i u) (- 1 u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (sin (* u normAngle)) (sin normAngle)) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))) (+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
| 6.0ms | n0_i | @ | 0 | ((- (+ (* -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)))) (pow (- 1 u) 3) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* n0_i (- 1 u)) (* n1_i u)) (* n1_i u) (- 1 u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (sin (* u normAngle)) (sin normAngle)) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))) (+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
| 6.0ms | u | @ | -inf | ((- (+ (* -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)))) (pow (- 1 u) 3) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* n0_i (- 1 u)) (* n1_i u)) (* n1_i u) (- 1 u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (sin (* u normAngle)) (sin normAngle)) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))) (+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
| 5.0ms | u | @ | 0 | ((- (+ (* -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)))) (pow (- 1 u) 3) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* n0_i (- 1 u)) (* n1_i u)) (* n1_i u) (- 1 u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/ (sin (* u normAngle)) (sin normAngle)) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))) (+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* n0_i (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 661 | 3281 |
| 1× | iter 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 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) |
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)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* n0_i u) |
(+ (* n0_i u) (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u))))) (+ (* -1/5040 (* n0_i u)) (* 1/120 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))))))) (+ (* -1/6 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
n0_i |
(+ n0_i (* (pow normAngle 2) (- (* -1/2 n0_i) (* -1/6 n0_i)))) |
(+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (* -1/6 n0_i)))) |
(+ 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 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (* -1/6 n0_i)))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) |
(/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))) |
(* u (- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* u (- (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* u (- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
1 |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* -1/6 n0_i) |
(+ (* -1/6 n0_i) (* 1/2 (* n0_i u))) |
(+ (* -1/6 n0_i) (* u (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)))) |
(+ (* -1/6 n0_i) (* u (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))))) |
(* -1/6 (* n1_i u)) |
(+ 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)))) |
(* n1_i u) |
(+ 1 (* -1 u)) |
(+ 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)))))))) |
(/ (* 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)))) |
(+ 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)))))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 (/ n0_i (pow u 2)))))) |
(* -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))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* -1/6 (/ n0_i (pow u 3))) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 (/ n0_i u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 n0_i) (+ (* -1/6 n0_i) (* 1/6 n1_i))) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -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 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/2 (/ n0_i u))) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ n0_i u))) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) |
(- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) (* -1/6 (* n1_i u))) |
(* -1/6 (* n1_i (pow u 3))) |
(+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (+ (* -1/6 (- 1 u)) (* -1/6 (/ (* n1_i u) n0_i))))) |
(* -1/6 (* n0_i (pow (- 1 u) 3))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (- (* 1/6 (pow (- 1 u) 3)) (* 1/6 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) n0_i)) (* 1/6 (pow (- 1 u) 3))) (* 1/6 (- 1 u))))) |
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (pow u 3)) n0_i)) (* 1/6 (pow (- 1 u) 3))))) |
(* -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 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) |
(- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (- (* -1/6 (pow u 3)) (* -1/6 u)))) (* -1/6 (* n0_i (- 1 u)))) |
(* n1_i (- (* -1/6 (pow u 3)) (* -1/6 u))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (+ (* -1/6 u) (* -1/6 (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle)))) |
(* -1 (* n1_i (- (* 1/6 (pow u 3)) (* 1/6 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) n1_i)) (* 1/6 (pow u 3))) (* 1/6 u)))) |
(* -1 (* n1_i (+ (* 1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* 1/6 (pow u 3))))) |
(* -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 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.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 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.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 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u) (fma.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i 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 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 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 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #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)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))) (fma.f32 #s(literal -1/5040 binary32) u (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)) (*.f32 #s(literal 1/120 binary32) u))))) (*.f32 #s(literal -1/6 binary32) u)))) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(* n0_i u) |
(*.f32 n0_i u) |
(+ (* n0_i u) (* (pow normAngle 2) (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))) |
(fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))) |
(+ (* n0_i u) (* (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 (* n0_i u)))) (* 1/120 (* n0_i u))))) (+ (* -1/5040 (* n0_i u)) (* 1/120 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u))))))))) (+ (* -1/6 (- (* -1/2 (* n0_i u)) (* -1/6 (* n0_i u)))) (* 1/120 (* n0_i u)))))) (* -1/6 (* n0_i u))))) |
(fma.f32 n0_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i u)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i u))))) |
n0_i |
(+ n0_i (* (pow normAngle 2) (- (* -1/2 n0_i) (* -1/6 n0_i)))) |
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)))) |
(+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* (pow normAngle 2) (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (* -1/6 n0_i)))) |
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i)))) |
(+ 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 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i)))))))) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i))))) (* -1/6 n0_i)))) |
(+.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/24 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 #s(literal -1/5040 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i))))) (*.f32 #s(literal -1/6 binary32) n0_i)))) |
n1_i |
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) |
(+.f32 n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 2 binary32))))) |
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) |
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) |
(+.f32 n1_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) n1_i (fma.f32 #s(literal 1/720 binary32) n1_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i))))))) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i)))) (*.f32 #s(literal -1/6 binary32) n1_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) |
(fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i)))) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i)))))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))) |
(fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i)))) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 #s(literal -1/5040 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))))) (fma.f32 #s(literal -1/5040 binary32) n1_i (fma.f32 #s(literal 1/720 binary32) n1_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i))))))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle 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 u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) |
(/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))) |
(* u (- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 u (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))) |
(* u (- (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/2 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))) |
(* u (- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -3 u)) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -3 binary32) u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 u (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -1 binary32) u))) #s(literal 3 binary32)))) |
(* -1/6 n0_i) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(+ (* -1/6 n0_i) (* 1/2 (* n0_i u))) |
(fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i u))) |
(+ (* -1/6 n0_i) (* u (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)))) |
(fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/2 binary32) n0_i)))) |
(+ (* -1/6 n0_i) (* u (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))))) |
(fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 u (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))))) |
(* -1/6 (* n1_i u)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle)))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
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(* n1_i u) |
(*.f32 n1_i u) |
(+ 1 (* -1 u)) |
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(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
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(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))))))) |
(/ (* normAngle u) (sin normAngle)) |
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
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(*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (sin.f32 normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) 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)))))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (*.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i u) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))) |
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 (/ n0_i (pow u 2)))))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i u) (fma.f32 #s(literal -1/6 binary32) n1_i (fma.f32 #s(literal 1/6 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (pow.f32 u #s(literal 2 binary32))))))) (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (pow.f32 u #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 n0_i (pow.f32 u #s(literal 2 binary32))))))) |
(* -1 (pow u 3)) |
(*.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (-.f32 (*.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (pow.f32 u #s(literal 2 binary32)))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) (pow.f32 u #s(literal 2 binary32)))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2))))))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i u) (fma.f32 #s(literal -1/6 binary32) n1_i (fma.f32 #s(literal 1/6 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (pow.f32 u #s(literal 2 binary32)))))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* -1/6 (/ n0_i (pow u 3))) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i u) (fma.f32 #s(literal -1/6 binary32) n1_i (fma.f32 #s(literal -1/6 binary32) (/.f32 n0_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 #s(literal 1/6 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (pow.f32 u #s(literal 2 binary32))))))))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)))) |
(* -1 u) |
(*.f32 #s(literal -1 binary32) u) |
(* u (- (/ 1 u) 1)) |
(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 (/ n0_i u)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1/6 binary32) n0_i (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/2 n0_i) (+ (* -1/6 n0_i) (* 1/6 n1_i))) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))) u) (*.f32 #s(literal -1/2 binary32) n0_i)) u) (fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (*.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u)) u))) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/2 (/ n0_i u))) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i u))) u) (fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ n0_i u))) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (/.f32 n0_i u))) u) (*.f32 #s(literal -1/2 binary32) n0_i)) u) (fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (fma.f32 #s(literal -1 binary32) n1_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) |
(- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) |
(- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) (* -1/6 (* n1_i u))) |
(-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) |
(* -1/6 (* n1_i (pow u 3))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) |
(+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))) |
(* n0_i (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) |
(*.f32 n0_i (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3))) (+ (* -1/6 (- 1 u)) (* -1/6 (/ (* n1_i u) n0_i))))) |
(*.f32 n0_i (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i) (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) |
(* -1/6 (* n0_i (pow (- 1 u) 3))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
(* n0_i (+ (* -1/6 (/ (* n1_i (pow u 3)) n0_i)) (* -1/6 (pow (- 1 u) 3)))) |
(*.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i) (*.f32 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)) |
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) |
(* -1 (* n0_i (- (* 1/6 (pow (- 1 u) 3)) (* 1/6 (- 1 u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) n0_i)) (* 1/6 (pow (- 1 u) 3))) (* 1/6 (- 1 u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) n0_i) (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))))) |
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (pow u 3)) n0_i)) (* 1/6 (pow (- 1 u) 3))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) n0_i) (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (- (* -1/6 (pow u 3)) (* -1/6 u)))) (* -1/6 (* n0_i (- 1 u)))) |
(-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* n1_i (- (* -1/6 (pow u 3)) (* -1/6 u))) |
(*.f32 n1_i (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))) |
(* n1_i (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (+ (* -1/6 u) (* -1/6 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 n1_i (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n1_i) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32)))) (fma.f32 #s(literal -1/6 binary32) u (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
(* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) |
(*.f32 n1_i (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n1_i) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) |
(* -1 (* n1_i (- (* 1/6 (pow u 3)) (* 1/6 u)))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal 1/6 binary32) u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) n1_i)) (* 1/6 (pow u 3))) (* 1/6 u)))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) n1_i) (*.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal 1/6 binary32) u)))) |
(* -1 (* n1_i (+ (* 1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* 1/6 (pow u 3))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n1_i) (*.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 3 binary32)))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 345 |
| 0 | 106 | 337 |
| 1 | 373 | 307 |
| 2 | 2849 | 307 |
| 0 | 9246 | 299 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) |
(*.f32 #s(literal -1/6 binary32) (*.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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(-.f32 #s(literal 1 binary32) u) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) |
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
#s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u)) |
#s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
| Outputs |
|---|
(*.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 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) |
(/.f32 (-.f32 (pow.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (fma.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))))) |
(/.f32 (-.f32 (pow.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)) #s(literal 3 binary32))) (+.f32 (pow.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.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)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)))))) |
(/.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (*.f32 #s(literal -1/216 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (*.f32 n0_i #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 6 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (pow.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 2 binary32)) #s(literal 1/36 binary32)) (*.f32 (pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) #s(literal 2 binary32)) #s(literal 1/36 binary32)))) (neg.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 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 (pow.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 3 binary32)) #s(literal -1/216 binary32)) (*.f32 (pow.f32 (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) #s(literal 3 binary32)) #s(literal -1/216 binary32)))) (neg.f32 (fma.f32 (pow.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 2 binary32)) #s(literal 1/36 binary32) (*.f32 (*.f32 (fma.f32 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) #s(literal -1/6 binary32)) (*.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 n1_i u (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))))))) |
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(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)) (-.f32 (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.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 #s(literal -1/216 binary32) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32)) #s(literal 3 binary32))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.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 #s(literal 1/36 binary32) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)) (-.f32 (*.f32 (*.f32 n1_i u) #s(literal -1/6 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32))))))) |
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(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (sin.f32 (*.f32 normAngle u)) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(+.f32 (/.f32 (pow.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i)))) #s(literal 3 binary32)) (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) (pow.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) (pow.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i)))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i))))) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (-.f32 n0_i #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 u n0_i)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(*.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) |
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 n0_i (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)) |
(neg.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) |
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 normAngle) n1_i)) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (*.f32 (neg.f32 normAngle) n1_i) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) |
(neg.f32 (/.f32 (*.f32 (neg.f32 normAngle) n1_i) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 (neg.f32 normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) |
(*.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u) |
(*.f32 u (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) n1_i) u) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) n1_i) u) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 (neg.f32 normAngle) n1_i)) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 (neg.f32 normAngle) n1_i)) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 normAngle n1_i)) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 (neg.f32 normAngle) n1_i) u))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle n1_i) u))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 (neg.f32 normAngle) n1_i)))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 normAngle n1_i)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 (neg.f32 normAngle) n1_i) u))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 normAngle n1_i) u))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 (neg.f32 normAngle) n1_i)))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 u (*.f32 normAngle n1_i)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) u) (/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (*.f32 (+.f32 (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32))) u) (fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(/.f32 (*.f32 u (/.f32 (-.f32 (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (*.f32 u (+.f32 (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) u) (*.f32 (*.f32 normAngle n1_i) u)) (sin.f32 normAngle))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))))) |
(-.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) (*.f32 (neg.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u)) |
(-.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) (*.f32 (neg.f32 u) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i))) |
(fma.f32 (*.f32 u #s(literal -1 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (*.f32 u (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) #s(literal -1 binary32) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) u (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u)) |
(fma.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(literal -1 binary32) u) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) u) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u)) |
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u)) |
(fma.f32 u (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u)) |
(+.f32 (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u)) |
(+.f32 (*.f32 (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u) (*.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))) |
Compiled 31 208 to 2 923 computations (90.6% saved)
24 alts after pruning (23 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 442 | 18 | 460 |
| Fresh | 5 | 5 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 451 | 24 | 475 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) | |
| 97.2% | (fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) | |
| 81.9% | (fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) | |
| 83.8% | (fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) | |
| 74.7% | (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) | |
| 97.4% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 96.9% | (+.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)) | |
| ▶ | 88.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) |
| ▶ | 97.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
| 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) (*.f32 n1_i u))) | |
| ▶ | 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u))) |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 #s(approx (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 #s(approx (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) | |
| ▶ | 98.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
| 98.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/2 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) 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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) | |
| ✓ | 97.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
| 31.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) | |
| ▶ | 98.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))))) |
| 72.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))) | |
| 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))) | |
| 56.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))))) | |
| 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)))))) | |
| 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
Compiled 2 358 to 1 466 computations (37.8% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i) | |
| accuracy | 0.0625 | (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) | |
| accuracy | 0.28459963090692686 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) | |
| accuracy | 5.84108089191841 | (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) | |
| accuracy | 0.30078125 | (*.f32 #s(literal -1/6 binary32) n1_i) | |
| accuracy | 0.30859375 | (*.f32 #s(literal -1/6 binary32) n0_i) | |
| accuracy | 0.5669712997577273 | #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))) | |
| accuracy | 0.6484375 | (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) | |
| accuracy | 0.1015625 | (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u)) | |
| accuracy | 0.31640625 | (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32))) | |
| accuracy | 0.3828125 | (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) | |
| accuracy | 0.6534456260700203 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.046875 | (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) | |
| accuracy | 0.1484375 | (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) | |
| accuracy | 0.6534456260700203 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) | |
| accuracy | 0.22722626953688405 | (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)) | |
| accuracy | 0.2864689529348666 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) | |
| accuracy | 0.30859375 | (*.f32 #s(literal 1/6 binary32) n0_i) | |
| accuracy | 0.324888879305074 | (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
| 136.0ms | 242× | 0 | valid |
| 33.0ms | 12× | 5 | exit |
| 2.0ms | 2× | 1 | valid |
Compiled 716 to 92 computations (87.2% saved)
ival-mult: 59.0ms (41.4% of total)ival-add: 21.0ms (14.7% of total)adjust: 17.0ms (11.9% of total)ival-div: 10.0ms (7% of total)ival-sub: 8.0ms (5.6% of total)ival-pow: 8.0ms (5.6% of total)const: 7.0ms (4.9% of total)ival-sin: 6.0ms (4.2% of total)ival-cos: 2.0ms (1.4% of total)ival-pow2: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% of total)exact: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
(*.f32 #s(literal 1/6 binary32) n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
(fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) 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)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u))) |
(/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32))) |
(fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u)) |
(-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) |
#s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_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))))))) |
(* u (+ n1_i (* -1 n0_i))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))) |
(+ 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)))))))))) |
(+ 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 (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos 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)))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* 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 (/ (* 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))))) |
(- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(- (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 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 (* -1 (* n0_i u))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* u (- u 1))) |
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1))) |
(pow u 2) |
(* (pow u 2) (+ 1 (* -1 u))) |
(* (pow u 2) (+ 1 (* u (- u 1)))) |
(* (pow u 2) (+ 1 (* u (- (* u (+ 1 (* -1 u))) 1)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* (pow u 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* (pow u 2) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 2) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 (/ n0_i (pow u 2)))))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(/ 1 u) |
(/ (- 1 (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) u) |
u |
(* u (- 1 (/ 1 u))) |
(* u (- (+ 1 (/ 1 (pow u 2))) (/ 1 u))) |
(* u (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) u)) (* 1/2 n0_i)) u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (/ (- (/ 1 u) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u)) |
(* -1 (* u (- (/ 1 u) 1))) |
(* -1 (* u (- (* -1 (/ (- (/ 1 u) 1) u)) 1))) |
(* -1 (* u (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1))) |
(/ (* 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)))))) |
(- (* -1/6 (* n1_i (pow u 2))) (* -1/6 n1_i)) |
(- (+ (* -1/6 (* n1_i (pow u 2))) (* n0_i (+ 1/3 (* u (- (* 1/6 u) 1/2))))) (* -1/6 n1_i)) |
(* 1/6 n0_i) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1/6 n1_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(* n0_i (- 1 u)) |
(* n1_i u) |
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u)) |
(* -1/3 n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* -1/6 n0_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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(* n0_i (- (+ 1/3 (+ (* -1/6 (/ (* n1_i (pow u 2)) n0_i)) (* u (- (* 1/6 u) 1/2)))) (* -1/6 (/ n1_i n0_i)))) |
(/ (* 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 (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) |
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u)))) |
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) |
(* n0_i (+ (* -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))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* 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 (- (* u (+ 1/2 (* -1/6 u))) 1/3))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1/6 (* n1_i (pow u 2))) (* -1/6 n1_i)) n0_i)) (* u (+ 1/2 (* -1/6 u)))) 1/3))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos 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))) |
(- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) (* 1/6 n0_i)) |
(- (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) (* 1/6 n0_i)) |
(+ 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)))) |
(* n1_i (+ 1/6 (* -1/6 (pow u 2)))) |
(* n1_i (- (+ 1/6 (+ (* -1/6 (pow u 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))) n1_i)))) (* 1/6 (/ n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* 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)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* -1 (* n1_i (- (* 1/6 (pow u 2)) 1/6))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) (* 1/6 n0_i)) n1_i)) (* 1/6 (pow u 2))) 1/6))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | n0_i | @ | -inf | ((- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (* 1/6 n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- 1 u) n0_i) (+ (* u n1_i) (* (- 1 u) n0_i)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (+ u 1)) (/ (* u u) (+ u 1)) (+ (* n0_i (- (/ 1 (+ u 1)) (/ (* u u) (+ u 1)))) (* n1_i u)) (- (* -1/2 n0_i) (* -1/6 n0_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1/6 n0_i) (* -1/6 n1_i) (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (+ (* (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) u) n0_i)) |
| 12.0ms | u | @ | inf | ((- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (* 1/6 n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- 1 u) n0_i) (+ (* u n1_i) (* (- 1 u) n0_i)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (+ u 1)) (/ (* u u) (+ u 1)) (+ (* n0_i (- (/ 1 (+ u 1)) (/ (* u u) (+ u 1)))) (* n1_i u)) (- (* -1/2 n0_i) (* -1/6 n0_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1/6 n0_i) (* -1/6 n1_i) (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (+ (* (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) u) n0_i)) |
| 5.0ms | n0_i | @ | inf | ((- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (* 1/6 n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- 1 u) n0_i) (+ (* u n1_i) (* (- 1 u) n0_i)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (+ u 1)) (/ (* u u) (+ u 1)) (+ (* n0_i (- (/ 1 (+ u 1)) (/ (* u u) (+ u 1)))) (* n1_i u)) (- (* -1/2 n0_i) (* -1/6 n0_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1/6 n0_i) (* -1/6 n1_i) (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (+ (* (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) u) n0_i)) |
| 5.0ms | n0_i | @ | 0 | ((- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (* 1/6 n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- 1 u) n0_i) (+ (* u n1_i) (* (- 1 u) n0_i)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (+ u 1)) (/ (* u u) (+ u 1)) (+ (* n0_i (- (/ 1 (+ u 1)) (/ (* u u) (+ u 1)))) (* n1_i u)) (- (* -1/2 n0_i) (* -1/6 n0_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1/6 n0_i) (* -1/6 n1_i) (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (+ (* (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) u) n0_i)) |
| 5.0ms | u | @ | -inf | ((- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (* 1/6 n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- 1 u) n0_i) (+ (* u n1_i) (* (- 1 u) n0_i)) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (+ u 1)) (/ (* u u) (+ u 1)) (+ (* n0_i (- (/ 1 (+ u 1)) (/ (* u u) (+ u 1)))) (* n1_i u)) (- (* -1/2 n0_i) (* -1/6 n0_i)) (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1/6 n0_i) (* -1/6 n1_i) (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (+ (* (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) u) n0_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 3074 |
| 1× | iter 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))))))) |
(* u (+ n1_i (* -1 n0_i))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))) |
(+ 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)))))))))) |
(+ 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 (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos 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)))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* 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 (/ (* 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))))) |
(- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(- (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 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 (* -1 (* n0_i u))) |
1 |
(+ 1 (* -1 u)) |
(+ 1 (* u (- u 1))) |
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1))) |
(pow u 2) |
(* (pow u 2) (+ 1 (* -1 u))) |
(* (pow u 2) (+ 1 (* u (- u 1)))) |
(* (pow u 2) (+ 1 (* u (- (* u (+ 1 (* -1 u))) 1)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* (pow u 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(* (pow u 2) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(* (pow u 2) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 (/ n0_i (pow u 2)))))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(/ 1 u) |
(/ (- 1 (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) u) |
u |
(* u (- 1 (/ 1 u))) |
(* u (- (+ 1 (/ 1 (pow u 2))) (/ 1 u))) |
(* u (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) u)) (* 1/2 n0_i)) u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (/ (- (/ 1 u) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u)) |
(* -1 (* u (- (/ 1 u) 1))) |
(* -1 (* u (- (* -1 (/ (- (/ 1 u) 1) u)) 1))) |
(* -1 (* u (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1))) |
(/ (* 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)))))) |
(- (* -1/6 (* n1_i (pow u 2))) (* -1/6 n1_i)) |
(- (+ (* -1/6 (* n1_i (pow u 2))) (* n0_i (+ 1/3 (* u (- (* 1/6 u) 1/2))))) (* -1/6 n1_i)) |
(* 1/6 n0_i) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1/6 n1_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(* n0_i (- 1 u)) |
(* n1_i u) |
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u)) |
(* -1/3 n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* -1/6 n0_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 (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* n0_i (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(* n0_i (- (+ 1/3 (+ (* -1/6 (/ (* n1_i (pow u 2)) n0_i)) (* u (- (* 1/6 u) 1/2)))) (* -1/6 (/ n1_i n0_i)))) |
(/ (* 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 (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) |
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u)))) |
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) |
(* n0_i (+ (* -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))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* 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 (- (* u (+ 1/2 (* -1/6 u))) 1/3))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1/6 (* n1_i (pow u 2))) (* -1/6 n1_i)) n0_i)) (* u (+ 1/2 (* -1/6 u)))) 1/3))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos 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))) |
(- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) (* 1/6 n0_i)) |
(- (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) (* 1/6 n0_i)) |
(+ 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)))) |
(* n1_i (+ 1/6 (* -1/6 (pow u 2)))) |
(* n1_i (- (+ 1/6 (+ (* -1/6 (pow u 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))) n1_i)))) (* 1/6 (/ n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* 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)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* -1 (* n1_i (- (* 1/6 (pow u 2)) 1/6))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) (* 1/6 n0_i)) n1_i)) (* 1/6 (pow u 2))) 1/6))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.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 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.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 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u) (fma.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))) (fma.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u))))))) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))) |
(fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) |
(fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i)))) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i)))))))) |
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))) |
(fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i)))) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i))) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/720 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 #s(literal -1/5040 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))))))) (fma.f32 #s(literal -1/5040 binary32) n1_i (fma.f32 #s(literal 1/720 binary32) n1_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/36 binary32) n1_i (*.f32 #s(literal 1/120 binary32) n1_i))))))))))))) |
(+ n1_i (* -1 n0_i)) |
(+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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))))))) |
(+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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))))))) |
(+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))) (fma.f32 #s(literal -1/5040 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 #s(literal 1/120 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))))))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))) (*.f32 #s(literal 1/120 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))) (*.f32 #s(literal -1/6 binary32) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(*.f32 normAngle (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 normAngle (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(*.f32 normAngle (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 #s(literal 1/2 binary32) 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)))))))))) |
(*.f32 normAngle (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (fma.f32 #s(literal -1/24 binary32) n0_i (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+.f32 n0_i (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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 n0_i (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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)))))))) |
(+.f32 n0_i (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 n0_i u) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 n0_i u)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i u)) (*.f32 #s(literal -1/6 binary32) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))))) (*.f32 #s(literal 1/120 binary32) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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)))))))) |
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(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))) |
(*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 normAngle (+.f32 n1_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i (cos.f32 normAngle))))) (sin.f32 normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(*.f32 normAngle (+.f32 n1_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i (cos.f32 normAngle))))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(/.f32 (*.f32 normAngle (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i (cos.f32 normAngle)))))) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(*.f32 normAngle (+.f32 (/.f32 n0_i normAngle) (/.f32 (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i (cos.f32 normAngle))))) (sin.f32 normAngle)))) |
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (fma.f32 #s(literal -1 binary32) n1_i (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (fma.f32 #s(literal -1 binary32) n1_i (*.f32 n0_i (cos.f32 normAngle))))) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (fma.f32 #s(literal -1 binary32) n1_i (*.f32 n0_i (cos.f32 normAngle))))) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(*.f32 #s(literal -1 binary32) (*.f32 normAngle (fma.f32 #s(literal -1 binary32) (/.f32 n0_i normAngle) (/.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) n1_i (*.f32 n0_i (cos.f32 normAngle)))) (sin.f32 normAngle))))) |
(- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
(- (+ (* -1/2 (* n0_i u)) (* 1/2 n0_i)) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/2 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
(- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) u)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 2 binary32))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/6 binary32) (/.f32 (*.f32 n0_i (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle))) (sin.f32 normAngle)))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(+ n0_i (* -1 (* n0_i u))) |
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u)) |
(+ 1 (* u (- u 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 u #s(literal 1 binary32)))) |
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1))) |
(+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) #s(literal 1 binary32)))) |
(pow u 2) |
(pow.f32 u #s(literal 2 binary32)) |
(* (pow u 2) (+ 1 (* -1 u))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) |
(* (pow u 2) (+ 1 (* u (- u 1)))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 u #s(literal 1 binary32))))) |
(* (pow u 2) (+ 1 (* u (- (* u (+ 1 (* -1 u))) 1)))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 u (-.f32 (*.f32 u (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))) #s(literal 1 binary32))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))) |
(* (pow u 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
(* (pow u 2) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i u) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))) |
(* (pow u 2) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (* 1/2 (/ n0_i (pow u 2)))))) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 (/ n0_i (pow u 2)))))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i u) (fma.f32 #s(literal -1/6 binary32) n1_i (fma.f32 #s(literal 1/6 binary32) n0_i (*.f32 #s(literal 1/2 binary32) (/.f32 n0_i (pow.f32 u #s(literal 2 binary32))))))) (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (pow.f32 u #s(literal 2 binary32))) (*.f32 #s(literal 1/6 binary32) (/.f32 n0_i (pow.f32 u #s(literal 2 binary32))))))) |
(* -1 (* n0_i u)) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)))) |
(* -1 u) |
(*.f32 #s(literal -1 binary32) u) |
(* u (- (/ 1 u) 1)) |
(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(/ 1 u) |
(/.f32 #s(literal 1 binary32) u) |
(/ (- 1 (/ 1 u)) u) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u) |
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) u) |
(/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) u) |
u |
(* u (- 1 (/ 1 u))) |
(*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(* u (- (+ 1 (/ 1 (pow u 2))) (/ 1 u))) |
(*.f32 u (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) u))) |
(* u (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3))))) |
(*.f32 u (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (+.f32 (/.f32 n0_i u) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 n0_i) (+ (* -1/6 n1_i) (* 1/6 n0_i))) u)) (* 1/2 n0_i)) u)) (+ (* -1/6 n1_i) (* 1/6 n0_i)))) |
(*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) u) (*.f32 #s(literal 1/2 binary32) n0_i)) u) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) u))))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (*.f32 #s(literal -1 binary32) n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (+.f32 n0_i (fma.f32 #s(literal -1 binary32) n1_i (*.f32 #s(literal -1 binary32) (/.f32 n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))) |
(* -1 (/ (- (/ 1 u) 1) u)) |
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) |
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) #s(literal 1 binary32)) u)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u)) |
(*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) #s(literal 1 binary32)) u)) #s(literal 1 binary32)) u)) |
(* -1 (* u (- (/ 1 u) 1))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(* -1 (* u (- (* -1 (/ (- (/ 1 u) 1) u)) 1))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) #s(literal 1 binary32)))) |
(* -1 (* u (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) #s(literal 1 binary32)) u)) #s(literal 1 binary32)))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(/.f32 (*.f32 u (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i normAngle))) (sin.f32 normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 n0_i u) (*.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i normAngle)) (sin.f32 normAngle)))))) |
(- (* -1/6 (* n1_i (pow u 2))) (* -1/6 n1_i)) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) n1_i)) |
(- (+ (* -1/6 (* n1_i (pow u 2))) (* n0_i (+ 1/3 (* u (- (* 1/6 u) 1/2))))) (* -1/6 n1_i)) |
(-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 2 binary32))) (*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) u) #s(literal 1/2 binary32)))))) (*.f32 #s(literal -1/6 binary32) n1_i)) |
(* 1/6 n0_i) |
(*.f32 #s(literal 1/6 binary32) n0_i) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(* -1/6 n1_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(+ (* -1/6 n1_i) (* 1/6 n0_i)) |
(fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u)) |
(fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)) |
(* -1/3 n0_i) |
(*.f32 #s(literal -1/3 binary32) n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))) |
(* -1/6 n0_i) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))) |
(* n0_i (+ 1/3 (* u (- (* 1/6 u) 1/2)))) |
(*.f32 n0_i (+.f32 #s(literal 1/3 binary32) (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) u) #s(literal 1/2 binary32))))) |
(* n0_i (- (+ 1/3 (+ (* -1/6 (/ (* n1_i (pow u 2)) n0_i)) (* u (- (* 1/6 u) 1/2)))) (* -1/6 (/ n1_i n0_i)))) |
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1/3 binary32) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 n1_i (pow.f32 u #s(literal 2 binary32))) n0_i) (*.f32 u (-.f32 (*.f32 #s(literal 1/6 binary32) u) #s(literal 1/2 binary32))))) (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle))))) |
(* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))) |
(*.f32 n0_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 n1_i n0_i)))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 n0_i (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 n1_i u) n0_i)) u)) |
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) |
(*.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u)))) |
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u)))) |
(*.f32 n0_i (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 n1_i u) n0_i)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u)))) |
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))))) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(*.f32 n0_i (fma.f32 #s(literal -1 binary32) (*.f32 normAngle (cos.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) n0_i))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(*.f32 n0_i (+.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle)))))) |
(* -1 (* n0_i (- (* u (+ 1/2 (* -1/6 u))) 1/3))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 u (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) u))) #s(literal 1/3 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* -1/6 (* n1_i (pow u 2))) (* -1/6 n1_i)) n0_i)) (* u (+ 1/2 (* -1/6 u)))) 1/3))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 2 binary32)))) (*.f32 #s(literal -1/6 binary32) n1_i)) n0_i) (*.f32 u (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) u)))) #s(literal 1/3 binary32)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 normAngle))))))) |
(* -1 (* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 n1_i n0_i)) #s(literal 1/6 binary32)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i normAngle) n0_i) (*.f32 normAngle (cos.f32 normAngle))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal 1 binary32)))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(*.f32 #s(literal -1 binary32) (*.f32 n0_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle (*.f32 u (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32)))) |
(- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) (* 1/6 n0_i)) |
(-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i u))))) (*.f32 #s(literal 1/6 binary32) n0_i)) |
(- (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* -1/6 (pow u 2)))) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))))) (* 1/6 n0_i)) |
(-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 n1_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 2 binary32)))) (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i u)))))) (*.f32 #s(literal 1/6 binary32) n0_i)) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+.f32 n0_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(* n1_i (+ 1/6 (* -1/6 (pow u 2)))) |
(*.f32 n1_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 2 binary32))))) |
(* n1_i (- (+ 1/6 (+ (* -1/6 (pow u 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u)))) n1_i)))) (* 1/6 (/ n0_i n1_i)))) |
(*.f32 n1_i (-.f32 (+.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) (/.f32 n0_i n1_i) (/.f32 (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i u)))) n1_i)))) (*.f32 #s(literal 1/6 binary32) (/.f32 n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 n1_i (+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))))) |
(* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)) |
(*.f32 n1_i (-.f32 (*.f32 #s(literal 1/6 binary32) (/.f32 n0_i n1_i)) #s(literal 1/6 binary32))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) n1_i))) |
(*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u)))) n1_i))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle)))) |
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)))) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 n1_i (+.f32 normAngle (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.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 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle))) (+.f32 (/.f32 n0_i n1_i) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))))) |
(* -1 (* n1_i (- (* 1/6 (pow u 2)) 1/6))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 2 binary32))) #s(literal 1/6 binary32)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))) (* 1/6 n0_i)) n1_i)) (* 1/6 (pow u 2))) 1/6))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i u))))) (*.f32 #s(literal 1/6 binary32) n0_i)) n1_i) (*.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 2 binary32)))) #s(literal 1/6 binary32)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n1_i (sin.f32 normAngle))))))) |
(* -1 (* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (/.f32 n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) u (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (/.f32 (pow.f32 u #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (*.f32 n1_i (sin.f32 normAngle)))))) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) normAngle (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(*.f32 #s(literal -1 binary32) (*.f32 n1_i (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))) n1_i))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 93 | 392 |
| 0 | 142 | 356 |
| 1 | 633 | 327 |
| 2 | 5466 | 327 |
| 0 | 8196 | 321 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))) |
(*.f32 #s(literal 1/6 binary32) n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
(fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) 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)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u))) |
(/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32))) |
(fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u)) |
(-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) |
#s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i) |
| Outputs |
|---|
(/.f32 (-.f32 (pow.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 2 binary32))) (+.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 n1_i #s(literal -1/6 binary32))) (*.f32 #s(literal 1/6 binary32) n0_i))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) |
(/.f32 (-.f32 (pow.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 n1_i #s(literal -1/6 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i n0_i) (*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 n1_i #s(literal -1/6 binary32))) (*.f32 #s(literal 1/6 binary32) n0_i))))) |
(/.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (-.f32 (pow.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32)))) (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) #s(literal 2 binary32))) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (-.f32 (pow.f32 (*.f32 n1_i #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(literal 1/2 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) #s(literal 2 binary32))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i n1_i) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32)))))) (*.f32 (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (fma.f32 #s(literal 1/216 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(literal -1/6 binary32)) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i n1_i) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))))))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) #s(literal 3 binary32))) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 n0_i #s(literal 1/2 binary32))))) (-.f32 (pow.f32 (*.f32 n1_i #s(literal -1/6 binary32)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 2 binary32))))) (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 n0_i #s(literal 1/2 binary32))))) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)))) |
(/.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i n1_i) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32)))))) (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 n0_i #s(literal 1/2 binary32))))) (fma.f32 #s(literal 1/216 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(literal -1/6 binary32)) #s(literal 3 binary32))))) (*.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u) (*.f32 n0_i #s(literal 1/2 binary32))))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i n1_i) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 n1_i #s(literal -1/6 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32)))) (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32)))) |
(-.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal 1/6 binary32) n0_i)) (*.f32 n1_i #s(literal -1/6 binary32))) |
(-.f32 (/.f32 (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))))) (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32)))))) |
(-.f32 (/.f32 (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32)))) (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (fma.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32)))) (pow.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) #s(literal 2 binary32))))) |
(-.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 n1_i #s(literal -1/6 binary32))) (*.f32 #s(literal 1/6 binary32) n0_i)) |
(-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (fma.f32 (neg.f32 u) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) |
(-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) |
(fma.f32 u (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) (-.f32 (*.f32 n0_i #s(literal 1/2 binary32)) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) |
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(+.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal 1/6 binary32) n0_i)) |
(+.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) |
#s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u) normAngle) normAngle (*.f32 (-.f32 n1_i n0_i) u))) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)))) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)))) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 normAngle) n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (sin.f32 (neg.f32 normAngle)) (*.f32 (sin.f32 normAngle) (*.f32 (neg.f32 normAngle) n1_i))) (*.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (*.f32 (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 normAngle n1_i) (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32))) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 normAngle)) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))) |
(-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal -1 binary32))) |
(-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))))) |
(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 (neg.f32 normAngle) n1_i) (sin.f32 normAngle))) |
(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal -1 binary32) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 n0_i (/.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(fma.f32 n0_i (*.f32 (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal -1 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(fma.f32 n0_i (neg.f32 (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) #s(literal 3 binary32)) (fma.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle))) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 (neg.f32 normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(/.f32 (-.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32))) (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 normAngle) n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 (neg.f32 normAngle) n1_i))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 normAngle n1_i) (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i))) |
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (*.f32 normAngle n1_i) (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i))) (/.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)))) |
(-.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 (neg.f32 normAngle) n1_i)) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) n0_i)) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 n0_i) (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)))) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) |
(fma.f32 (*.f32 n0_i (neg.f32 (cos.f32 normAngle))) normAngle (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 n0_i (neg.f32 (cos.f32 normAngle))) normAngle (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle n0_i)) (cos.f32 normAngle) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 normAngle n0_i)) (cos.f32 normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 #s(literal -1 binary32) (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 (neg.f32 (*.f32 normAngle n0_i)) (cos.f32 normAngle) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (neg.f32 (*.f32 normAngle n0_i)) (cos.f32 normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 normAngle n0_i) (neg.f32 (cos.f32 normAngle)) (*.f32 normAngle n1_i)) |
(fma.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 normAngle n0_i) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 normAngle n0_i) (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) n0_i (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) n0_i (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 (cos.f32 normAngle) normAngle) (neg.f32 n0_i) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 (cos.f32 normAngle) normAngle) (neg.f32 n0_i) (*.f32 normAngle n1_i)) |
(fma.f32 (cos.f32 normAngle) (*.f32 (neg.f32 normAngle) n0_i) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (cos.f32 normAngle) (*.f32 (neg.f32 normAngle) n0_i) (*.f32 normAngle n1_i)) |
(fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal -1 binary32) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal -1 binary32) (*.f32 normAngle n1_i)) |
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 normAngle n1_i (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (*.f32 normAngle n1_i)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) #s(literal 3 binary32)) (fma.f32 (*.f32 normAngle n1_i) (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32)) (fma.f32 (*.f32 normAngle n1_i) (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (pow.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 normAngle)) n1_i)) |
(+.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) (*.f32 normAngle n1_i)) |
(+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i)) |
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 normAngle)) (*.f32 u n0_i))))) |
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i)) (/.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i))) |
(-.f32 n0_i (*.f32 (neg.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 normAngle))) u)) |
(-.f32 n0_i (*.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 normAngle)) u n0_i) |
(fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i) |
(fma.f32 #s(literal 1 binary32) n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) |
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (sin.f32 normAngle)) n0_i) |
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i) |
(+.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 n0_i (cos.f32 normAngle)) normAngle)) (/.f32 u (sin.f32 normAngle)))) |
Compiled 35 473 to 3 171 computations (91.1% saved)
30 alts after pruning (26 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 465 | 18 | 483 |
| Fresh | 10 | 8 | 18 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 477 | 30 | 507 |
| Status | Accuracy | Program |
|---|---|---|
| 98.0% | (fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) | |
| 97.2% | (fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) | |
| 83.8% | (fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) | |
| 74.7% | (/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) | |
| 97.4% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 96.9% | (+.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)) | |
| ✓ | 88.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) |
| 77.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 57.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) u n0_i)) | |
| 97.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) u n0_i)) | |
| 98.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 #s(literal 1 binary32) u)))) | |
| ✓ | 97.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
| 82.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) | |
| 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* (- 1 u) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))))) | |
| 98.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) u) u)) (+.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) u)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) 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 n0_i (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 u u))) (*.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u))) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) | |
| 98.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) | |
| ✓ | 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u))) |
| 98.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 u (+.f32 #s(literal 1 binary32) u)) u)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) 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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 #s(approx (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) | |
| 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) #s(approx (+ (* -1/6 n1_i) (* 1/6 n0_i)) (*.f32 #s(literal -1/6 binary32) n1_i))))))))) | |
| ✓ | 97.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
| 83.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) | |
| 31.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) | |
| 47.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) | |
| 98.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u) normAngle) normAngle (*.f32 (-.f32 n1_i n0_i) u))))) | |
| 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)))))) | |
| 97.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) | |
| 38.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i u))) |
Compiled 4 996 to 1 433 computations (71.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
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(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) (*.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 normAngle (*.f32 #s(literal -1 binary32) (*.f32 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)) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))))) (*.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 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 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)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i)) |
(+.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)))))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
5 calls:
| 18.0ms | (+.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)) |
| 17.0ms | normAngle |
| 17.0ms | n0_i |
| 15.0ms | n1_i |
| 15.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.7% | 1 | normAngle |
| 98.7% | 1 | u |
| 98.7% | 1 | n0_i |
| 98.7% | 1 | n1_i |
Compiled 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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 u n1_i (*.f32 (-.f32 #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)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* (- 1 u) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.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 (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) (*.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 u n1_i (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) 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)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u) normAngle) normAngle (*.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 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.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 #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (-.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 (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (*.f32 n1_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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 #s(approx (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/2 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) #s(approx (+ (* -1/6 n1_i) (* 1/6 n0_i)) (*.f32 #s(literal -1/6 binary32) n1_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 u (+.f32 #s(literal 1 binary32) u)) u)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) u) u) u)) (+.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) u)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (*.f32 u u))) (*.f32 (+.f32 (neg.f32 u) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) u))) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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)) (fma.f32 (/.f32 #s(approx (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (*.f32 #s(literal -1 binary32) (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 u normAngle)) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin 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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle)))))) |
(+.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 (neg.f32 (*.f32 (cos.f32 normAngle) normAngle)) n0_i (*.f32 normAngle n1_i)) (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 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) #s(approx (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)) (*.f32 n0_i u))))) (*.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 #s(approx (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (*.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.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)) (+.f32 n0_i (*.f32 u (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))))) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) (*.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 normAngle (*.f32 #s(literal -1 binary32) (*.f32 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)) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))))) (*.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 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 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)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i)) |
(+.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
5 calls:
| 56.0ms | n1_i |
| 24.0ms | u |
| 16.0ms | 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)) |
| 15.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.7% | 1 | normAngle |
| 98.7% | 1 | u |
| 98.7% | 1 | n0_i |
| 98.7% | 1 | n1_i |
Compiled 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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 u n1_i (*.f32 (-.f32 #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)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* (- 1 u) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.f32 n0_i u)))))) |
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(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+.f32 u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (*.f32 #s(literal -1/6 binary32) u))))) n1_i)) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (/.f32 (*.f32 n0_i (*.f32 normAngle (*.f32 u (cos.f32 normAngle)))) (sin.f32 normAngle))))) (*.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 normAngle (*.f32 #s(literal -1 binary32) (*.f32 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)) |
(+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)))))) (*.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 u (fma.f32 #s(literal -1 binary32) normAngle (/.f32 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)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal -1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i)) |
(+.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle))))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 u (fma.f32 (pow.f32 u #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (pow.f32 u #s(literal 2 binary32))) (sin.f32 normAngle)))) (/.f32 normAngle (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)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
5 calls:
| 39.0ms | 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)) |
| 15.0ms | n1_i |
| 15.0ms | u |
| 15.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | normAngle |
| 98.7% | 1 | u |
| 98.7% | 1 | n0_i |
| 98.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.7% | 1 | 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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 u n1_i (*.f32 (-.f32 #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)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* (- 1 u) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.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 (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) (*.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 u n1_i (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) 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)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u) normAngle) normAngle (*.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 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.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 #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (-.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 (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (*.f32 n1_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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (/.f32 (*.f32 n1_i (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(fma.f32 #s(approx (/ (sin (* u normAngle)) (sin normAngle)) (/.f32 (*.f32 normAngle u) (sin.f32 normAngle))) n1_i (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (-.f32 #s(approx (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/6 binary32) (*.f32 n1_i u)))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) (*.f32 u (-.f32 (*.f32 #s(literal -1 binary32) (-.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) n1_i)))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 n0_i u) (*.f32 #s(literal 1/2 binary32) n0_i)) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) #s(approx (+ (* -1/6 n1_i) (* 1/6 n0_i)) (*.f32 #s(literal -1/6 binary32) n1_i))))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (fma.f32 n1_i u (*.f32 (pow.f32 normAngle #s(literal 2 binary32)) #s(approx (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 u (-.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 u (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) n0_i)))))) (fma.f32 #s(literal -1/6 binary32) n1_i (*.f32 #s(literal 1/6 binary32) 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 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 n0_i #s(literal 1/2 binary32))) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
5 calls:
| 34.0ms | n1_i |
| 7.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 7.0ms | n0_i |
| 7.0ms | u |
| 6.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.6% | 1 | normAngle |
| 98.6% | 1 | u |
| 98.6% | 1 | n0_i |
| 98.6% | 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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 u n1_i (*.f32 (-.f32 #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)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* (- 1 u) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.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 (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) (*.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 u n1_i (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) 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)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u) normAngle) normAngle (*.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 n0_i (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32)))) (*.f32 n1_i u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u) normAngle) normAngle (*.f32 (-.f32 n1_i n0_i) u))))) |
5 calls:
| 24.0ms | n0_i |
| 4.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 4.0ms | n1_i |
| 4.0ms | u |
| 4.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.3% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.3% | 1 | normAngle |
| 98.3% | 1 | u |
| 98.3% | 1 | n0_i |
| 98.3% | 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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 u n1_i (*.f32 (-.f32 #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)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) 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 n0_i #s(approx (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (*.f32 u (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* (- 1 u) n0_i) (+.f32 n0_i (*.f32 #s(literal -1 binary32) (*.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 (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 u (+.f32 n1_i (fma.f32 #s(literal -1 binary32) 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)) #s(approx (+ (* n0_i (- 1 u)) (* n1_i u)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i (+.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) (*.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 u n1_i (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 #s(literal 1 binary32) u)))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* (neg (* (cos normAngle) normAngle)) n0_i) (* normAngle n1_i)) (sin normAngle)) (+.f32 n1_i (*.f32 #s(literal -1 binary32) n0_i))) u n0_i)) |
5 calls:
| 4.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 4.0ms | n1_i |
| 4.0ms | n0_i |
| 4.0ms | normAngle |
| 4.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | n1_i |
| 97.6% | 1 | normAngle |
| 97.6% | 1 | u |
| 97.6% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 97.6% | 1 | n0_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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.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 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) 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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
5 calls:
| 20.0ms | u |
| 2.0ms | normAngle |
| 2.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 2.0ms | n0_i |
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | n1_i |
| 97.4% | 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)) |
| 97.4% | 1 | normAngle |
| 97.4% | 1 | u |
| 97.4% | 1 | n0_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 (+ (* u n1_i) (* (- 1 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 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) |
5 calls:
| 1.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 1.0ms | n1_i |
| 1.0ms | n0_i |
| 1.0ms | normAngle |
| 1.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.7% | 1 | u |
| 82.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 82.7% | 1 | normAngle |
| 82.7% | 1 | n0_i |
| 82.7% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* (- 1 u) n0_i)) (*.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 (+ (* u n1_i) (* (- 1 u) n0_i)) (*.f32 n1_i u))) |
5 calls:
| 1.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 1.0ms | n0_i |
| 1.0ms | u |
| 1.0ms | normAngle |
| 1.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.7% | 1 | u |
| 38.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 38.7% | 1 | n0_i |
| 38.7% | 1 | normAngle |
| 38.7% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 639 | 3074 |
| 0 | 520 | 2957 |
| 0 | 221 | 903 |
| 0 | 661 | 3281 |
| 0 | 65 | 345 |
| 0 | 106 | 337 |
| 1 | 373 | 307 |
| 2 | 2849 | 307 |
| 0 | 9246 | 299 |
| 0 | 93 | 392 |
| 0 | 142 | 356 |
| 1 | 633 | 327 |
| 2 | 5466 | 327 |
| 0 | 8196 | 321 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
Compiled 536 to 148 computations (72.4% saved)
(abs normAngle)
Compiled 1 258 to 416 computations (66.9% saved)
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