
Time bar (total: 11.6s)
| 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)
| 2.1s | 8 256× | 0 | valid |
| 743.0ms | 1 997× | 0 | invalid |
ival-sin: 643.0ms (28% of total)ival-mult: 534.0ms (23.2% of total)const: 304.0ms (13.2% of total)ival-<=: 303.0ms (13.2% of total)ival-div: 198.0ms (8.6% of total)ival-sub: 111.0ms (4.8% of total)ival-add: 71.0ms (3.1% of total)ival-and: 59.0ms (2.6% of total)ival-pi: 45.0ms (2% of total)exact: 24.0ms (1% of total)adjust: 4.0ms (0.2% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 24 | 0 | - | 23 | (4.801731734690891e-31 7.201316765126364e-10 5.360960494726896e-5 -1.2968417799401586e-29) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 8 |
| - | 0 | 247 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 8 |
| - | 0 | 0 | 247 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 67.0ms | 508× | 0 | valid |
| 1.0ms | 4× | 1 | valid |
Compiled 231 to 55 computations (76.2% saved)
ival-mult: 22.0ms (46.9% of total)ival-sin: 12.0ms (25.6% of total)ival-div: 6.0ms (12.8% of total)ival-sub: 3.0ms (6.4% of total)ival-add: 2.0ms (4.3% 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)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 284 | 302 |
| 2 | 842 | 268 |
| 3 | 2688 | 256 |
| 4 | 4855 | 252 |
| 5 | 7086 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 49 | 21 |
| 2 | 110 | 18 |
| 3 | 314 | 18 |
| 4 | 627 | 18 |
| 5 | 988 | 18 |
| 6 | 1694 | 18 |
| 7 | 3471 | 18 |
| 8 | 6895 | 18 |
| 0 | 8389 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.4% | (+.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)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 0 | 29 | 101 |
| 1 | 49 | 89 |
| 2 | 110 | 86 |
| 3 | 314 | 86 |
| 4 | 627 | 86 |
| 5 | 988 | 86 |
| 6 | 1694 | 86 |
| 7 | 3471 | 86 |
| 8 | 6895 | 86 |
| 0 | 8389 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
n1_i |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.16796875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.420917529305326 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.3672857810520935 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 69.0ms | 254× | 0 | valid |
| 0.0ms | 2× | 1 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-sin: 29.0ms (66.6% of total)ival-mult: 9.0ms (20.7% of total)ival-div: 2.0ms (4.6% of total)ival-sub: 2.0ms (4.6% of total)ival-add: 1.0ms (2.3% 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 (*.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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 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 |
|---|
(+ (* 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)))))) |
(* normAngle (- 1 u)) |
(+ (/ (* 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 |
(+ 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)))))) |
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 (* -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))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* 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 | |
|---|---|---|---|---|
| 28.0ms | normAngle | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 17.0ms | n1_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 6.0ms | n0_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 5.0ms | normAngle | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 4.0ms | normAngle | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1535 |
| 1 | 1092 | 1412 |
| 2 | 4415 | 1356 |
| 0 | 8208 | 1277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(- 1 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)))))) |
(* normAngle (- 1 u)) |
(+ (/ (* 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 |
(+ 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)))))) |
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 (* -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))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* 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 |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (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 (fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (sin.f32 normAngle)) u)) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u)) (cos.f32 normAngle)) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) (sin.f32 normAngle))) u #s(literal 1 binary32)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle))) u) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 63 |
| 1 | 80 | 53 |
| 2 | 452 | 50 |
| 3 | 4752 | 50 |
| 0 | 8223 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 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 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 4 binary32)))) |
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(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.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) (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 normAngle (+.f32 u #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) normAngle) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
Compiled 12 529 to 932 computations (92.6% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 11 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 252 | 11 | 263 |
| Status | Accuracy | Program |
|---|---|---|
| 97.5% | (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| 73.7% | (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) | |
| 97.3% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 83.2% | (+.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)) | |
| ▶ | 88.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) |
| ▶ | 88.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)) | |
| ▶ | 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
| ▶ | 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
Compiled 756 to 508 computations (32.8% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) | |
| cost-diff | 0 | (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) | |
| cost-diff | 2 | (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) | |
| cost-diff | 0 | (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) | |
| cost-diff | 2 | (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) | |
| cost-diff | 2 | (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) | |
| cost-diff | 0 | (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) | |
| cost-diff | 0 | (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) | |
| cost-diff | 2 | (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) | |
| cost-diff | 0 | (*.f32 normAngle u) | |
| cost-diff | 0 | (sin.f32 (*.f32 normAngle u)) | |
| cost-diff | 0 | (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 494 |
| 0 | 80 | 494 |
| 1 | 159 | 474 |
| 2 | 389 | 441 |
| 3 | 1277 | 441 |
| 4 | 3423 | 436 |
| 5 | 6718 | 436 |
| 0 | 8345 | 426 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.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 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(*.f32 n1_i normAngle) |
n1_i |
normAngle |
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos.f32 normAngle) |
n0_i |
(sin.f32 normAngle) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) |
(*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) |
u |
(*.f32 #s(literal -1/2 binary32) n0_i) |
#s(literal -1/2 binary32) |
n0_i |
(*.f32 normAngle normAngle) |
normAngle |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(*.f32 n1_i normAngle) |
n1_i |
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos.f32 normAngle) |
(sin.f32 normAngle) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 n0_i n1_i) |
n0_i |
n1_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(sin.f32 normAngle) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.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 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (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)) (fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i)) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (/.f32 normAngle (sin.f32 normAngle))) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(*.f32 n1_i normAngle) |
n1_i |
normAngle |
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos.f32 normAngle) |
n0_i |
(sin.f32 normAngle) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (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)) (fma.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 n0_i normAngle) u) #s(literal -1/2 binary32) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) u n0_i)) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(fma.f32 (*.f32 normAngle (fma.f32 (*.f32 (*.f32 n0_i normAngle) u) #s(literal -1/2 binary32) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) u n0_i) |
(fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) |
(*.f32 normAngle (fma.f32 (*.f32 (*.f32 n0_i normAngle) u) #s(literal -1/2 binary32) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) |
(*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) |
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u) |
u |
(*.f32 #s(literal -1/2 binary32) n0_i) |
#s(literal -1/2 binary32) |
n0_i |
(*.f32 normAngle normAngle) |
normAngle |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (/.f32 normAngle (sin.f32 normAngle))) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(*.f32 n1_i normAngle) |
n1_i |
(*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) |
(*.f32 (cos.f32 normAngle) normAngle) |
(cos.f32 normAngle) |
(sin.f32 normAngle) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) |
(/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) |
(/.f32 n0_i n1_i) |
n0_i |
n1_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(sin.f32 normAngle) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) | |
| accuracy | 0.16796875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.265625 | (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) | |
| accuracy | 0.7325326315968299 | (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) | |
| accuracy | 0.03515625 | (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) | |
| accuracy | 0.05787278645674164 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) | |
| accuracy | 0.0625 | (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) | |
| accuracy | 6.602992689953758 | (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) | |
| accuracy | 0.03515625 | (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) | |
| accuracy | 0.0625 | (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) | |
| accuracy | 0.06568528645674164 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) | |
| accuracy | 6.602992689953758 | (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) | |
| accuracy | 0.0 | (sin.f32 normAngle) | |
| accuracy | 0.04296875 | (/.f32 n1_i (sin.f32 normAngle)) | |
| accuracy | 1.1894088946168286 | (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| accuracy | 18.665111678007293 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.1328125 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.3838023939628847 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 431.0ms | 253× | 0 | valid |
| 2.0ms | 3× | 1 | valid |
Compiled 422 to 47 computations (88.9% saved)
ival-mult: 351.0ms (87.4% of total)ival-add: 29.0ms (7.2% of total)ival-div: 8.0ms (2% of total)ival-sin: 8.0ms (2% of total)ival-sub: 3.0ms (0.7% of total)ival-cos: 2.0ms (0.5% 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 |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.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)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
(/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(*.f32 (-.f32 #s(literal 1 binary32) u) 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))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(* normAngle (- n1_i n0_i)) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i)) |
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i)) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* 1/120 n0_i) (* (pow normAngle 2) (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i)))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))) (* (pow normAngle 2) (* u (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(sin (* normAngle u)) |
(* normAngle (- n1_i (* n0_i (cos normAngle)))) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))) (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) |
(/ n1_i (sin normAngle)) |
(sin normAngle) |
(* -1 (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))) |
(* (pow normAngle 2) (+ (* -1 (/ (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
1 |
(+ 1 (* -1 u)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(+ n0_i (* u (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(/ n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(/ (* n0_i (sin normAngle)) n1_i) |
(+ (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) n1_i))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) n1_i)) (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ normAngle (* -1 (* normAngle u))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (/ (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* 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))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle)))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i) |
(* n0_i (+ (/ (sin (* normAngle u)) n0_i) (/ (sin (* normAngle (- 1 u))) n1_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i normAngle) n0_i)) (* -1 (* 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 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (- (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i))))) |
(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (+ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ 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))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -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))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | u | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (* (- 1 u) normAngle)) |
| 26.0ms | n0_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (* (- 1 u) normAngle)) |
| 19.0ms | normAngle | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (* (- 1 u) normAngle)) |
| 18.0ms | normAngle | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (* (- 1 u) normAngle)) |
| 13.0ms | n1_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (* (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (/ n1_i (sin normAngle)) (sin normAngle) (* (- 1 u) normAngle)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 916 | 5254 |
| 1 | 3250 | 5028 |
| 0 | 8113 | 4674 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(* normAngle (- n1_i n0_i)) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i)) |
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i)) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* 1/120 n0_i) (* (pow normAngle 2) (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i)))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))) (* (pow normAngle 2) (* u (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(sin (* normAngle u)) |
(* normAngle (- n1_i (* n0_i (cos normAngle)))) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))) (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle))))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) |
(/ n1_i (sin normAngle)) |
(sin normAngle) |
(* -1 (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))) |
(* (pow normAngle 2) (+ (* -1 (/ (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i u)))) |
(* (pow normAngle 2) (+ (* -1 (/ (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
1 |
(+ 1 (* -1 u)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(+ n0_i (* u (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(/ n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(/ (* n0_i (sin normAngle)) n1_i) |
(+ (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) n1_i))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) n1_i)) (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(+ normAngle (* -1 (* normAngle u))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(* -1 (* u (+ (* -1 (/ (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) (sin normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* 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))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle)))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i) |
(* n0_i (+ (/ (sin (* normAngle u)) n0_i) (/ (sin (* normAngle (- 1 u))) n1_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i normAngle) n0_i)) (* -1 (* 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 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (- (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) (* n0_i (sin normAngle)))) (* -1 (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle u)) n0_i)) (* -1 (/ (sin (* normAngle (- 1 u))) n1_i))))) |
(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (+ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ 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))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -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))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) n1_i))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 5 binary32)) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 7 binary32)) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) normAngle) |
(* normAngle (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) normAngle) |
(* normAngle (- (+ n1_i (* 1/2 (* n0_i (pow normAngle 2)))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) n1_i) n0_i) normAngle) |
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* -1/24 (* n0_i (pow normAngle 2))) (* -1/2 n0_i)))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) normAngle) |
(* normAngle (- (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/720 (* n0_i (pow normAngle 2))) (* 1/24 n0_i))) (* -1/2 n0_i)))) n0_i)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) normAngle) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal 1/720 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal 1/120 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 n1_i #s(literal -7/360 binary32) (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i))) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* 1/120 n0_i) (* (pow normAngle 2) (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i))) #s(literal -1/6 binary32) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) n0_i))) (fma.f32 #s(literal -1/720 binary32) n0_i (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 n1_i #s(literal -7/360 binary32) (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i))) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i)))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 n1_i #s(literal -7/360 binary32) (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))) (* (pow normAngle 2) (* u (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i))) #s(literal -1/6 binary32) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) n0_i))) (fma.f32 #s(literal -1/720 binary32) n0_i (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))) (*.f32 (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 n1_i #s(literal -7/360 binary32) (*.f32 #s(literal 1/24 binary32) n0_i))) u)) (*.f32 normAngle normAngle) (*.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(+ (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* (pow normAngle 2) (- (+ (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (* (pow normAngle 2) (- (* n1_i (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))) (+ (* -1/6 (- (* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5)))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) (+ (* -1/5040 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))) (* 1/120 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (* n1_i (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (* 1/120 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) n1_i) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) #s(literal 1/120 binary32) (*.f32 (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) n1_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) n1_i (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(+ u (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7))) (+ (* -1/6 (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))) (+ (* -1/5040 (+ u (/ (* n0_i (- 1 u)) n1_i))) (* 1/120 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))))))))) (+ (* -1/6 (- (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (* 1/120 (+ u (/ (* n0_i (- 1 u)) n1_i)))))))) (* -1/6 (+ u (/ (* n0_i (- 1 u)) n1_i))))) (/ (* n0_i (- 1 u)) n1_i))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal 1/120 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) #s(literal -1/6 binary32) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) |
(* normAngle (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) normAngle) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (* -1/6 (pow u 3)))) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32)))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) normAngle) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) normAngle) |
(* normAngle (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) n1_i)) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) n1_i)) (* -1/5040 (pow u 7)))))))))) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n1_i) (pow.f32 u #s(literal 7 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) normAngle) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (*.f32 n1_i #s(literal -7/360 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 n1_i #s(literal -7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(* normAngle (- n1_i (* n0_i (cos normAngle)))) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 normAngle u) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) u (/.f32 n0_i normAngle)) normAngle) |
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)) |
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))) (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (/.f32 n1_i (*.f32 (sin.f32 normAngle) normAngle))) (*.f32 (/.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 normAngle normAngle)) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 u u) (*.f32 normAngle normAngle))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle))) |
(*.f32 (fma.f32 u (/.f32 (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) normAngle) (*.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32) (fma.f32 u (/.f32 (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) normAngle) (/.f32 n0_i (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle)) |
(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) (sin normAngle)) |
(/.f32 (*.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) (sin.f32 normAngle)) |
(/ (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) (sin normAngle)) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(* -1 (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(*.f32 normAngle (*.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) u (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))) |
(/.f32 (*.f32 (neg.f32 normAngle) (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)) |
(* (pow normAngle 2) (+ (* -1 (/ (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i u)))) |
(*.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (/.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (neg.f32 normAngle))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1 (/ (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(*.f32 (fma.f32 u (/.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (neg.f32 normAngle)) (*.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) u (/.f32 (neg.f32 n0_i) normAngle)) (neg.f32 normAngle))) (*.f32 normAngle normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 u u)) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) (*.f32 u u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) (*.f32 u u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) |
(+ n0_i (* u (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (/ (* n1_i (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i))))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) u) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))) (sin normAngle)))) (/ (* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (sin normAngle))))) |
(fma.f32 (fma.f32 (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) n1_i (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n1_i u) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) n1_i)))) (sin.f32 normAngle))) u)) u n0_i) |
(/ n0_i n1_i) |
(/.f32 n0_i n1_i) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) (/ n0_i n1_i)) |
(fma.f32 (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) u (/.f32 n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) n1_i) #s(literal -1/2 binary32) (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle))) u (/.f32 n0_i n1_i)) |
(+ (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (+ (* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (* u (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (* n1_i (sin normAngle)))))))) (/ normAngle (sin normAngle))))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))))) u (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) n1_i) #s(literal -1/2 binary32))) u (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle))) u (/.f32 n0_i n1_i)) |
(/ (* n0_i (sin normAngle)) n1_i) |
(/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i) |
(+ (* u (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) (/ (* n0_i (sin normAngle)) n1_i)) |
(fma.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) u (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* -1/2 (/ (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))) n1_i))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(fma.f32 (+.f32 (/.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 (sin.f32 normAngle) u)) (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) n1_i) normAngle) u (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i)) |
(+ (* u (+ normAngle (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)) (* u (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) (sin normAngle))) n1_i)) (* u (+ (* -1/6 (pow normAngle 3)) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) n1_i))))))))) (/ (* n0_i (sin normAngle)) n1_i)) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) n1_i))) u (*.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (sin.f32 normAngle)) n1_i) #s(literal -1/2 binary32))) u (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i))) u (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) u) |
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(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
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(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
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(*.f32 (+.f32 (/.f32 n0_i u) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u) |
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(*.f32 (-.f32 (fma.f32 (/.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) normAngle) u) (/.f32 n0_i (sin.f32 normAngle)))) u) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) normAngle) u) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 u u)) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (fma.f32 (/.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i (*.f32 u u)))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) normAngle) u) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 u u)) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
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(*.f32 (neg.f32 u) (-.f32 n0_i n1_i)) |
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(*.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u) |
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(* -1 (* u (+ (* -1 (/ (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (neg.f32 u) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (neg.f32 u)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
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(/ (* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i))) (sin normAngle)) |
(/.f32 (*.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) (sin.f32 normAngle)) |
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(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u))) |
(* n1_i normAngle) |
(*.f32 n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(+.f32 (/.f32 (fma.f32 (*.f32 n1_i normAngle) u (neg.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i))) (sin.f32 normAngle)) n0_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(+ (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i normAngle) (sin normAngle))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) n0_i (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) u #s(literal 1 binary32)) n0_i (/.f32 (*.f32 (*.f32 n1_i normAngle) u) (sin.f32 normAngle))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) |
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) n0_i) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle)) |
(* n0_i (- (/ (* n1_i normAngle) n0_i) (* normAngle (cos normAngle)))) |
(*.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) n0_i) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (/.f32 (*.f32 (*.f32 n1_i normAngle) u) n0_i)) (sin.f32 normAngle)) n0_i n0_i) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(*.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle)) n0_i) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(*.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) n0_i) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) u (/.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle))) n0_i) |
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) u #s(literal 1 binary32)) n0_i) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) u (fma.f32 (/.f32 (*.f32 normAngle u) n0_i) (/.f32 n1_i (sin.f32 normAngle)) #s(literal 1 binary32))) n0_i) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i n1_i)) |
(* n0_i (+ (/ (sin (* normAngle u)) (* n0_i (sin normAngle))) (/ (sin (* normAngle (- 1 u))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i)) (sin.f32 normAngle)) n0_i) |
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(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i)) |
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(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
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(* -1 (* n0_i (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) 1))) |
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(- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) |
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(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+.f32 (/.f32 (fma.f32 (*.f32 n1_i normAngle) u (neg.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i))) (sin.f32 normAngle)) n0_i) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) |
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (+ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(fma.f32 n1_i (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i)) |
(/ (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) n1_i) |
(/.f32 (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) n1_i) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) n1_i) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(/.f32 (*.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) (sin.f32 normAngle)) |
(* n1_i (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 (/.f32 n0_i n1_i)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(/.f32 (*.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) n1_i) (sin.f32 normAngle)) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) n1_i) #s(literal -1/2 binary32) (/.f32 (-.f32 normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) n1_i)))) |
(*.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) n1_i)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (neg.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) n1_i))))) |
(*.f32 (-.f32 (/.f32 (neg.f32 normAngle) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) n1_i))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 384 |
| 0 | 80 | 384 |
| 1 | 268 | 364 |
| 2 | 1814 | 349 |
| 0 | 8359 | 344 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.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)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) |
(fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
(/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) (fma.f32 (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) (*.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 u) n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 u) n1_i) (*.f32 (neg.f32 u) n1_i) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (neg.f32 u) n1_i))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 n1_i u) (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) n0_i))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (fma.f32 (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 n1_i u) (*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32))))) (*.f32 (/.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 (neg.f32 n1_i)) u) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 (neg.f32 n1_i)) u) (*.f32 (neg.f32 (neg.f32 n1_i)) u)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (neg.f32 (neg.f32 n1_i)) u))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n1_i) u) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 (neg.f32 n1_i) u)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u)) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (*.f32 n1_i u)))) |
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(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
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(-.f32 (*.f32 n1_i normAngle) (*.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) n0_i)) |
(-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) |
(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) n0_i (*.f32 n1_i normAngle)) |
(fma.f32 n1_i normAngle (*.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 n0_i normAngle))) |
(fma.f32 n1_i normAngle (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) |
(fma.f32 n1_i normAngle (neg.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (*.f32 n1_i normAngle)) |
(fma.f32 normAngle n1_i (*.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 n0_i normAngle))) |
(fma.f32 normAngle n1_i (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle))) |
(fma.f32 normAngle n1_i (neg.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) |
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(+.f32 (neg.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (*.f32 n1_i normAngle)) |
(+.f32 (*.f32 n1_i normAngle) (*.f32 (neg.f32 (cos.f32 normAngle)) (*.f32 n0_i normAngle))) |
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#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
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(+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u)))))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 3 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u))))))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 3 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u)))))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (+.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u))))))) |
(+.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i))) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 3 binary32)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i))) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32))))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 3 binary32)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i))) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (-.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i))) (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32))))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u)))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle u (PI.f32))) (sin.f32 (*.f32 normAngle u))) (-.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u))))) |
(+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i)) (sin.f32 (*.f32 normAngle u))) |
(+.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 n1_i))) (neg.f32 (sin.f32 (neg.f32 (neg.f32 normAngle))))) |
(/.f32 (neg.f32 (neg.f32 n1_i)) (sin.f32 (neg.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 n1_i) (sin.f32 (neg.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle))) |
(neg.f32 (/.f32 n1_i (sin.f32 (neg.f32 normAngle)))) |
(sin.f32 normAngle) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
Compiled 53 034 to 3 506 computations (93.4% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 708 | 18 | 726 |
| Fresh | 5 | 1 | 6 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 718 | 19 | 737 |
| Status | Accuracy | Program |
|---|---|---|
| 83.2% | (+.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)) | |
| ▶ | 99.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
| 99.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| 98.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) | |
| 90.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle)) n0_i)) u n0_i)) | |
| 84.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)) | |
| ▶ | 99.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) | |
| 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 40.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) | |
| 40.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| 99.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| ▶ | 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
| 57.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 99.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 n1_i #s(literal -7/360 binary32) (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| ▶ | 41.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) |
| ▶ | 40.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
Compiled 2 034 to 1 204 computations (40.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) | |
| cost-diff | 0 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) | |
| cost-diff | 2 | (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) | |
| cost-diff | 0 | (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| cost-diff | 2 | (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) | |
| cost-diff | 4 | (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) | |
| cost-diff | 0 | (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) | |
| cost-diff | 0 | (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) | |
| cost-diff | 0 | (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| cost-diff | 3 | (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) | |
| cost-diff | 7 | (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 901 |
| 0 | 122 | 901 |
| 1 | 253 | 874 |
| 2 | 696 | 838 |
| 3 | 2828 | 750 |
| 4 | 7814 | 750 |
| 0 | 8035 | 723 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
n0_i |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) |
#s(literal 1/2 binary32) |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
#s(literal 1/6 binary32) |
(-.f32 n1_i n0_i) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) |
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) |
n1_i |
(/.f32 u n0_i) |
u |
n0_i |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
(-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) |
(-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) |
(fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) |
(*.f32 n0_i u) |
n0_i |
u |
#s(literal -1/2 binary32) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
#s(literal -1/6 binary32) |
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
n1_i |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
#s(literal -1/6 binary32) |
n1_i |
(-.f32 (pow.f32 u #s(literal 3 binary32)) u) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(*.f32 n1_i 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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) |
(-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
n0_i |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) |
#s(literal 1/2 binary32) |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(-.f32 n1_i n0_i) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) |
#s(literal 1/120 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(*.f32 (-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) |
(-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u) |
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) |
(fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) |
n1_i |
(/.f32 u n0_i) |
u |
n0_i |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
(fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
#s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) |
(-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) |
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 #s(literal 1/6 binary32) n1_i)) |
(fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) |
(*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal -1/6 binary32)) n0_i) |
(*.f32 n0_i u) |
n0_i |
u |
#s(literal -1/2 binary32) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
#s(literal -1/6 binary32) |
(fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
n1_i |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) u))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(*.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) u)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) n1_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
#s(literal -1/6 binary32) |
n1_i |
(-.f32 (pow.f32 u #s(literal 3 binary32)) u) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(*.f32 n1_i u) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19883623561350605 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))) | |
| accuracy | 0.234375 | (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) | |
| accuracy | 0.390625 | (*.f32 #s(literal -1/6 binary32) n1_i) | |
| accuracy | 18.429536967104895 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) | |
| accuracy | 0.16796875 | (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) | |
| accuracy | 0.21302476781725024 | #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) | |
| accuracy | 0.33984375 | (*.f32 #s(literal -1/6 binary32) n0_i) | |
| accuracy | 0.390625 | (*.f32 #s(literal -1/6 binary32) n1_i) | |
| accuracy | 0.0625 | (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) | |
| accuracy | 0.08984375 | (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) | |
| accuracy | 0.1875 | (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) | |
| accuracy | 0.3838023939628847 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.5682521185211252 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) | |
| accuracy | 18.429536967104895 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) | |
| accuracy | 0.36328125 | (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) | |
| accuracy | 0.44170631092597984 | (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) | |
| accuracy | 0.47406651606326233 | (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) | |
| accuracy | 0.6279487793053261 | (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) |
| 195.0ms | 251× | 0 | valid |
| 24.0ms | 3× | 1 | valid |
| 5.0ms | 2× | 5 | exit |
Compiled 614 to 82 computations (86.6% saved)
ival-mult: 51.0ms (31.5% of total)ival-sub: 50.0ms (30.9% of total)ival-add: 18.0ms (11.1% of total)const: 16.0ms (9.9% of total)ival-div: 9.0ms (5.6% of total)ival-sin: 8.0ms (4.9% of total)adjust: 3.0ms (1.9% of total)ival-pow: 3.0ms (1.9% of total)ival-cos: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) |
(-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) |
(fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.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 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
#s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) 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))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i)))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))) (* (pow normAngle 2) (* u (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* 1/120 n0_i) (* (pow normAngle 2) (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))) (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle))))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i u)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) |
1 |
(+ 1 (* u (- (/ n1_i n0_i) 1))) |
(- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))) |
(- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) |
(* -1/6 n0_i) |
(+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) |
(+ n0_i (* u (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* 1/6 (* n1_i u)) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(+ 1 (/ (* n1_i u) n0_i)) |
(- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* n0_i (* u (- (/ n1_i n0_i) 1))) |
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))) |
(* u (- (/ n1_i n0_i) 1)) |
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -1/2 (* n0_i u)) |
(* u (- (+ (* -1/2 n0_i) (* -1/6 (/ n0_i u))) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ n1_i u))))) |
(* u (+ (* -1/2 n0_i) (* -1/6 (/ n0_i u)))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (pow u 3))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(/ (* n1_i u) n0_i) |
(* u (+ (/ 1 u) (/ n1_i n0_i))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i)))))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))))) |
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (/ (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))) u)) (* 1/2 n0_i)))) |
(* -1 (* u (+ (* 1/6 (/ n0_i u)) (* 1/2 n0_i)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (/ (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(+ (* -1/36 n1_i) (* 1/120 n1_i)) |
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i) |
(* 1/6 n1_i) |
(- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i)) |
(* n0_i (- (* -1/2 u) 1/6)) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* 1/120 n1_i) |
(+ (* -1/120 n0_i) (* 1/120 n1_i)) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(/ (+ n0_i (* n1_i u)) n0_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i normAngle) (sin normAngle))) |
(* -23/360 n0_i) |
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360)) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 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 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(- 1 u) |
(- (+ 1 (/ (* n1_i u) n0_i)) u) |
(* n0_i (+ 1/3 (* -1/2 u))) |
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/6 (/ n1_i n0_i))))) |
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1/120 n0_i) |
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))) |
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (* 1/2 u) 1/3))) |
(* -1 (* n0_i (- (+ (* -1/6 (/ n1_i n0_i)) (* 1/2 u)) 1/3))) |
(* -1 (* n0_i (+ 1/6 (* 1/2 u)))) |
(* -1 (* n0_i (- (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) 1))) |
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) |
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i))) |
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 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)))) |
(- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (* -1/2 n0_i)) |
(- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (* -1/2 n0_i)) |
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (+ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 n1_i) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -7/360 n1_i) |
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360)) |
(* 7/360 n1_i) |
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* n1_i (- (+ 1/6 (+ (* -1/2 (/ (* n0_i u) n1_i)) (* -1/6 (/ n0_i n1_i)))) (* -1/2 (/ n0_i n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) n1_i)))) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* n1_i (+ (/ 1 n1_i) (/ u n0_i))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (* -1/2 n0_i)) n1_i)) 1/6))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))) |
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 46.0ms | n1_i | @ | 0 | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (* -1/6 n1_i) (- (pow u 3) u)) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (* -1/6 n1_i) (* -1/6 n0_i) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)))) |
| 18.0ms | normAngle | @ | inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (* -1/6 n1_i) (- (pow u 3) u)) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (* -1/6 n1_i) (* -1/6 n0_i) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)))) |
| 18.0ms | u | @ | 0 | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (* -1/6 n1_i) (- (pow u 3) u)) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (* -1/6 n1_i) (* -1/6 n0_i) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)))) |
| 9.0ms | u | @ | inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (* -1/6 n1_i) (- (pow u 3) u)) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (* -1/6 n1_i) (* -1/6 n0_i) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)))) |
| 7.0ms | n1_i | @ | -inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (* -1/6 n1_i) (- (pow u 3) u)) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (* -1/6 n1_i) (* -1/6 n0_i) (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 806 | 3878 |
| 1 | 2783 | 3662 |
| 0 | 8251 | 3428 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i)))))))))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))) (* (pow normAngle 2) (* u (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* 1/120 n0_i) (* (pow normAngle 2) (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))) (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle))))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(* (pow normAngle 2) (+ (* -1 (/ (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(* (pow normAngle 2) (+ (* -1 (/ (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i u)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) |
1 |
(+ 1 (* u (- (/ n1_i n0_i) 1))) |
(- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))) |
(- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) |
(* -1/6 n0_i) |
(+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) |
(+ n0_i (* u (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* 1/6 (* n1_i u)) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(+ 1 (/ (* n1_i u) n0_i)) |
(- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* n0_i (* u (- (/ n1_i n0_i) 1))) |
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))) |
(* u (- (/ n1_i n0_i) 1)) |
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -1/2 (* n0_i u)) |
(* u (- (+ (* -1/2 n0_i) (* -1/6 (/ n0_i u))) (+ (* -1/2 (/ n0_i u)) (* -1/6 (/ n1_i u))))) |
(* u (+ (* -1/2 n0_i) (* -1/6 (/ n0_i u)))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* n1_i (pow u 3))) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(/ (* n1_i u) n0_i) |
(* u (+ (/ 1 u) (/ n1_i n0_i))) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i)))))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))))) |
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (/ (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))) u)) (* 1/2 n0_i)))) |
(* -1 (* u (+ (* 1/6 (/ n0_i u)) (* 1/2 n0_i)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u)))) |
(* -1 (* u (+ (* -1 (/ (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(+ (* -1/36 n1_i) (* 1/120 n1_i)) |
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i) |
(* 1/6 n1_i) |
(- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i)) |
(* n0_i (- (* -1/2 u) 1/6)) |
(+ (* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(* 1/120 n1_i) |
(+ (* -1/120 n0_i) (* 1/120 n1_i)) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(/ (+ n0_i (* n1_i u)) n0_i) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i normAngle) (sin normAngle))) |
(* -23/360 n0_i) |
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360)) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 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 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(- 1 u) |
(- (+ 1 (/ (* n1_i u) n0_i)) u) |
(* n0_i (+ 1/3 (* -1/2 u))) |
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/6 (/ n1_i n0_i))))) |
(* n0_i (+ 1 (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* n0_i (+ 1 (+ (* u (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1/120 n0_i) |
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* n0_i (- (* -1/2 (* (pow normAngle 2) u)) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* n0_i (- (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))) |
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))) |
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (* 1/2 u) 1/3))) |
(* -1 (* n0_i (- (+ (* -1/6 (/ n1_i n0_i)) (* 1/2 u)) 1/3))) |
(* -1 (* n0_i (+ 1/6 (* 1/2 u)))) |
(* -1 (* n0_i (- (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (* u (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) 1))) |
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (- (* 1/2 (* (pow normAngle 2) u)) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) u))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) |
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i))) |
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 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)))) |
(- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (* -1/2 n0_i)) |
(- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* 1/6 n1_i))) (* -1/2 n0_i)) |
(+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (+ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* -1/6 n1_i) |
(- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* -7/360 n1_i) |
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360)) |
(* 7/360 n1_i) |
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* n1_i (- (+ 1/6 (+ (* -1/2 (/ (* n0_i u) n1_i)) (* -1/6 (/ n0_i n1_i)))) (* -1/2 (/ n0_i n1_i)))) |
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* normAngle u) (sin normAngle)) (/ (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) n1_i)))) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* n1_i (+ (/ 1 n1_i) (/ u n0_i))) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (* -1/2 n0_i)) n1_i)) 1/6))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))) |
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i)))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) n1_i))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 u n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) (*.f32 u n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n1_i u) |
(*.f32 u n1_i) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 u n1_i)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (*.f32 u n1_i)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (*.f32 u n1_i))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 u n1_i))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (*.f32 u n1_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i)))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i)))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))) (* (pow normAngle 2) (* u (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i))) #s(literal -1/6 binary32) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) n0_i))) (fma.f32 #s(literal -1/720 binary32) n0_i (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal -7/360 binary32) n1_i) #s(literal 1/6 binary32))))) (*.f32 (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) u)) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 u n1_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (- (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (+ (* 1/120 n0_i) (* (pow normAngle 2) (- (+ (* -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))))) (+ (* -1/720 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))) (+ (* -1/36 n1_i) (+ (* 1/120 n1_i) (* 1/24 n0_i))))))) (+ (* -1/2 n0_i) (* -1/6 n1_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/24 binary32) n0_i) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i))) #s(literal -1/6 binary32) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) n0_i))) (fma.f32 #s(literal -1/720 binary32) n0_i (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal -7/360 binary32) n1_i) #s(literal 1/6 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i))) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) u (/.f32 n0_i normAngle)) normAngle) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2)))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 u u) (*.f32 normAngle normAngle))) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32) (/.f32 (/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) (sin.f32 normAngle)) normAngle)) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- (/ n1_i (sin normAngle)) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32) (fma.f32 u (/.f32 (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) normAngle) (/.f32 n0_i (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 (fma.f32 (/.f32 u normAngle) (/.f32 n1_i normAngle) (*.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle)) |
(* -1/2 (* n0_i (* (pow normAngle 2) u))) |
(*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) |
(* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle)))) (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (/.f32 n1_i (*.f32 (sin.f32 normAngle) normAngle))) (*.f32 (/.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 normAngle normAngle)) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) u (/.f32 (neg.f32 n0_i) normAngle))) |
(* (pow normAngle 2) (+ (* -1 (/ (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32) (/.f32 (/.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) (sin.f32 normAngle)) (neg.f32 normAngle))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))))) normAngle)) (* -1/2 (* n0_i (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) u (/.f32 (neg.f32 n0_i) normAngle)) (neg.f32 normAngle))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1 (/ (- (* -1 (/ n1_i (sin normAngle))) (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i u)))) |
(*.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (/.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (neg.f32 normAngle))) (*.f32 normAngle normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(fma.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 normAngle u) n1_i) (sin.f32 normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 u u)) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) (*.f32 u u)) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) (*.f32 u u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u)) (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) (*.f32 u u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) |
(fma.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u) n0_i n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* u (- (/ n1_i n0_i) 1))) |
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))) |
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) |
(- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) |
(fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) |
(* -1/6 n0_i) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) |
(fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) |
(+ n0_i (* u (- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) u n0_i) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u) |
(* 1/6 (* n1_i u)) |
(*.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)) |
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) n1_i) n1_i)) u) |
(+ 1 (/ (* n1_i u) n0_i)) |
(/.f32 (fma.f32 u n1_i n0_i) n0_i) |
(- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(*.f32 (+.f32 (/.f32 n0_i u) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(* n0_i (* u (- (/ n1_i n0_i) 1))) |
(*.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u) n0_i) |
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))) |
(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u) |
(* u (- (/ n1_i n0_i) 1)) |
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u) |
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(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(* -1/2 (* n0_i u)) |
(*.f32 (*.f32 u n0_i) #s(literal -1/2 binary32)) |
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(*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (/.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) u)) u) |
(* u (+ (* -1/2 n0_i) (* -1/6 (/ n0_i u)))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) normAngle) u) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 u u)) |
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
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(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle normAngle))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* n1_i (pow u 3))) |
(*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) |
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i (/.f32 n1_i (*.f32 u u)))) (pow.f32 u #s(literal 3 binary32))) |
(/ (* n1_i u) n0_i) |
(/.f32 (*.f32 u n1_i) n0_i) |
(* u (+ (/ 1 u) (/ n1_i n0_i))) |
(fma.f32 (/.f32 n1_i n0_i) u #s(literal 1 binary32)) |
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle)))) (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) normAngle) u) (/.f32 n0_i (sin.f32 normAngle)))) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(*.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(*.f32 (neg.f32 u) (-.f32 (/.f32 (neg.f32 n0_i) u) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) |
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i)))))) |
(*.f32 (*.f32 (neg.f32 n0_i) u) (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))))) |
(*.f32 (neg.f32 u) (fma.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) n0_i (/.f32 (neg.f32 n0_i) u))) |
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i))))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))) |
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* u (+ (* -1 (/ (- (* -1/6 n0_i) (+ (* -1/2 n0_i) (* -1/6 n1_i))) u)) (* 1/2 n0_i)))) |
(*.f32 (neg.f32 u) (fma.f32 #s(literal 1/2 binary32) n0_i (/.f32 (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 u)))) |
(* -1 (* u (+ (* 1/6 (/ n0_i u)) (* 1/2 n0_i)))) |
(*.f32 (neg.f32 u) (fma.f32 (/.f32 n0_i u) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (/.f32 (neg.f32 n0_i) u) (/.f32 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) normAngle) (*.f32 normAngle n1_i)) (sin.f32 normAngle))) (neg.f32 u))) (*.f32 u u)) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(*.f32 (neg.f32 (pow.f32 u #s(literal 3 binary32))) (-.f32 (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal -1/6 binary32))) (*.f32 u u)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal -1/6 binary32)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i)))) |
(*.f32 (neg.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 n1_i (*.f32 u u)) n1_i))) (pow.f32 u #s(literal 3 binary32))) |
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u)))) |
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(/.f32 (fma.f32 u n1_i n0_i) n0_i) |
(* n1_i (- (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) n1_i) #s(literal -1/2 binary32) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) (/.f32 n0_i (sin.f32 normAngle)))) n1_i) |
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i))))) |
(*.f32 (-.f32 #s(literal 7/360 binary32) (/.f32 (fma.f32 (*.f32 n0_i #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360))) |
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 n0_i #s(literal 1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(*.f32 (-.f32 (/.f32 u (neg.f32 n0_i)) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1/2 (* n0_i u)) (* -1/6 n0_i)) (* -1/2 n0_i)) n1_i)) 1/6))) |
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n1_i)) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* u (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))) |
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/120 binary32)) #s(literal 1/120 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i)))) |
(*.f32 (-.f32 (/.f32 u (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (- (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) n1_i))))) |
(*.f32 (-.f32 (/.f32 (neg.f32 normAngle) (sin.f32 normAngle)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) n1_i)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 627 |
| 0 | 122 | 627 |
| 1 | 527 | 602 |
| 2 | 4537 | 602 |
| 0 | 8431 | 587 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) |
(-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) |
(fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.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 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
#s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
| Outputs |
|---|
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 1/120 binary32)) (-.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 #s(literal -1/216 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))) |
(-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (*.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32))) |
(fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32))) |
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) |
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32))) |
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) |
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(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) (*.f32 (/.f32 u n0_i) n1_i)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 u n0_i) n1_i))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 (/.f32 u n0_i)) n1_i)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 n1_i) (/.f32 u n0_i))) |
(fma.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32) #s(literal 1 binary32)) |
(fma.f32 (/.f32 u n0_i) (*.f32 n1_i #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) |
(fma.f32 u (/.f32 n1_i n0_i) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32)) |
(fma.f32 n1_i (*.f32 (/.f32 u n0_i) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 3 binary32)) (-.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 u n0_i) n1_i))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 u n0_i) n1_i)))) |
(+.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u n0_i) n1_i)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(*.f32 #s(literal -1/6 binary32) n0_i) |
(*.f32 n0_i #s(literal -1/6 binary32)) |
#s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (fma.f32 (-.f32 (*.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal -1/6 binary32))) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
Compiled 35 438 to 3 024 computations (91.5% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 9 | 454 |
| Fresh | 6 | 8 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 455 | 18 | 473 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
| 98.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) | |
| 84.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)) | |
| 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) | |
| 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 40.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) | |
| 40.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| 57.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) | |
| ▶ | 46.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
| 99.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| ✓ | 40.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
| ▶ | 41.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
| ▶ | 41.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) |
| ▶ | 41.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
Compiled 2 071 to 1 236 computations (40.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)) | |
| cost-diff | 0 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) | |
| cost-diff | 0 | #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)) | |
| cost-diff | 0 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) | |
| cost-diff | 2 | (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) | |
| cost-diff | 0 | (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u) | |
| cost-diff | 0 | #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)) | |
| cost-diff | 0 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) | |
| cost-diff | 0 | #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) | |
| cost-diff | 0 | (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) | |
| cost-diff | 0 | #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) | |
| cost-diff | 0 | (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 1042 |
| 0 | 125 | 1042 |
| 1 | 257 | 983 |
| 2 | 776 | 955 |
| 3 | 3658 | 913 |
| 0 | 8282 | 895 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
(-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) |
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) |
(*.f32 #s(literal 7/360 binary32) n1_i) |
#s(literal 7/360 binary32) |
n1_i |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) |
#s(literal 1/2 binary32) |
n0_i |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
#s(literal 1/6 binary32) |
(-.f32 n1_i n0_i) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) |
#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)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) |
(*.f32 (*.f32 normAngle normAngle) n1_i) |
(*.f32 normAngle normAngle) |
normAngle |
n1_i |
#s(literal 1/6 binary32) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
#s(literal -1/6 binary32) |
n1_i |
(-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) |
(*.f32 u u) |
u |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
#s(literal -1/6 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(-.f32 (pow.f32 u #s(literal 3 binary32)) u) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
n1_i |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i) |
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) |
(fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) |
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) |
(*.f32 #s(literal 7/360 binary32) n1_i) |
#s(literal 7/360 binary32) |
n1_i |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) |
#s(literal 1/2 binary32) |
n0_i |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(-.f32 n1_i n0_i) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) |
#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)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) |
(*.f32 (*.f32 normAngle normAngle) n1_i) |
(*.f32 normAngle normAngle) |
normAngle |
n1_i |
#s(literal 1/6 binary32) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle) #s(literal 1 binary32)) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle) #s(literal 1 binary32)) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle) #s(literal 1 binary32)) n1_i) u)) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u) |
(*.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle) #s(literal 1 binary32)) n1_i) u) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle) #s(literal 1 binary32)) n1_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
#s(literal -1/6 binary32) |
n1_i |
(-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) |
(*.f32 (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle) normAngle) |
(*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle u) (*.f32 normAngle u)) |
(*.f32 u u) |
u |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i)) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(-.f32 (pow.f32 u #s(literal 3 binary32)) u) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
n1_i |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.028007519536884032 | (-.f32 (pow.f32 u #s(literal 3 binary32)) u) | |
| accuracy | 0.1796875 | (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) | |
| accuracy | 0.19883623561350605 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) | |
| accuracy | 18.429536967104895 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) | |
| accuracy | 0.1484375 | (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) | |
| accuracy | 0.19883623561350605 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u))) | |
| accuracy | 0.390625 | (*.f32 #s(literal -1/6 binary32) n1_i) | |
| accuracy | 18.429536967104895 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) | |
| accuracy | 0.057768032758792005 | #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)) | |
| accuracy | 0.078125 | (*.f32 (*.f32 normAngle normAngle) n1_i) | |
| accuracy | 0.19883623561350605 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u))) | |
| accuracy | 18.429536967104895 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) | |
| accuracy | 0.0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)) | |
| accuracy | 0.1875 | (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i) | |
| accuracy | 0.3838023939628847 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) | |
| accuracy | 17.522387411947122 | #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) | |
| accuracy | 0.3125 | (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) | |
| accuracy | 0.36328125 | (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) | |
| accuracy | 0.40625 | (*.f32 #s(literal 7/360 binary32) n1_i) | |
| accuracy | 15.559743791767511 | #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) |
| 181.0ms | 251× | 0 | valid |
| 5.0ms | 2× | 5 | exit |
| 3.0ms | 3× | 1 | valid |
Compiled 584 to 82 computations (86% saved)
ival-mult: 79.0ms (47.6% of total)ival-sin: 19.0ms (11.4% of total)ival-div: 18.0ms (10.8% of total)const: 17.0ms (10.2% of total)ival-add: 14.0ms (8.4% of total)ival-sub: 10.0ms (6% of total)adjust: 3.0ms (1.8% of total)ival-pow: 3.0ms (1.8% of total)ival-cos: 2.0ms (1.2% of total)exact: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
(-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u) |
(-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) |
(*.f32 #s(literal 7/360 binary32) n1_i) |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) |
(*.f32 (*.f32 normAngle normAngle) n1_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(-.f32 (pow.f32 u #s(literal 3 binary32)) u) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) |
(* (pow normAngle 2) (- (pow u 2) 1)) |
(* n1_i (pow normAngle 2)) |
(* (pow normAngle 2) (pow u 2)) |
(* -1/6 (pow normAngle 2)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)) |
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* 1/6 (* n1_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2)))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) |
1 |
(+ 1 (* u (- (/ n1_i n0_i) 1))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (pow normAngle 2)) |
(- (* (pow normAngle 2) (pow u 2)) (pow normAngle 2)) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* -1 u) |
(* u (- (pow u 2) 1)) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* n0_i (* u (- (/ n1_i n0_i) 1))) |
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))) |
(* u (- (/ n1_i n0_i) 1)) |
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 2) (+ (* -1 (/ (pow normAngle 2) (pow u 2))) (pow normAngle 2))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(pow u 3) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i)))))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))))) |
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) |
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))) |
(/ (* n1_i u) n0_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i) |
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(* 1/6 n1_i) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(+ (* 1/6 n1_i) (* 1/3 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 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) |
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1)) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(- 1 u) |
(- (+ 1 (/ (* n1_i u) n0_i)) u) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))) |
(* -1/6 n0_i) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45))) |
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(+ 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)))) |
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) |
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(* 7/360 n1_i) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(* -1/6 n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))))) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | n1_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* (* normAngle normAngle) n1_i) 1/6) n1_i) u) (- (* (* u u) (* normAngle normAngle)) (* normAngle normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) u) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* (* normAngle normAngle) n1_i) (* -1/6 n1_i) (* (* u u) (* normAngle normAngle)) (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) |
| 9.0ms | normAngle | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* (* normAngle normAngle) n1_i) 1/6) n1_i) u) (- (* (* u u) (* normAngle normAngle)) (* normAngle normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) u) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* (* normAngle normAngle) n1_i) (* -1/6 n1_i) (* (* u u) (* normAngle normAngle)) (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) |
| 8.0ms | n1_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* (* normAngle normAngle) n1_i) 1/6) n1_i) u) (- (* (* u u) (* normAngle normAngle)) (* normAngle normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) u) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* (* normAngle normAngle) n1_i) (* -1/6 n1_i) (* (* u u) (* normAngle normAngle)) (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) |
| 7.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* (* normAngle normAngle) n1_i) 1/6) n1_i) u) (- (* (* u u) (* normAngle normAngle)) (* normAngle normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) u) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* (* normAngle normAngle) n1_i) (* -1/6 n1_i) (* (* u u) (* normAngle normAngle)) (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) |
| 7.0ms | n1_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* (* normAngle normAngle) n1_i) 1/6) n1_i) u) (- (* (* u u) (* normAngle normAngle)) (* normAngle normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (* (+ (* (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) u) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) (* (* normAngle normAngle) n1_i) (* -1/6 n1_i) (* (* u u) (* normAngle normAngle)) (* -1/6 (* normAngle normAngle)) (- (pow u 3) u)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 709 | 3264 |
| 1 | 2425 | 3017 |
| 0 | 8998 | 2817 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(+ n0_i (+ (* u (- n1_i 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) |
(* (pow normAngle 2) (- (pow u 2) 1)) |
(* n1_i (pow normAngle 2)) |
(* (pow normAngle 2) (pow u 2)) |
(* -1/6 (pow normAngle 2)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)) |
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(* 1/6 (* n1_i (* (pow normAngle 2) u))) |
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2)))) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) |
1 |
(+ 1 (* u (- (/ n1_i n0_i) 1))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(* -1 (pow normAngle 2)) |
(- (* (pow normAngle 2) (pow u 2)) (pow normAngle 2)) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))) |
(* -1 u) |
(* u (- (pow u 2) 1)) |
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* n0_i (* u (- (/ n1_i n0_i) 1))) |
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))) |
(* u (- (/ n1_i n0_i) 1)) |
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2))))) |
(* (pow u 2) (+ (* -1 (/ (pow normAngle 2) (pow u 2))) (pow normAngle 2))) |
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))) |
(pow u 3) |
(* (pow u 3) (- 1 (/ 1 (pow u 2)))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i)))))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))))) |
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))) |
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1))) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) |
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))) |
(/ (* n1_i u) n0_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i) |
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(* 1/6 n1_i) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(+ (* 1/6 n1_i) (* 1/3 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 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) |
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1)) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(- 1 u) |
(- (+ 1 (/ (* n1_i u) n0_i)) u) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))) |
(* -1/6 n0_i) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45))) |
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(+ 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)))) |
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) |
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(* 7/360 n1_i) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(* -1/6 n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))))) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360))) |
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/720 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* 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 n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 n0_i u)) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal 1/120 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/2 binary32) u) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_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 n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(- (+ n1_i (* (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 n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) n1_i)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) n1_i)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) |
(*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u) |
(* (pow normAngle 2) (- (pow u 2) 1)) |
(*.f32 (*.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) normAngle) normAngle) |
(* n1_i (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) n1_i) |
(* (pow normAngle 2) (pow u 2)) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) u) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle)) |
(*.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle))) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle) |
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle)) |
(*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle))) |
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4)))))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (+.f32 (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) |
(*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) n1_i (*.f32 (/.f32 n1_i normAngle) (/.f32 u normAngle))) (*.f32 normAngle normAngle)) |
(* 1/6 (* n1_i (* (pow normAngle 2) u))) |
(*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i) |
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2)))) |
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) u) n1_i (*.f32 (/.f32 n1_i normAngle) (/.f32 u normAngle))) (*.f32 normAngle normAngle)) |
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (neg.f32 u) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (cos.f32 normAngle) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u)) u (*.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))) |
(fma.f32 (*.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) |
(fma.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u) n0_i n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* u (- (/ n1_i n0_i) 1))) |
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (*.f32 u u) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i)) (*.f32 u u) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) (pow.f32 u #s(literal 3 binary32)) (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) n1_i (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32)))) (*.f32 u u))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)) (*.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(* -1 (pow normAngle 2)) |
(*.f32 (neg.f32 normAngle) normAngle) |
(- (* (pow normAngle 2) (pow u 2)) (pow normAngle 2)) |
(-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) u) (*.f32 normAngle normAngle)) |
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) |
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(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (neg.f32 (/.f32 n0_i n1_i)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) n1_i) |
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) |
(*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i) |
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i))) |
(*.f32 (-.f32 (fma.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i)) n1_i) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32))) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(*.f32 (+.f32 (/.f32 u n0_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) n1_i) |
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))))) |
(*.f32 (+.f32 #s(literal 7/360 binary32) (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) n1_i)) n1_i) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) n1_i) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/3 binary32) #s(literal 1/6 binary32)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (neg.f32 n0_i) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(*.f32 (/.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))) |
(*.f32 (-.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) normAngle) normAngle) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1))) |
(*.f32 (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) normAngle) normAngle (/.f32 (-.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/3 binary32) n0_i)) (*.f32 normAngle normAngle)) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(*.f32 (-.f32 (/.f32 (neg.f32 u) n0_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) |
(*.f32 (*.f32 (neg.f32 u) n1_i) (-.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32))) |
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360))) |
(*.f32 (-.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/18 binary32) n0_i (*.f32 #s(literal -1/120 binary32) n0_i))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
(*.f32 (-.f32 (*.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 868 |
| 0 | 125 | 868 |
| 1 | 495 | 811 |
| 2 | 4071 | 811 |
| 0 | 8323 | 795 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i) |
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) |
(-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u) |
(-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) |
(*.f32 #s(literal 7/360 binary32) n1_i) |
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) |
(*.f32 (*.f32 normAngle normAngle) n1_i) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(-.f32 (pow.f32 u #s(literal 3 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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (*.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u) n0_i)) |
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(fma.f32 (*.f32 u (fabs.f32 normAngle)) (*.f32 u (fabs.f32 normAngle)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 u (neg.f32 normAngle)) (*.f32 u (neg.f32 normAngle)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 u (neg.f32 normAngle)) (*.f32 u (neg.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 u (neg.f32 normAngle)) (*.f32 u (neg.f32 normAngle)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (neg.f32 normAngle) normAngle)) |
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(fma.f32 (*.f32 (fabs.f32 normAngle) u) (*.f32 (fabs.f32 normAngle) u) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 (fabs.f32 normAngle) u) (*.f32 (fabs.f32 normAngle) u) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
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(fma.f32 (*.f32 (neg.f32 normAngle) u) (*.f32 (neg.f32 normAngle) u) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
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(fma.f32 (*.f32 (neg.f32 normAngle) u) (*.f32 (neg.f32 normAngle) u) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 normAngle (fabs.f32 u)) (*.f32 normAngle (fabs.f32 u)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
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(fma.f32 (*.f32 normAngle (fabs.f32 u)) (*.f32 normAngle (fabs.f32 u)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (neg.f32 (*.f32 normAngle u)) (neg.f32 (*.f32 normAngle u)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
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(fma.f32 (neg.f32 (*.f32 normAngle u)) (neg.f32 (*.f32 normAngle u)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (fabs.f32 (*.f32 normAngle u)) (fabs.f32 (*.f32 normAngle u)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
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(fma.f32 (fabs.f32 (*.f32 normAngle u)) (fabs.f32 (*.f32 normAngle u)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) u (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) u (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) u (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 (*.f32 u u) normAngle) normAngle (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 (*.f32 u u) normAngle) normAngle (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 (*.f32 u u) normAngle) normAngle (*.f32 (neg.f32 normAngle) normAngle)) |
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(fma.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (*.f32 u u)) (*.f32 (neg.f32 normAngle) normAngle)) |
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(fma.f32 (neg.f32 normAngle) normAngle (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32))) |
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(fma.f32 (*.f32 u u) (*.f32 normAngle normAngle) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u u) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u u) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 normAngle normAngle) (*.f32 u u) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 (*.f32 normAngle u) (*.f32 normAngle u) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 (*.f32 normAngle u) (*.f32 normAngle u) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 (*.f32 normAngle u) (*.f32 normAngle u) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 normAngle (*.f32 (*.f32 u u) normAngle) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 normAngle (*.f32 (*.f32 u u) normAngle) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 normAngle (*.f32 (*.f32 u u) normAngle) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 normAngle (neg.f32 normAngle) (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32))) |
(fma.f32 u (*.f32 normAngle (*.f32 normAngle u)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 u (*.f32 normAngle (*.f32 normAngle u)) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 u (*.f32 normAngle (*.f32 normAngle u)) (*.f32 (neg.f32 normAngle) normAngle)) |
(fma.f32 u (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(fma.f32 u (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(fma.f32 u (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (neg.f32 normAngle) normAngle)) |
(+.f32 (*.f32 (neg.f32 normAngle) normAngle) (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32))) |
(+.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)) (*.f32 (neg.f32 (fabs.f32 normAngle)) (fabs.f32 normAngle))) |
(+.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)) (*.f32 (neg.f32 (neg.f32 normAngle)) (neg.f32 normAngle))) |
(+.f32 (pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)) (*.f32 (neg.f32 normAngle) normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle)) n1_i) u)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle)) n1_i) u))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (-.f32 (*.f32 (*.f32 u u) normAngle) normAngle)) n1_i) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i)))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i))) |
#s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i)) |
(*.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) n1_i) |
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(/.f32 (-.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (*.f32 (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32)) #s(literal -1/216 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 2 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) |
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (*.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) n0_i) #s(literal 1/6 binary32)) (-.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i))))) |
(-.f32 (/.f32 (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i)) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) |
(-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/2 binary32) n0_i)) |
(-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 (neg.f32 n0_i) #s(literal 1/2 binary32))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 (neg.f32 (-.f32 n1_i n0_i)) #s(literal 1/6 binary32))) |
(-.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i)) |
(fma.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) |
(fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) |
(+.f32 (/.f32 (*.f32 #s(literal 1/8 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i))))) (/.f32 (pow.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i) (*.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)))))) |
(+.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/2 binary32) n0_i)) |
(+.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) |
(*.f32 (*.f32 n1_i (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 n1_i (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) n1_i)) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) n1_i)) |
(*.f32 (*.f32 normAngle normAngle) n1_i) |
(*.f32 (*.f32 n1_i normAngle) normAngle) |
(*.f32 n1_i (*.f32 normAngle normAngle)) |
(*.f32 normAngle (*.f32 n1_i normAngle)) |
(*.f32 #s(literal -1/6 binary32) n1_i) |
(*.f32 n1_i #s(literal -1/6 binary32)) |
(*.f32 (*.f32 (*.f32 u u) (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 (*.f32 u u) (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) (neg.f32 u)) (neg.f32 u)) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) (fabs.f32 u)) (fabs.f32 u)) |
(*.f32 (*.f32 (*.f32 normAngle u) u) normAngle) |
(*.f32 (*.f32 (neg.f32 u) (fabs.f32 normAngle)) (*.f32 (neg.f32 u) (fabs.f32 normAngle))) |
(*.f32 (*.f32 (neg.f32 u) (neg.f32 normAngle)) (*.f32 (neg.f32 u) (neg.f32 normAngle))) |
(*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle)) |
(*.f32 (*.f32 (fabs.f32 u) (fabs.f32 normAngle)) (*.f32 (fabs.f32 u) (fabs.f32 normAngle))) |
(*.f32 (*.f32 (fabs.f32 u) (neg.f32 normAngle)) (*.f32 (fabs.f32 u) (neg.f32 normAngle))) |
(*.f32 (*.f32 (fabs.f32 u) normAngle) (*.f32 (fabs.f32 u) normAngle)) |
(*.f32 (*.f32 u (fabs.f32 normAngle)) (*.f32 u (fabs.f32 normAngle))) |
(*.f32 (*.f32 u (neg.f32 normAngle)) (*.f32 u (neg.f32 normAngle))) |
(*.f32 (*.f32 (fabs.f32 normAngle) (neg.f32 u)) (*.f32 (fabs.f32 normAngle) (neg.f32 u))) |
(*.f32 (*.f32 (fabs.f32 normAngle) (fabs.f32 u)) (*.f32 (fabs.f32 normAngle) (fabs.f32 u))) |
(*.f32 (*.f32 (fabs.f32 normAngle) u) (*.f32 (fabs.f32 normAngle) u)) |
(*.f32 (*.f32 (neg.f32 normAngle) (neg.f32 u)) (*.f32 (neg.f32 normAngle) (neg.f32 u))) |
(*.f32 (*.f32 (neg.f32 normAngle) (fabs.f32 u)) (*.f32 (neg.f32 normAngle) (fabs.f32 u))) |
(*.f32 (*.f32 (neg.f32 normAngle) u) (*.f32 (neg.f32 normAngle) u)) |
(*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) |
(*.f32 (*.f32 normAngle (fabs.f32 u)) (*.f32 normAngle (fabs.f32 u))) |
(*.f32 (neg.f32 (*.f32 normAngle u)) (neg.f32 (*.f32 normAngle u))) |
(*.f32 (fabs.f32 (*.f32 normAngle u)) (fabs.f32 (*.f32 normAngle u))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) u) |
(*.f32 (*.f32 (*.f32 u u) normAngle) normAngle) |
(*.f32 (neg.f32 u) (*.f32 (neg.f32 u) (*.f32 normAngle normAngle))) |
(*.f32 (fabs.f32 u) (*.f32 (fabs.f32 u) (*.f32 normAngle normAngle))) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) (*.f32 u u))) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) (*.f32 u u))) |
(*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle normAngle) (*.f32 u u)) |
(*.f32 (*.f32 normAngle u) (*.f32 normAngle u)) |
(*.f32 normAngle (*.f32 (*.f32 u u) normAngle)) |
(*.f32 u (*.f32 normAngle (*.f32 normAngle u))) |
(*.f32 u (*.f32 (*.f32 normAngle normAngle) u)) |
(pow.f32 (*.f32 (neg.f32 u) (fabs.f32 normAngle)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (neg.f32 u) (neg.f32 normAngle)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fabs.f32 u) (fabs.f32 normAngle)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fabs.f32 u) (neg.f32 normAngle)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fabs.f32 u) normAngle) #s(literal 2 binary32)) |
(pow.f32 (*.f32 u (fabs.f32 normAngle)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 u (neg.f32 normAngle)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fabs.f32 normAngle) (neg.f32 u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fabs.f32 normAngle) (fabs.f32 u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (fabs.f32 normAngle) u) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (neg.f32 normAngle) (neg.f32 u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (neg.f32 normAngle) (fabs.f32 u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 (neg.f32 normAngle) u) #s(literal 2 binary32)) |
(pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 normAngle (fabs.f32 u)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) |
(pow.f32 (fabs.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 normAngle u) #s(literal 2 binary32)) |
(exp.f32 (fma.f32 (log.f32 u) #s(literal 2 binary32) (*.f32 (log.f32 normAngle) #s(literal 2 binary32)))) |
(exp.f32 (fma.f32 (log.f32 normAngle) #s(literal 2 binary32) (*.f32 (log.f32 u) #s(literal 2 binary32)))) |
(exp.f32 (*.f32 (log.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(literal -1/6 binary32))) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(literal -1/6 binary32))) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) normAngle)) |
(/.f32 (neg.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) (*.f32 u u))) (neg.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) u))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 u #s(literal 9 binary32)) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 u (+.f32 (pow.f32 u #s(literal 3 binary32)) u) (pow.f32 u #s(literal 6 binary32))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) (*.f32 u u)) (+.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(/.f32 (-.f32 (pow.f32 u #s(literal 9 binary32)) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u (+.f32 (pow.f32 u #s(literal 3 binary32)) u) (pow.f32 u #s(literal 6 binary32)))) |
(-.f32 (/.f32 (pow.f32 u #s(literal 6 binary32)) (+.f32 (pow.f32 u #s(literal 3 binary32)) u)) (/.f32 (*.f32 u u) (+.f32 (pow.f32 u #s(literal 3 binary32)) u))) |
(-.f32 (/.f32 (pow.f32 u #s(literal 9 binary32)) (fma.f32 u (+.f32 (pow.f32 u #s(literal 3 binary32)) u) (pow.f32 u #s(literal 6 binary32)))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 u (+.f32 (pow.f32 u #s(literal 3 binary32)) u) (pow.f32 u #s(literal 6 binary32))))) |
(-.f32 (pow.f32 u #s(literal 3 binary32)) u) |
Compiled 41 048 to 3 295 computations (92% saved)
19 alts after pruning (17 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 506 | 5 | 511 |
| Fresh | 0 | 12 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 510 | 19 | 529 |
| Status | Accuracy | Program |
|---|---|---|
| 98.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) | |
| 84.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)) | |
| 84.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i))) u n0_i)) | |
| 84.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i)) | |
| 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) | |
| 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 40.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 40.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) | |
| 40.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| 57.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) | |
| ✓ | 46.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
| 99.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) | |
| ✓ | 40.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
| 41.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (pow u 3) u) (neg.f32 u)) u) n1_i)))) | |
| 41.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (fma.f32 (*.f32 u u) normAngle (neg.f32 normAngle))) n1_i) u)))) | |
| 41.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u)))) |
Compiled 3 615 to 1 056 computations (70.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (pow u 3) u) (neg.f32 u)) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (fma.f32 (*.f32 u u) normAngle (neg.f32 normAngle))) 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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) u) n0_i) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 (fma.f32 (*.f32 n0_i #s(literal -1/3 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 n1_i #s(literal -7/360 binary32) (*.f32 #s(literal 1/24 binary32) n0_i))) (*.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) u)) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 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 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (*.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (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 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_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)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 n1_i normAngle) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle)) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
5 calls:
| 28.0ms | u |
| 11.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 11.0ms | n1_i |
| 11.0ms | normAngle |
| 10.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.5% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.5% | 1 | normAngle |
| 99.5% | 1 | u |
| 99.5% | 1 | n0_i |
| 99.5% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (pow u 3) u) (neg.f32 u)) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (fma.f32 (*.f32 u u) normAngle (neg.f32 normAngle))) 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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
5 calls:
| 39.0ms | n0_i |
| 6.0ms | (+.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)) |
| 6.0ms | n1_i |
| 6.0ms | u |
| 5.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (pow u 3) u) (neg.f32 u)) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (fma.f32 (*.f32 u u) normAngle (neg.f32 normAngle))) 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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (fma.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) u (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
5 calls:
| 41.0ms | u |
| 5.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 5.0ms | normAngle |
| 5.0ms | n0_i |
| 5.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 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)) |
| 99.3% | 1 | normAngle |
| 99.3% | 1 | u |
| 99.3% | 1 | n0_i |
| 99.3% | 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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (pow u 3) u) (neg.f32 u)) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (*.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 normAngle (fma.f32 (*.f32 u u) normAngle (neg.f32 normAngle))) n1_i) 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 (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
5 calls:
| 16.0ms | normAngle |
| 5.0ms | n1_i |
| 5.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 4.0ms | u |
| 4.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) #s(approx (+ (* (* (* -1/6 n1_i) (- (pow u 3) u)) (* normAngle normAngle)) (* n1_i u)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (pow u 3) u) (neg.f32 u)) u) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (/ (+ (* (/ n0_i n1_i) (sin (* (- 1 u) normAngle))) (sin (* normAngle u))) (sin normAngle)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i 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 | normAngle |
| 4.0ms | n1_i |
| 4.0ms | u |
| 4.0ms | n0_i |
| 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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #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)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
5 calls:
| 24.0ms | n1_i |
| 23.0ms | n0_i |
| 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 | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.7% | 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)) |
| 57.7% | 1 | normAngle |
| 57.7% | 1 | u |
| 74.0% | 3 | n0_i |
| 74.9% | 3 | 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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) |
2 calls:
| 1.0ms | n1_i |
| 1.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.1% | 3 | n0_i |
| 64.8% | 3 | n1_i |
Compiled 2 to 8 computations (-300% 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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
5 calls:
| 36.0ms | n0_i |
| 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 | u |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.9% | 1 | normAngle |
| 40.9% | 1 | u |
| 40.9% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 40.9% | 1 | n1_i |
| 40.9% | 1 | n0_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.443942168060657e-12 | 1.2077144839750531e-11 |
| 0.0ms | -3.836032306331496e-18 | -3.1962579401536354e-18 |
Compiled 28 to 24 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.652160743015701e-16 | 3.302171709156283e-16 |
| 0.0ms | -2.2470219168335214e-19 | -1.8810845809173925e-19 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 123 | 572 |
| 1 | 236 | 530 |
| 2 | 527 | 488 |
| 3 | 1520 | 484 |
| 4 | 3485 | 480 |
| 5 | 5545 | 480 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
(if (<=.f32 n1_i #s(literal -8462481/2417851639229258349412352 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 11529215/1152921504606846976 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))))) |
(if (<=.f32 n0_i #s(literal -7737125/38685626227668133590597632 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) (if (<=.f32 n0_i #s(literal 708355/2361183241434822606848 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i 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 (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (* u (* -1/2 n0_i)) (* normAngle normAngle)) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle))) (-.f32 (fma.f32 #s(approx (- (+ (* (* n0_i u) -1/2) (* -1/6 n0_i)) (+ (* -1/2 n0_i) (* -1/6 n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
(if (<=.f32 n1_i #s(literal -8462481/2417851639229258349412352 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 11529215/1152921504606846976 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))))) |
(if (or (<=.f32 n1_i #s(literal -8462481/2417851639229258349412352 binary32)) (not (<=.f32 n1_i #s(literal 11529215/1152921504606846976 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
(if (<=.f32 n0_i #s(literal -7737125/38685626227668133590597632 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) (if (<=.f32 n0_i #s(literal 708355/2361183241434822606848 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))))) |
(if (or (<=.f32 n0_i #s(literal -7737125/38685626227668133590597632 binary32)) (not (<=.f32 n0_i #s(literal 708355/2361183241434822606848 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- (+ (* n1_i (/ u n0_i)) 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)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1535 |
| 1 | 1092 | 1412 |
| 2 | 4415 | 1356 |
| 0 | 8208 | 1277 |
| 0 | 806 | 3878 |
| 1 | 2783 | 3662 |
| 0 | 8251 | 3428 |
| 0 | 916 | 5254 |
| 1 | 3250 | 5028 |
| 0 | 8113 | 4674 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 572 to 130 computations (77.3% saved)
(abs normAngle)
Compiled 1 368 to 398 computations (70.9% saved)
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