
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 1.6s | 8 256× | 0 | valid |
| 638.0ms | 2 082× | 0 | invalid |
ival-sin: 472.0ms (27% of total)ival-mult: 423.0ms (24.2% of total)ival-<=: 242.0ms (13.9% of total)const: 192.0ms (11% of total)ival-div: 165.0ms (9.4% of total)ival-sub: 61.0ms (3.5% of total)ival-pi: 60.0ms (3.4% of total)ival-and: 54.0ms (3.1% of total)ival-add: 48.0ms (2.7% of total)exact: 21.0ms (1.2% of total)adjust: 4.0ms (0.2% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 0 | - | 29 | (4.263798772350671e-37 9.489673935547671e-9 1.36621185205988e-35 -2.1695771216434866e-17) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 1 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 1 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 2 | 20 |
| - | 0 | 234 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 2 | 0 | 20 |
| - | 0 | 0 | 234 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 1 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 97.0ms | 496× | 0 | valid |
| 4.0ms | 16× | 1 | valid |
Compiled 231 to 55 computations (76.2% saved)
ival-mult: 23.0ms (50.9% of total)ival-sin: 12.0ms (26.6% of total)ival-div: 4.0ms (8.9% of total)ival-sub: 3.0ms (6.6% of total)ival-add: 2.0ms (4.4% of total)adjust: 1.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 284 | 302 |
| 2 | 845 | 268 |
| 3 | 2771 | 253 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 49 | 21 |
| 2 | 113 | 18 |
| 3 | 336 | 18 |
| 4 | 1247 | 18 |
| 5 | 4673 | 18 |
| 0 | 8112 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 25 to 17 computations (32% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | 113 | 86 |
| 3 | 336 | 86 |
| 4 | 1247 | 86 |
| 5 | 4673 | 86 |
| 0 | 8112 | 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 | 0.140625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.16015625 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.5107612912193948 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.7874850613342455 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 31.0ms | 248× | 0 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 11.0ms (49% of total)ival-sin: 6.0ms (26.7% of total)ival-div: 2.0ms (8.9% of total)ival-add: 1.0ms (4.5% of total)ival-sub: 1.0ms (4.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.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 | |
|---|---|---|---|---|
| 14.0ms | 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)) |
| 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)) |
| 5.0ms | u | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1541 |
| 1 | 1092 | 1416 |
| 2 | 4535 | 1410 |
| 0 | 8957 | 1307 |
| 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) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 (*.f32 (pow.f32 (+.f32 #s(literal -1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/6 binary32) (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) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) n0_i)))) (*.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 (pow.f32 (+.f32 #s(literal -1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/6 binary32) (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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i (*.f32 (*.f32 #s(literal -1/120 binary32) u) n1_i)) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) n0_i)))) (*.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) |
(-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)))) (*.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 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 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 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(* 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 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* 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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 (neg.f32 (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.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 (+.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) (*.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)))) 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 (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (*.f32 (cos.f32 normAngle) u)) u (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (neg.f32 (neg.f32 n0_i)) (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (*.f32 #s(literal 1 binary32) n1_i) (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 63 |
| 1 | 80 | 53 |
| 0 | 485 | 52 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (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 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) |
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)) |
(-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))) |
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))) |
(-.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (neg.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(fma.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 (neg.f32 normAngle)))) n1_i)) |
(+.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
Compiled 4 207 to 527 computations (87.5% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 90 | 13 | 103 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 91 | 13 | 104 |
| Status | Accuracy | Program |
|---|---|---|
| 95.5% | (fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) | |
| ▶ | 98.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 95.6% | (+.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)) | |
| 78.7% | (+.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)) | |
| 96.0% | (+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 85.2% | #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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle))) u n0_i)) | |
| ▶ | 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) |
| ▶ | 98.2% | #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))) |
| ▶ | 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| ▶ | 72.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
| 95.9% | #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)) | |
| 95.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) | |
| 36.5% | #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 1 010 to 658 computations (34.9% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) | |
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 0 | (sin.f32 (*.f32 normAngle u)) | |
| cost-diff | 0 | (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) | |
| cost-diff | 0 | (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) | |
| cost-diff | 0 | (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) | |
| cost-diff | 2 | (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.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))) | |
| cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| cost-diff | 0 | (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| 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 -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| cost-diff | 3 | (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 580 |
| 0 | 97 | 580 |
| 1 | 193 | 536 |
| 2 | 492 | 528 |
| 3 | 1655 | 520 |
| 4 | 5958 | 520 |
| 0 | 8224 | 515 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(literal -1/6 binary32) |
(-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
n1_i |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
n0_i |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(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)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i) |
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) |
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
n1_i |
normAngle |
(*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 n0_i (cos.f32 normAngle)) |
n0_i |
(cos.f32 normAngle) |
(neg.f32 normAngle) |
(sin.f32 normAngle) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
(/.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)) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
n1_i |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_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) |
n0_i |
(sin.f32 normAngle) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) 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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(*.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
(-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) |
(fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) |
(pow.f32 u #s(literal 3 binary32)) |
u |
#s(literal 3 binary32) |
n1_i |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
n0_i |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 normAngle normAngle) |
normAngle |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(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)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.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)) (fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) n0_i)) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) |
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
n1_i |
normAngle |
(*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle)) |
(*.f32 n0_i (cos.f32 normAngle)) |
(*.f32 (cos.f32 normAngle) n0_i) |
n0_i |
(cos.f32 normAngle) |
(neg.f32 normAngle) |
(sin.f32 normAngle) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 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)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
n1_i |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_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) |
n0_i |
(sin.f32 normAngle) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09994125976844201 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.140625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.16015625 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.5107612912193948 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.09765625 | (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) | |
| accuracy | 0.1171875 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) | |
| accuracy | 0.140625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 8.66153757491038 | (/.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)) | |
| accuracy | 0.04059498993272953 | (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i) | |
| accuracy | 0.05078125 | (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) | |
| accuracy | 0.08209757667191418 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) | |
| accuracy | 7.500238612665858 | (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.15625 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.423368120243346 | #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))) | |
| accuracy | 0.19090901928482645 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| accuracy | 0.38671875 | (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| accuracy | 0.5931625976844203 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 7.307707611699277 | (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 105.0ms | 244× | 0 | valid |
| 9.0ms | 12× | 1 | valid |
Compiled 498 to 51 computations (89.8% saved)
ival-mult: 38.0ms (45.6% of total)ival-add: 11.0ms (13.2% of total)ival-sin: 8.0ms (9.6% of total)ival-div: 7.0ms (8.4% of total)ival-pow: 6.0ms (7.2% of total)const: 4.0ms (4.8% of total)ival-sub: 3.0ms (3.6% of total)adjust: 2.0ms (2.4% of total)ival-cos: 2.0ms (2.4% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(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) |
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i) |
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.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 (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))) |
(/.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)) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) 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))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))))))))))))) |
(* 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)))))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(sin (* normAngle u)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
1 |
(+ 1 (* -1 u)) |
(* n1_i u) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ n0_i (* -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)))))))) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i (sin (* normAngle u))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* 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 (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 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 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | u | @ | 0 | ((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (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) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i)) |
| 7.0ms | normAngle | @ | -inf | ((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (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) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i)) |
| 7.0ms | normAngle | @ | 0 | ((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (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) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i)) |
| 7.0ms | n0_i | @ | inf | ((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (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) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i)) |
| 6.0ms | u | @ | inf | ((- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (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) (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* (sin (* (- 1 u) normAngle)) n0_i)) (sin (* normAngle u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) n0_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1014 | 5460 |
| 1 | 3815 | 5388 |
| 0 | 8964 | 5050 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))))))))))))) |
(* 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)))))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(sin (* normAngle u)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
1 |
(+ 1 (* -1 u)) |
(* n1_i u) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ n0_i (* -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)))))))) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(* n1_i normAngle) |
(+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle))) |
(/ (* n1_i normAngle) (sin normAngle)) |
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) |
(* n1_i (sin (* normAngle u))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i (* normAngle (cos normAngle)))) |
(* n0_i (+ (* -1 (* normAngle (cos normAngle))) (/ (* n1_i normAngle) n0_i))) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* 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 (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 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 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
| 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 binary32) u) n0_i (fma.f32 (fma.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 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.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 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 (*.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)) #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 -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.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 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal -1/6 binary32)))) #s(literal -1/6 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 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))))))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)) #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 -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.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))) |
(* normAngle (+ n1_i (* -1 n0_i))) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* 1/2 (* n0_i (pow normAngle 2)))))) |
(*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/24 (* n0_i (pow normAngle 2))) (* 1/2 n0_i)))))) |
(*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle) |
(* normAngle (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/2 n0_i) (* (pow normAngle 2) (+ (* -1/24 n0_i) (* 1/720 (* n0_i (pow normAngle 2)))))))))) |
(*.f32 (+.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 1/720 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal -1/24 binary32) n0_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (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 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal 1/120 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 n0_i u) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)))) (*.f32 normAngle normAngle))) |
(+ n1_i (* -1 n0_i)) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 1/120 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (fma.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 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.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 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (fma.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 n1_i u)))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.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))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.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 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (fma.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 n1_i u)))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) #s(literal -1/6 binary32) (fma.f32 (fma.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 n1_i u)))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 (fma.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 n1_i u)))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (*.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 normAngle normAngle) (*.f32 n1_i u))) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))))))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (fma.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 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))))))))))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 (fma.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 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)) (*.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 n1_i u))) normAngle) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #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) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) 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 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 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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.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)) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle) |
(* n0_i (* normAngle (- 1 u))) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(*.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 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 normAngle normAngle)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) |
(*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* 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)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(* -1 (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i))) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) u) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(/.f32 (*.f32 (neg.f32 normAngle) (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i))) (sin.f32 normAngle)) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (sin.f32 normAngle)) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (neg.f32 n0_i)) n1_i) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u))) n1_i) u n0_i) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) u) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(*.f32 (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal -1/6 binary32))) u)) u) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n0_i (sin normAngle)) |
(*.f32 (sin.f32 normAngle) n0_i) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 (sin.f32 normAngle) u)) #s(literal -1/2 binary32) (*.f32 normAngle n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) u (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))) u (*.f32 normAngle n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) u) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 u u) normAngle) u) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u)) u #s(literal 1 binary32)) |
(+ n0_i (* -1 (/ (* n0_i (* 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 (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)))) u n0_i) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) u)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (sin.f32 normAngle))) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) u (sin.f32 normAngle)) |
(+ 1 (* -3 u)) |
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* 3 u) 3))) |
(fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -3 binary32)) u #s(literal 1 binary32)) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(-.f32 normAngle (*.f32 normAngle u)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) u) (*.f32 normAngle normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i)) n1_i) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (-.f32 (+.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i))) n1_i) (/.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (pow.f32 u #s(literal 3 binary32)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) n1_i) (*.f32 u u))))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
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(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (-.f32 (/.f32 (*.f32 normAngle n1_i) n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (sin.f32 normAngle)) n0_i) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(*.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(*.f32 (-.f32 (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) n0_i))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 n1_i u)) (neg.f32 n0_i)))) (neg.f32 n0_i)) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(*.f32 (fma.f32 (-.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) n0_i) #s(literal 1/6 binary32))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) n0_i)) (* normAngle (cos normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle n0_i) (*.f32 (cos.f32 normAngle) normAngle)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(*.f32 (-.f32 (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) #s(literal 1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(*.f32 (-.f32 (fma.f32 (neg.f32 (/.f32 n1_i n0_i)) (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle))) #s(literal 1 binary32)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 n0_i)) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(-.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(*.f32 (*.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)) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) |
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))) |
(+.f32 (/.f32 (fma.f32 (*.f32 normAngle n1_i) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (*.f32 (cos.f32 normAngle) u))) (sin.f32 normAngle)) n0_i) |
(* n1_i (- (pow u 3) u)) |
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) n1_i)) n1_i) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) 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 (+ normAngle (* -1 (/ (* n0_i (* normAngle (cos normAngle))) n1_i)))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) n1_i) normAngle) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) n1_i) |
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) n1_i) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.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) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(*.f32 (-.f32 (neg.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 u)) (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 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) u (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (neg.f32 n1_i)))) (neg.f32 n1_i)) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) n1_i) #s(literal 1/6 binary32)) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 normAngle) (/ (* 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 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 427 |
| 0 | 97 | 427 |
| 1 | 331 | 387 |
| 0 | 2499 | 386 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(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) |
(fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) |
(fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i) |
(/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.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 (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))) |
(/.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)) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))) (+.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) |
(/.f32 (-.f32 (pow.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32))) (fma.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (*.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))))) (*.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))) |
(/.f32 (-.f32 (*.f32 (-.f32 (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))) (*.f32 (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 (+.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 (fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))))) (*.f32 (fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))) |
(/.f32 (-.f32 (*.f32 (+.f32 (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))) (*.f32 (fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))))) (*.f32 (fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) #s(literal 2 binary32))) (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32))) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) |
(/.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 3 binary32))) (fma.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)))) |
(-.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(-.f32 (/.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) (/.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 2 binary32)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))) |
(-.f32 (/.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32)) (fma.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) #s(literal 3 binary32)) (fma.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32))))) |
(-.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i u)) |
(-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) n0_i (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
(fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (-.f32 #s(literal 1 binary32) u) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (*.f32 n1_i (pow.f32 u #s(literal 3/2 binary32))) (pow.f32 u #s(literal 3/2 binary32)) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (*.f32 n1_i (*.f32 u u)) u (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) n0_i) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (pow.f32 u #s(literal 3/2 binary32)) (*.f32 (pow.f32 u #s(literal 3/2 binary32)) n1_i) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (*.f32 u u) (*.f32 n1_i u) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (*.f32 n1_i u) (*.f32 u u) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n0_i) (-.f32 (*.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(fma.f32 u (*.f32 (*.f32 u u) n1_i) (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))) |
(+.f32 (-.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) (*.f32 n1_i (pow.f32 u #s(literal 3 binary32)))) |
(+.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 u) n1_i)) |
(+.f32 (-.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 n1_i) u)) |
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(/.f32 (-.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) #s(literal 2 binary32))) (fma.f32 normAngle n1_i (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle))) |
(/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle) #s(literal 3 binary32))) (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (*.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)))))) |
(/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle) #s(literal 3 binary32))) (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 normAngle n1_i)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (fma.f32 normAngle n1_i (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle))) (/.f32 (pow.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) #s(literal 2 binary32)) (fma.f32 normAngle n1_i (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)))) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 (neg.f32 normAngle)) (*.f32 (cos.f32 normAngle) n0_i))) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 n0_i) (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)))) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) |
(-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle)) (neg.f32 normAngle))) |
(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 (neg.f32 normAngle) n1_i)) |
(-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 (neg.f32 n1_i) normAngle)) |
(fma.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) n0_i (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle)) normAngle (*.f32 normAngle n1_i)) |
(fma.f32 (neg.f32 normAngle) (*.f32 (cos.f32 normAngle) n0_i) (*.f32 normAngle n1_i)) |
(fma.f32 (*.f32 (cos.f32 normAngle) n0_i) (neg.f32 normAngle) (*.f32 normAngle n1_i)) |
(fma.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle)) (*.f32 normAngle n1_i)) |
(fma.f32 normAngle n1_i (*.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle))) (neg.f32 normAngle))) |
(fma.f32 normAngle n1_i (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle))) |
(fma.f32 n0_i (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (*.f32 normAngle n1_i)) |
(fma.f32 n1_i normAngle (*.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle))) (neg.f32 normAngle))) |
(fma.f32 n1_i normAngle (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle))) |
(+.f32 (/.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 normAngle n1_i)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)))) (/.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 normAngle n1_i)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))))) |
(+.f32 (*.f32 normAngle n1_i) (*.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle))) (neg.f32 normAngle))) |
(+.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.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 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i)) |
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i)) |
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle)) (*.f32 u n0_i))))) |
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i)) (/.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i))) |
(-.f32 n0_i (*.f32 (neg.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle))) u)) |
(-.f32 n0_i (*.f32 (neg.f32 u) (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle)) u n0_i) |
(fma.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)) n0_i) |
(fma.f32 u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle)) n0_i) |
(+.f32 (/.f32 (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle))) n0_i) |
(+.f32 n0_i (*.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (/.f32 u (sin.f32 normAngle)))) |
(/.f32 (-.f32 (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)))) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)))) (neg.f32 (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (fma.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)))) (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))) |
(/.f32 (-.f32 (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) #s(literal 2 binary32))) (*.f32 (fma.f32 normAngle n1_i (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle))) |
(/.f32 (+.f32 (neg.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle) #s(literal 3 binary32))) (pow.f32 (*.f32 normAngle n1_i) #s(literal 3 binary32))) (*.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (-.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (*.f32 normAngle n1_i)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 normAngle)) |
(-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle)) (neg.f32 normAngle)) (sin.f32 normAngle))) |
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) n0_i) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 (*.f32 (cos.f32 normAngle) n0_i) (/.f32 (neg.f32 normAngle) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))) |
(fma.f32 n0_i (/.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))) |
(+.f32 (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) |
(+.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (cos.f32 normAngle)) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (neg.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle))) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) n0_i) normAngle)) (sin.f32 (neg.f32 normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.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))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)))) (neg.f32 (sin.f32 (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 normAngle) (*.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i))) (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) |
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(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)))) (neg.f32 (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32))) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))) (/.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)))) |
(-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)) |
(-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i))) |
(-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) |
(-.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i)) |
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(+.f32 (/.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (-.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (neg.f32 (neg.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) n1_i)) |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n0_i)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (-.f32 #s(literal 1 binary32) u) (PI.f32))) n0_i) (sin.f32 (neg.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (sin.f32 normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32))) |
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) |
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 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) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
Compiled 44 964 to 3 305 computations (92.6% saved)
25 alts after pruning (24 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 677 | 24 | 701 |
| Fresh | 8 | 0 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 689 | 25 | 714 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u))) | |
| 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 72.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) | |
| ✓ | 98.2% | #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))) |
| 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| ▶ | 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) | |
| 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))) | |
| 36.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) | |
| 81.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) | |
| 98.3% | #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 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 72.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle))) | |
| 72.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) | |
| 28.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))) | |
| 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle))))) | |
| ▶ | 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) |
| ▶ | 36.2% | #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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
| 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) | |
| 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))) u n0_i))) | |
| ▶ | 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))) |
Compiled 2 758 to 1 616 computations (41.4% saved)
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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) | |
| cost-diff | 0 | (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))) | |
| cost-diff | 0 | (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (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 -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| cost-diff | 2 | (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) | |
| cost-diff | 2 | (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) | |
| cost-diff | 0 | (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) | |
| cost-diff | 0 | (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) 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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) | |
| cost-diff | 0 | (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) | |
| cost-diff | 1 | (fma.f32 #s(literal -1 binary32) n0_i n1_i) | |
| cost-diff | 2 | (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) | |
| cost-diff | 2 | (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) | |
| 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) | |
| cost-diff | 5 | (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 91 | 1118 |
| 0 | 141 | 1118 |
| 1 | 303 | 1087 |
| 2 | 924 | 1011 |
| 3 | 4173 | 922 |
| 0 | 8310 | 883 |
| 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
#s(literal 1/2 binary32) |
n0_i |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
#s(literal 1/6 binary32) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
#s(literal -1 binary32) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
#s(literal 1/120 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(neg.f32 n0_i) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
#s(literal -1 binary32) |
n0_i |
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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
n0_i |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) |
#s(literal -1/6 binary32) |
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)) |
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u) |
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) |
(-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) |
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) |
#s(literal -3 binary32) |
n0_i |
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32)) |
(*.f32 n0_i u) |
u |
#s(literal 3 binary32) |
n1_i |
(neg.f32 n0_i) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(*.f32 n1_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
#s(literal -1/6 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) |
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal 3 binary32) |
n0_i |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (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 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (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 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(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 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(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 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(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 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) |
#s(literal 1/2 binary32) |
n0_i |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(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))) (*.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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(-.f32 (*.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) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
(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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32))) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(-.f32 n1_i n0_i) |
#s(literal -1 binary32) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 |
(neg.f32 n0_i) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) |
(*.f32 (-.f32 n1_i n0_i) u) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(-.f32 n1_i n0_i) |
#s(literal -1 binary32) |
n0_i |
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 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) |
n0_i |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) |
(*.f32 #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)) |
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u)) |
(*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u) |
(*.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) u) |
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) |
(-.f32 (fma.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i n0_i) n1_i) |
(-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) |
(-.f32 (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i) n1_i) |
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) |
(*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i) |
#s(literal -3 binary32) |
n0_i |
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32)) |
(*.f32 n0_i u) |
u |
#s(literal 3 binary32) |
n1_i |
(neg.f32 n0_i) |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(*.f32 n1_i u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i) |
(*.f32 (-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(-.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) u) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) |
(fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)) |
(*.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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) |
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
#s(literal 3 binary32) |
n0_i |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.19090901928482645 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))) | |
| accuracy | 0.5853500976844203 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 12.453565169314844 | #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)) | |
| accuracy | 13.233114036074841 | (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) | |
| accuracy | 0.26171875 | (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) | |
| accuracy | 0.30078125 | (*.f32 (*.f32 n0_i u) #s(literal 3 binary32)) | |
| accuracy | 0.3828125 | (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) | |
| accuracy | 4.073112915232055 | #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)) | |
| accuracy | 0.15625 | (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) | |
| accuracy | 0.171875 | (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) | |
| accuracy | 0.171875 | (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) | |
| accuracy | 0.423368120243346 | #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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) | |
| accuracy | 0.0 | (fma.f32 #s(literal -1 binary32) n0_i n1_i) | |
| accuracy | 0.09375 | (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) | |
| accuracy | 0.423368120243346 | #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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) | |
| accuracy | 19.792132345151348 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) | |
| accuracy | 0.33203125 | (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) | |
| accuracy | 0.42460644536884046 | (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) | |
| accuracy | 0.46875 | (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) | |
| accuracy | 0.6435737793053261 | (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
| 203.0ms | 243× | 0 | valid |
| 18.0ms | 5× | 5 | exit |
| 10.0ms | 8× | 1 | valid |
Compiled 802 to 85 computations (89.4% saved)
ival-mult: 81.0ms (40% of total)const: 54.0ms (26.7% of total)ival-add: 20.0ms (9.9% of total)adjust: 13.0ms (6.4% of total)ival-sin: 10.0ms (4.9% of total)ival-sub: 9.0ms (4.4% of total)ival-div: 6.0ms (3% of total)ival-pow: 5.0ms (2.5% of total)ival-cos: 2.0ms (1% of total)ival-neg: 2.0ms (1% of total)exact: 1.0ms (0.5% 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 #s(literal -1 binary32) n0_i 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) |
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)) |
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) |
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32)) |
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)) |
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(- 1 u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))) |
(/ n0_i n1_i) |
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i)) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(* -3 n0_i) |
(+ (* -3 n0_i) (* 3 (* n0_i u))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
1 |
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))) |
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))) |
(/ 1 n1_i) |
(+ (* -1 (/ u n1_i)) (/ 1 n1_i)) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* 3 (* n0_i u)) |
(* -2 u) |
(* u (- (* 3 u) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))) |
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u))) |
(* u (+ 1 (* -1 (/ n0_i n1_i)))) |
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u))))) |
(* u (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u))) |
(* u (+ (* -3 (/ n0_i u)) (* 3 n0_i))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* 1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2)))) |
(* -1 (/ u n1_i)) |
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(+ (/ (* 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 (* n1_i (* u (- (/ n0_i n1_i) 1)))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1))))) |
(* -1 (* u (- (/ n0_i n1_i) 1))) |
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1))) |
(* -1 (* u (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))))) |
(* -1 (* u (+ (* -3 n0_i) (* 3 (/ n0_i u))))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(+ (* -1/36 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))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(* 1/6 n1_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u)) |
u |
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i)))) |
(* -1 n1_i) |
(- (* n0_i (- (* 3 u) 2)) n1_i) |
(* n0_i (- (* 3 u) 3)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* 1/120 n1_i) |
(+ (* -1/120 n0_i) (* 1/120 n1_i)) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(* -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 (+ 1/3 (* 1/45 (pow normAngle 2)))) |
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i)))))) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) |
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ 1 n1_i) (/ u n1_i))) |
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* n0_i (- (* 3 u) 2)) |
(* n0_i (- (+ (* -1 (/ n1_i n0_i)) (* 3 u)) 2)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/120 n0_i) |
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)) |
(* -1/6 n0_i) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* -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 (- (* -1/45 (pow normAngle 2)) 1/3))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(/ (* n0_i (- 1 u)) n1_i) |
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n0_i (+ 2 (* -3 u)))) |
(* -1 (* n0_i (+ 2 (+ (* -3 u) (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 3 (* -3 u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* -1 (* 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 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(+ (* -1/6 (+ (* -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))) |
(+ (* -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)))))) |
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) |
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(/ (- 1 u) n1_i) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(* -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 (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i)))))) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 1)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* -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 (- (* -7/360 (pow normAngle 2)) 1/6))) |
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -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 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* -1 (* 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 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | normAngle | @ | -inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) n1_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)) (* (+ (* -1 n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 33.0ms | n0_i | @ | -inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) n1_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)) (* (+ (* -1 n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 23.0ms | n0_i | @ | 0 | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) n1_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)) (* (+ (* -1 n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 7.0ms | n0_i | @ | inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) n1_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)) (* (+ (* -1 n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 6.0ms | n1_i | @ | -inf | ((+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (+ (* -1 n0_i) n1_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)) (* (+ (* -1 n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* -3 n0_i) (* (* n0_i u) 3)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (* (+ (* -1 n0_i) n1_i) 1/120) (* 1/6 (+ (* -1 n0_i) n1_i)) (/ (- 1 u) n1_i) (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* (* n0_i u) 3) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 966 | 4493 |
| 1 | 3457 | 4427 |
| 0 | 8229 | 4165 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)) |
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(- 1 u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ n1_i (* -1 n0_i))) |
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))) |
(/ n0_i n1_i) |
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i)) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(* -3 n0_i) |
(+ (* -3 n0_i) (* 3 (* n0_i u))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
1 |
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))) |
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))) |
(/ 1 n1_i) |
(+ (* -1 (/ u n1_i)) (/ 1 n1_i)) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* 3 (* n0_i u)) |
(* -2 u) |
(* u (- (* 3 u) 2)) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(+ 1 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))) |
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u))) |
(* u (+ 1 (* -1 (/ n0_i n1_i)))) |
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u))))) |
(* u (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u))) |
(* u (+ (* -3 (/ n0_i u)) (* 3 n0_i))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* 1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2)))) |
(* -1 (/ u n1_i)) |
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2))))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(+ (/ (* 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 (* n1_i (* u (- (/ n0_i n1_i) 1)))) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1))))) |
(* -1 (* u (- (/ n0_i n1_i) 1))) |
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1))) |
(* -1 (* u (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))))) |
(* -1 (* u (+ (* -3 n0_i) (* 3 (/ n0_i u))))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(+ (* -1/36 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))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(* 1/6 n1_i) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u)) |
u |
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i)))) |
(* -1 n1_i) |
(- (* n0_i (- (* 3 u) 2)) n1_i) |
(* n0_i (- (* 3 u) 3)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* 1/120 n1_i) |
(+ (* -1/120 n0_i) (* 1/120 n1_i)) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(* -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 (+ 1/3 (* 1/45 (pow normAngle 2)))) |
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i)))))) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) |
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ 1 n1_i) (/ u n1_i))) |
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i))) |
(* n0_i (- (* 3 u) 2)) |
(* n0_i (- (+ (* -1 (/ n1_i n0_i)) (* 3 u)) 2)) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/120 n0_i) |
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)) |
(* -1/6 n0_i) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* -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 (- (* -1/45 (pow normAngle 2)) 1/3))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(/ (* n0_i (- 1 u)) n1_i) |
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n0_i (+ 2 (* -3 u)))) |
(* -1 (* n0_i (+ 2 (+ (* -3 u) (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 3 (* -3 u)))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* -1 (* 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 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(+ (* -1/6 (+ (* -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))) |
(+ (* -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)))))) |
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) |
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(/ (- 1 u) n1_i) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(* -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 (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i)))))) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 1)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* -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 (- (* -7/360 (pow normAngle 2)) 1/6))) |
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -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 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* -1 (* 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 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
| Outputs |
|---|
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) |
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) n1_i n0_i) #s(literal -1/6 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i))) |
(+ (* 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 binary32) u) n0_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.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 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 (*.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)) #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 -1/6 binary32) (*.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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.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))))))) |
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(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
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(fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
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(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
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(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
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(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #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)))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
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(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
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(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) normAngle) (/.f32 n0_i normAngle) (*.f32 (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) n0_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle)) |
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) |
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(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2)))) |
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n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (fma.f32 normAngle n1_i (*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
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(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) |
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))) |
(fma.f32 (*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32) #s(literal 1 binary32)) u) n1_i n0_i) |
(/ n0_i n1_i) |
(/.f32 n0_i n1_i) |
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i)) |
(fma.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32) #s(literal 1 binary32)) u (/.f32 n0_i n1_i)) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 u n0_i) #s(literal 3 binary32))) n1_i) |
(* -3 n0_i) |
(*.f32 #s(literal -3 binary32) n0_i) |
(+ (* -3 n0_i) (* 3 (* n0_i u))) |
(fma.f32 (*.f32 u n0_i) #s(literal 3 binary32) (*.f32 #s(literal -3 binary32) n0_i)) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
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(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u))) n1_i) u n0_i) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u) n0_i n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) u n0_i) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32))) u (*.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i)) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))) |
(fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(/ 1 n1_i) |
(/.f32 #s(literal 1 binary32) n1_i) |
(+ (* -1 (/ u n1_i)) (/ 1 n1_i)) |
(/.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n1_i) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (*.f32 u n0_i) #s(literal 3 binary32) (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
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(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 u n0_i) #s(literal -1/2 binary32))) u) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(*.f32 (fma.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u)) u) |
(* 3 (* n0_i u)) |
(*.f32 (*.f32 u n0_i) #s(literal 3 binary32)) |
(* -2 u) |
(*.f32 #s(literal -2 binary32) u) |
(* u (- (* 3 u) 2)) |
(*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u) |
(* u (- (* u (+ 3 (* -1 u))) 2)) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u) |
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(*.f32 (fma.f32 (-.f32 (pow.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) n0_i) #s(literal 1/6 binary32))) (neg.f32 n0_i)) |
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) |
(fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) |
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i))) |
(fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (fma.f32 #s(literal -7/360 binary32) n1_i (*.f32 #s(literal -1/120 binary32) n0_i))) |
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) |
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) |
(-.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) |
(+ (* -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)))))) |
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle))) |
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) |
(fma.f32 #s(literal 1/3 binary32) n0_i (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle)))) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(*.f32 #s(literal 1/3 binary32) n0_i) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) n1_i) |
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) |
(fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 u n0_i) #s(literal 3 binary32))) |
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u))))) |
(fma.f32 #s(literal -2 binary32) n0_i (fma.f32 (*.f32 #s(literal 3 binary32) n0_i) u (neg.f32 n1_i))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
(/ (- 1 u) n1_i) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(-.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(*.f32 (*.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)) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) |
(* -7/360 n1_i) |
(*.f32 #s(literal -7/360 binary32) n1_i) |
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360)) |
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i) #s(literal 7/360 binary32)) n1_i) |
(* 7/360 n1_i) |
(*.f32 #s(literal 7/360 binary32) 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 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) n1_i)) n1_i) |
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i)))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) n0_i)) n1_i))) 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) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32) #s(literal 1 binary32)) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) n1_i) (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle)) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(*.f32 (fma.f32 (neg.f32 n0_i) (/.f32 u n1_i) u) n1_i) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 1)) |
(*.f32 (-.f32 (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 u n0_i) #s(literal 3 binary32))) n1_i) #s(literal 1 binary32)) n1_i) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) 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 (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (+.f32 (fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) n1_i)) u) n1_i) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(*.f32 (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32)) 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 (- (pow u 3) u)) |
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) n1_i) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) 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 (/.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #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 (/ (- (* -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 #s(literal 1/3 binary32) n0_i) #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 (- (* -7/360 (pow normAngle 2)) 1/6))) |
(*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6))) |
(*.f32 (-.f32 (fma.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle))) (neg.f32 n1_i))) #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)) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) n1_i) (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 u n1_i) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 u n0_i) #s(literal 3 binary32))) n1_i) #s(literal -1 binary32) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) u (fma.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (neg.f32 n1_i)))) (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 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(*.f32 (-.f32 (neg.f32 (+.f32 (pow.f32 u #s(literal 3 binary32)) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 u)) (neg.f32 n1_i)) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) n1_i) #s(literal 1/6 binary32)) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i) #s(literal 1/6 binary32) (*.f32 (*.f32 #s(literal -1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 674 |
| 0 | 124 | 674 |
| 1 | 512 | 652 |
| 0 | 4566 | 634 |
| 1× | iter limit |
| 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) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 #s(literal -1 binary32) n0_i 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u)) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i 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 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) |
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) |
(fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i)) |
(*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) n0_i) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
#s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)) |
(*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) |
(*.f32 (*.f32 n0_i u) #s(literal 3 binary32)) |
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
| Outputs |
|---|
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 1/120 binary32)) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))) |
(/.f32 (fma.f32 #s(literal 1/1728000 binary32) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) |
(-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32))) |
(fma.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) |
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 1/120 binary32))) |
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 1/120 binary32))) |
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) (pow.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal 1/120 binary32))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(+.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))))) |
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(/.f32 (neg.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u)))) |
(/.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u))) |
(-.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32)))) |
(-.f32 (/.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u)))) |
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (-.f32 u #s(literal 1 binary32))) |
(fma.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (-.f32 u #s(literal 1 binary32))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (-.f32 u #s(literal 1 binary32))) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u) (-.f32 u #s(literal 1 binary32))) |
(fma.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32))) |
(fma.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32)) |
(+.f32 (-.f32 u #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) |
(+.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal -1 binary32)) |
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 u #s(literal 1 binary32))) |
(+.f32 u (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))) |
(*.f32 (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) (fabs.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 3 binary32)) (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 3 binary32))) |
(pow.f32 (exp.f32 (log.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal 3/2 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(+.f32 (cosh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (sinh.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) |
(exp.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) |
Compiled 64 043 to 5 443 computations (91.5% saved)
33 alts after pruning (31 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 701 | 20 | 721 |
| Fresh | 8 | 11 | 19 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 713 | 33 | 746 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 72.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) | |
| ✓ | 98.2% | #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))) |
| 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
| 36.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) | |
| 81.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) | |
| ▶ | 98.3% | #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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 72.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle))) | |
| 60.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) | |
| 28.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))) | |
| 32.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_i)))) | |
| 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) | |
| ✓ | 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) |
| 36.2% | #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 (neg.f32 n0_i) n1_i) u))) | |
| 37.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) | |
| 35.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) | |
| 60.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i))) | |
| 59.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) | |
| ▶ | 46.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
Compiled 4 382 to 2 477 computations (43.5% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) | |
| cost-diff | 1 | (fma.f32 #s(literal -1 binary32) n0_i n1_i) | |
| cost-diff | 1 | (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) | |
| cost-diff | 2 | (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) | |
| cost-diff | 0 | (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) | |
| cost-diff | 1 | (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| cost-diff | 0 | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 0 | #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) | |
| cost-diff | 1 | (fma.f32 #s(literal -1 binary32) n0_i n1_i) | |
| cost-diff | 1 | (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) | |
| cost-diff | 1 | (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) | |
| cost-diff | 2 | (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 1630 |
| 0 | 153 | 1626 |
| 1 | 331 | 1597 |
| 2 | 1043 | 1426 |
| 3 | 4824 | 1324 |
| 0 | 8108 | 1240 |
| 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
#s(literal 1/2 binary32) |
n0_i |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) |
(*.f32 #s(literal 1/6 binary32) n1_i) |
#s(literal 1/6 binary32) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
#s(literal -1 binary32) |
#s(literal 1/120 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(neg.f32 n0_i) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
u |
n1_i |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
(fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) |
#s(literal 7/360 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
#s(literal 1/6 binary32) |
n1_i |
(neg.f32 n0_i) |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
#s(literal 1/2 binary32) |
n0_i |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_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 |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
#s(literal 1/6 binary32) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
#s(literal -1 binary32) |
(neg.f32 n0_i) |
u |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) |
#s(literal 1/2 binary32) |
n0_i |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 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 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/24 binary32) n0_i))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
(fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) |
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) |
(*.f32 #s(literal 1/6 binary32) n1_i) |
#s(literal 1/6 binary32) |
n1_i |
#s(literal -1/6 binary32) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
(*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(-.f32 n1_i n0_i) |
#s(literal -1 binary32) |
#s(literal 1/120 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) |
(neg.f32 n0_i) |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (fma.f32 u n1_i (*.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)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
u |
n1_i |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
(fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) |
#s(literal 7/360 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
#s(literal 1/6 binary32) |
n1_i |
(neg.f32 n0_i) |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 n0_i #s(literal 1/3 binary32)))) |
#s(literal 1/2 binary32) |
n0_i |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) |
(fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) |
(*.f32 #s(literal -1/24 binary32) n0_i) |
#s(literal -1/24 binary32) |
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_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 |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) |
#s(literal 1/6 binary32) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(-.f32 n1_i n0_i) |
#s(literal -1 binary32) |
(neg.f32 n0_i) |
u |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.33203125 | (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) | |
| accuracy | 0.42460644536884046 | (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) | |
| accuracy | 0.42578125 | (*.f32 #s(literal -7/360 binary32) n1_i) | |
| accuracy | 16.49343705868827 | #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) | |
| accuracy | 0.08209757667191418 | #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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) | |
| accuracy | 0.24780416811055989 | #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) | |
| accuracy | 0.3046875 | (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) | |
| accuracy | 16.380954807665304 | #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.04296875 | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| accuracy | 0.15234375 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.423368120243346 | #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 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.16015625 | (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i) | |
| accuracy | 0.19090901928482645 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) | |
| accuracy | 9.07602851162312 | #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) | |
| accuracy | 12.453565169314844 | #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)) | |
| accuracy | 0.42460644536884046 | (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) | |
| accuracy | 0.46875 | (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) | |
| accuracy | 0.6435737793053261 | (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) | |
| accuracy | 16.383463573602747 | #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) |
| 153.0ms | 243× | 0 | valid |
| 48.0ms | 5× | 5 | exit |
| 12.0ms | 8× | 1 | valid |
Compiled 1 018 to 82 computations (91.9% saved)
ival-mult: 55.0ms (32.8% of total)adjust: 43.0ms (25.6% of total)ival-add: 20.0ms (11.9% of total)const: 19.0ms (11.3% of total)ival-pow: 7.0ms (4.2% of total)ival-sub: 6.0ms (3.6% of total)ival-sin: 6.0ms (3.6% of total)ival-div: 4.0ms (2.4% of total)ival-neg: 4.0ms (2.4% 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 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) |
(*.f32 #s(literal -7/360 binary32) n1_i) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
| Outputs |
|---|
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)) |
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))))) n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(- 1 u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* 1/6 n1_i) |
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) |
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (/ n0_i (pow normAngle 4)))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2)))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* 7/360 (* n1_i (pow normAngle 2))) |
(* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
1 |
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))) |
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ 1 (* -1 u)) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* 1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) |
(+ n1_i (+ (* 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))))) |
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
n1_i |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n1_i u) |
(/ (* n1_i (* normAngle u)) (sin 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))) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/120 n1_i) |
(+ (* -1/120 n0_i) (* 1/120 n1_i)) |
(+ (* -1/36 n1_i) (* 1/120 n1_i)) |
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2)))) |
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i)))))) |
(* 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)) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* -1/120 n0_i) |
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)) |
(* -23/360 n0_i) |
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360)) |
(* -1/6 n0_i) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* -1 (* n0_i (- (* -1/45 (pow normAngle 2)) 1/3))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3))) |
(* -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 (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45))) |
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))) |
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))) |
(+ (* -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)))))) |
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) |
(- (* (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) |
(- (* -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))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(+ 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)))) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(+ (* -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))) |
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(* -7/360 n1_i) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i)))))) |
(* 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))) |
(* 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 (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) 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 (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360)) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6))) |
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6))) |
(* -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 (/ (- (* -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 (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))) |
(* -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 (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | n0_i | @ | -inf | ((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i))) |
| 8.0ms | normAngle | @ | 0 | ((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i))) |
| 6.0ms | normAngle | @ | inf | ((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i))) |
| 6.0ms | n1_i | @ | -inf | ((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i))) |
| 5.0ms | n1_i | @ | 0 | ((+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (+ (* -1 n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) n0_i) (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* u n1_i) (* n0_i (- 1 u))) (* n0_i (- 1 u)) (- 1 u) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (* (+ (* -1 n0_i) n1_i) 1/120) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (* -7/360 n1_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* 1/6 (+ (* -1 n0_i) n1_i))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 913 | 4542 |
| 1 | 3261 | 4280 |
| 0 | 8227 | 4000 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)) |
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)))) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))))) n0_i) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(* n0_i (- 1 u)) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(- 1 u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+ n1_i (* -1 n0_i)) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(* 1/6 n1_i) |
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) |
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (/ n0_i (pow normAngle 4)))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2)))) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(* 7/360 (* n1_i (pow normAngle 2))) |
(* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
1 |
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))) |
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))) |
(+ n0_i (* -1 (* n0_i u))) |
(+ 1 (* -1 u)) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))) |
(* 1/6 (* (pow normAngle 2) (pow u 3))) |
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2)))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))) (sin normAngle)) |
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)) (sin normAngle)))))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2)))))) |
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) |
(+ n1_i (+ (* 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))))) |
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
n1_i |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* n1_i u) |
(/ (* n1_i (* normAngle u)) (sin 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))) |
(+ (* 1/6 n1_i) (* 1/3 n0_i)) |
(* 1/120 n1_i) |
(+ (* -1/120 n0_i) (* 1/120 n1_i)) |
(+ (* -1/36 n1_i) (* 1/120 n1_i)) |
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))) |
(+ (* -1/6 n0_i) (* 1/6 n1_i)) |
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2)))) |
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i)))))) |
(* 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)) |
(* 1/45 n0_i) |
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) |
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))) |
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) |
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))) |
(* 1/3 n0_i) |
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i)))) |
(* -1/120 n0_i) |
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)) |
(* -23/360 n0_i) |
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360)) |
(* -1/6 n0_i) |
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6)) |
(* -1 (* n0_i (- (* -1/45 (pow normAngle 2)) 1/3))) |
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3))) |
(* -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 (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45))) |
(* -1 (* n0_i (+ 1 (* -1 (/ 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 (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle))))) |
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3))) |
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))) |
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i))))) |
(+ (* -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)))))) |
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) |
(- (* (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) |
(- (* -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))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(+ 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)))) |
(+ (* -1/6 n0_i) (* 1/2 n0_i)) |
(+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 n0_i))) |
(+ (* -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))) |
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) |
(* -7/360 n1_i) |
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i)))))) |
(* 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))) |
(* 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 (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) 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 (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (* 1/2 (/ n0_i n1_i))))) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360)) |
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i)))) |
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6))) |
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6))) |
(* -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 (/ (- (* -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 (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))))) |
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) 1/6))) |
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))) |
(* -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 (- (* 1/6 (/ n0_i n1_i)) 1/6))) |
| Outputs |
|---|
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)) |
(fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) |
(+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i)))) n0_i) |
(-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (+ n1_i (* -1 n0_i))) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))))))) n0_i) |
(-.f32 (fma.f32 (+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) n1_i) n0_i) |
(+ (* 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 binary32) u) n0_i (fma.f32 (*.f32 (-.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))) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.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 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.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 #s(literal 1 binary32) u) n0_i (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (*.f32 (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) (*.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 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 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))))) (*.f32 normAngle normAngle))) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.f32 u n1_i))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #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))) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) (* n0_i (- 1 u))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 normAngle normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal 1 binary32)) u) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle))) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (fma.f32 (-.f32 (*.f32 (*.f32 u n0_i) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u)) n0_i) |
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i))))))) (+ (* -1/5040 (* u (+ n1_i (* -1 n0_i)))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))) (* 1/120 (* u (+ n1_i (* -1 n0_i)))))))) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) (*.f32 u n0_i)) (fma.f32 (-.f32 (*.f32 (*.f32 u n0_i) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (*.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 u n0_i) #s(literal -1/24 binary32))) (fma.f32 (fma.f32 (*.f32 u n0_i) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u))) #s(literal -1/6 binary32) (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (*.f32 (-.f32 n1_i n0_i) u)))) (*.f32 normAngle normAngle))) |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (-.f32 n1_i n0_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (+.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i)))))) (+ (* -1/5040 (+ n1_i (* -1 n0_i))) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i)))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (+ n1_i (* -1 n0_i))))) (* 1/120 (+ n1_i (* -1 n0_i))))))) (* -1/6 (+ n1_i (* -1 n0_i))))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(* 1/6 n1_i) |
(*.f32 n1_i #s(literal 1/6 binary32)) |
(+ (* 7/360 (* n1_i (pow normAngle 2))) (* 1/6 n1_i)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (* 1/120 (+ n1_i (* -1 n0_i)))))) |
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal -1/120 binary32) (-.f32 n0_i n1_i) (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32))))) |
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (+ n1_i (* -1 n0_i)) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (+ n1_i (* -1 n0_i))) (* 1/2 n0_i))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (/ n0_i (pow normAngle 4)))))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (+.f32 (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle)) (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))))) (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))))) (pow.f32 normAngle #s(literal 4 binary32))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #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)))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) |
(*.f32 (fma.f32 (-.f32 (fma.f32 (pow.f32 (-.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))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(* -1/6 (* n0_i (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 normAngle normAngle))) |
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) normAngle) (/.f32 n0_i normAngle) (*.f32 (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) n0_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle)) |
(* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2)))) |
(*.f32 (fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(/ (* normAngle (* u (+ n1_i (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)) |
(/.f32 (*.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) u) normAngle) (sin.f32 normAngle)) |
(* normAngle (+ (/ n0_i normAngle) (/ (* u (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle) |
(/ (* normAngle (+ n1_i (* -1 (* n0_i (cos normAngle))))) (sin normAngle)) |
(/.f32 (*.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) normAngle) (sin.f32 normAngle)) |
(* 7/360 (* n1_i (pow normAngle 2))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 7/360 binary32)) |
(* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/6 (/ n1_i (pow normAngle 2))))) |
(*.f32 (fma.f32 (/.f32 n1_i (*.f32 normAngle normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle)) |
(* -1 (/ (* normAngle (* u (+ (* -1 n1_i) (* n0_i (cos normAngle))))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (*.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) u) (sin.f32 normAngle))) |
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))))) |
(*.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle))) |
(* -1 (/ (* normAngle (+ (* -1 n1_i) (* n0_i (cos normAngle)))) (sin normAngle))) |
(*.f32 (neg.f32 normAngle) (/.f32 (fma.f32 (cos.f32 normAngle) n0_i (neg.f32 n1_i)) (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.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 (+.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) 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 (+.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (*.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)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(fma.f32 (+.f32 (-.f32 n1_i n0_i) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 n1_i n0_i) u))) u))) u n0_i) |
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))) |
(fma.f32 (*.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u) n0_i n0_i) |
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) u n0_i) |
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32))) u (*.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n0_i)) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))) |
(fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ n0_i (* -1 (* n0_i u))) |
(-.f32 n0_i (*.f32 u n0_i)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 3 binary32)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i) (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
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n1_i |
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(* 1/45 n0_i) |
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(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
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(- (+ (* 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) |
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(* 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))) |
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(* 7/360 n1_i) |
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(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal 1/3 binary32) #s(literal 1/6 binary32)) n1_i) |
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n1_i) |
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360)) |
(*.f32 (-.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i) #s(literal 7/360 binary32)) 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) |
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6))) |
(*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -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)) (* -7/360 (pow normAngle 2))) 1/6))) |
(*.f32 (-.f32 (fma.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle))) (neg.f32 n1_i))) #s(literal 1/6 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1))) |
(*.f32 (-.f32 (*.f32 (-.f32 (*.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 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 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (*.f32 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (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 #s(literal 1/3 binary32) n0_i) #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 (- (/ n0_i n1_i) 1))) |
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) n1_i) (sin.f32 (*.f32 u normAngle))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1 binary32) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(*.f32 (fma.f32 u #s(literal -1 binary32) (fma.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1 binary32) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) (neg.f32 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 (/ (* 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 #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 (- (* -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)) |
(* -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 (+ 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 #s(literal 1/3 binary32) n0_i) #s(literal -1/6 binary32) (*.f32 #s(literal -1/120 binary32) n0_i)) n1_i)) (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 995 |
| 0 | 148 | 991 |
| 1 | 725 | 971 |
| 2 | 6708 | 971 |
| 0 | 8615 | 924 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
#s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i) |
#s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i) |
#s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) |
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) |
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)) |
(fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32))) |
#s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) |
(*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) |
#s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) |
(*.f32 #s(literal -7/360 binary32) n1_i) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
| Outputs |
|---|
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(/.f32 (-.f32 (pow.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) (*.f32 #s(literal 1/4 binary32) (*.f32 n0_i n0_i))) (-.f32 (fma.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32))) (*.f32 n0_i #s(literal 1/2 binary32)))) |
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(*.f32 #s(literal -7/360 binary32) n1_i) |
(*.f32 n1_i #s(literal -7/360 binary32)) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))))) |
(/.f32 (neg.f32 (-.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))) |
(/.f32 (-.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))))) |
(-.f32 (/.f32 (*.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))) (/.f32 (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))))) |
(-.f32 (/.f32 (*.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)))))) (/.f32 (pow.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) #s(literal 3 binary32)) (fma.f32 #s(literal 1/576 binary32) (*.f32 n0_i n0_i) (*.f32 #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i)) (fma.f32 #s(literal -1/24 binary32) n0_i #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))))))) |
(-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) |
(*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/6 binary32)) |
(*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) |
(/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) #s(literal 1/6 binary32)) (-.f32 (neg.f32 n0_i) n1_i)) |
(/.f32 (*.f32 (fma.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 n1_i #s(literal 3 binary32))) #s(literal 1/6 binary32)) (fma.f32 n1_i (-.f32 n1_i (neg.f32 n0_i)) (*.f32 n0_i n0_i))) |
(/.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) (-.f32 (neg.f32 n0_i) n1_i)) |
(/.f32 (*.f32 #s(literal 1/6 binary32) (fma.f32 (pow.f32 n0_i #s(literal 3 binary32)) #s(literal -1 binary32) (pow.f32 n1_i #s(literal 3 binary32)))) (fma.f32 n1_i (-.f32 n1_i (neg.f32 n0_i)) (*.f32 n0_i n0_i))) |
(/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal -1/6 binary32) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(literal 1/6 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 (neg.f32 n1_i) #s(literal 1/6 binary32))) |
(-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n1_i)) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) #s(literal -1 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
(fma.f32 (neg.f32 n0_i) #s(literal 1/6 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
(fma.f32 #s(literal -1/6 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) |
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) n0_i)) |
(fma.f32 #s(literal -1 binary32) (*.f32 n0_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) |
(fma.f32 #s(literal 1/6 binary32) (neg.f32 n0_i) (*.f32 n1_i #s(literal 1/6 binary32))) |
(fma.f32 #s(literal 1/6 binary32) n1_i (*.f32 #s(literal -1/6 binary32) n0_i)) |
(fma.f32 n0_i #s(literal -1/6 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) |
(+.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32))) |
(+.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) n0_i)) |
Compiled 60 993 to 4 253 computations (93% saved)
31 alts after pruning (29 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 575 | 11 | 586 |
| Fresh | 8 | 18 | 26 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 1 | 2 |
| Total | 588 | 31 | 619 |
| Status | Accuracy | Program |
|---|---|---|
| 99.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 85.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) | |
| 72.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)) u n0_i)) | |
| ✓ | 98.2% | #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))) |
| 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 -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) #s(literal 1/120 binary32)) (-.f32 (neg.f32 n0_i) n1_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) | |
| 98.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) | |
| 99.0% | #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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) n1_i) n0_i))) u n0_i)) | |
| 81.7% | #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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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)) | |
| 36.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) | |
| 81.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) | |
| 98.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 u n0_i))))) | |
| 72.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle))) | |
| 99.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) u) n0_i)) | |
| 60.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) | |
| 28.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (sin.f32 normAngle)))) | |
| 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) | |
| 37.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) | |
| 35.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) | |
| 60.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i))) | |
| 60.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32))) n0_i))) | |
| 59.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) | |
| ✓ | 46.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
| 36.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
Compiled 6 662 to 1 773 computations (73.4% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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 (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) |
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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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
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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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) u) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 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 -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) #s(literal 1/120 binary32)) (-.f32 (neg.f32 n0_i) n1_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (/.f32 (*.f32 (*.f32 normAngle n1_i) u) (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 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 normAngle n1_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 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 #s(literal -1/6 binary32) n0_i)) (*.f32 (*.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (*.f32 n1_i #s(literal 1/6 binary32)))))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #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(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/2 binary32) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 #s(approx (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (*.f32 (+.f32 (fma.f32 (fma.f32 #s(literal -1/24 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i) normAngle)) (sin.f32 normAngle)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (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 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)) u n0_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
#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 (fma.f32 n1_i normAngle (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (neg.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)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (-.f32 normAngle (*.f32 normAngle u)))) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
#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)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.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 (*.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 |
|---|
#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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
5 calls:
| 38.0ms | (+.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)) |
| 28.0ms | n0_i |
| 23.0ms | normAngle |
| 17.0ms | u |
| 17.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.4% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.4% | 1 | normAngle |
| 99.4% | 1 | u |
| 99.4% | 1 | n0_i |
| 99.4% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
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#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 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 -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
5 calls:
| 36.0ms | 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 | n0_i |
| 11.0ms | n1_i |
| 11.0ms | 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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 (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) u) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) #s(approx (* 1/6 (+ (* -1 n0_i) n1_i)) (*.f32 #s(literal -1/6 binary32) n0_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (fma.f32 (*.f32 #s(literal 7/360 binary32) n1_i) (*.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
5 calls:
| 43.0ms | u |
| 10.0ms | (+.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)) |
| 10.0ms | n1_i |
| 10.0ms | n0_i |
| 10.0ms | normAngle |
| 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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 (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) #s(literal 1 binary32)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 3 binary32)) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) u) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) n1_i) (neg.f32 n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u n0_i) (*.f32 (fma.f32 (*.f32 n0_i u) #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) (*.f32 normAngle normAngle))))) |
| 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
5 calls:
| 48.0ms | n0_i |
| 19.0ms | normAngle |
| 9.0ms | (+.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)) |
| 9.0ms | n1_i |
| 9.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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 (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_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)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) u) (-.f32 (neg.f32 n0_i) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) #s(approx (- (+ (pow (- 1 u) 3) u) 1) (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -2 binary32)) u)) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (*.f32 (fma.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) n0_i)) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) n1_i) n0_i))) u n0_i)) |
5 calls:
| 38.0ms | (+.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)) |
| 22.0ms | n1_i |
| 7.0ms | n0_i |
| 7.0ms | u |
| 7.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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 (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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 (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) u n0_i)) |
5 calls:
| 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)) |
| 6.0ms | u |
| 6.0ms | n1_i |
| 6.0ms | n0_i |
| 5.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.0% | 1 | normAngle |
| 99.0% | 1 | u |
| 99.0% | 1 | n0_i |
| 99.0% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (neg.f32 n0_i) 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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (fma.f32 #s(literal -1 binary32) n0_i n1_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 (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i #s(approx (* n0_i (- 1 u)) (-.f32 n0_i (*.f32 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 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) 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)) #s(approx (* (+ (* -1 n0_i) n1_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
5 calls:
| 16.0ms | u |
| 5.0ms | normAngle |
| 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 | n1_i |
| 5.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.5% | 1 | normAngle |
| 98.5% | 1 | u |
| 98.5% | 1 | n0_i |
| 98.5% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) |
5 calls:
| 16.0ms | u |
| 2.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 2.0ms | n0_i |
| 2.0ms | normAngle |
| 2.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.9% | 1 | normAngle |
| 59.9% | 1 | u |
| 75.9% | 3 | n0_i |
| 70.7% | 2 | n1_i |
| 59.9% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 (-.f32 n1_i n0_i) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
5 calls:
| 2.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 2.0ms | n0_i |
| 2.0ms | u |
| 2.0ms | n1_i |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.6% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 49.9% | 2 | normAngle |
| 51.5% | 2 | u |
| 62.4% | 3 | n1_i |
| 63.9% | 3 | n0_i |
Compiled 29 to 33 computations (-13.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
4 calls:
| 1.0ms | u |
| 1.0ms | n1_i |
| 1.0ms | n0_i |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.6% | 1 | normAngle |
| 46.6% | 1 | u |
| 46.6% | 1 | n1_i |
| 46.6% | 1 | n0_i |
Compiled 4 to 16 computations (-300% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.999412246110482e-28 | 7.445431868259713e-28 |
| 0.0ms | -1.037159213874304e-24 | -5.028175744051573e-25 |
Compiled 28 to 24 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.3535030993643602e-19 | 1.3485100562412311e-18 |
| 0.0ms | -4.482219512992796e-21 | -7.404488774990583e-22 |
Compiled 28 to 24 computations (14.3% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 158 | 957 |
| 1 | 307 | 902 |
| 2 | 836 | 834 |
| 3 | 3541 | 820 |
| 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
(if (<=.f32 n0_i #s(literal -10141205/10141204801825835211973625643008 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 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 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))))) |
(if (<=.f32 n0_i #s(literal -309485/77371252455336267181195264 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) (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 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (+ (* n1_i normAngle) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(approx (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) (*.f32 #s(literal 1/6 binary32) n1_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (*.f32 #s(literal -1/24 binary32) n0_i) #s(approx (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120)) (*.f32 #s(literal -7/360 binary32) n1_i))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal -1 binary32) n0_i n1_i))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_i)) 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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) #s(approx (+ (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) (* normAngle normAngle)) (neg n0_i)) n1_i) (-.f32 (fma.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 n1_i #s(literal 1/6 binary32))) (*.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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (+.f32 (fma.f32 #s(approx (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (+ (* -1 n0_i) n1_i))) -1/6) (* (+ (* -1 n0_i) n1_i) 1/120))) (* normAngle normAngle)) (* 1/6 (+ (* -1 n0_i) n1_i)))) #s(approx (* (+ (* 7/360 (* normAngle normAngle)) 1/6) n1_i) (*.f32 n1_i #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (neg.f32 n0_i)) n1_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) (* (* n0_i (cos normAngle)) (neg normAngle))) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)) |
(if (<=.f32 n0_i #s(literal -10141205/10141204801825835211973625643008 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) (if (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 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 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))))) |
(if (or (<=.f32 n0_i #s(literal -10141205/10141204801825835211973625643008 binary32)) (not (<=.f32 n0_i #s(literal 5192297/10384593717069655257060992658440192 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) (-.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 u n1_i)))) |
(if (<=.f32 n0_i #s(literal -309485/77371252455336267181195264 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) (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 u n1_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))))) |
(if (or (<=.f32 n0_i #s(literal -309485/77371252455336267181195264 binary32)) (not (<=.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 (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 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 u n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (- (+ (* (pow u 3) n1_i) (* (pow (- 1 u) 3) n0_i)) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) n0_i))) |
| 1× | fuel |
Compiled 968 to 168 computations (82.6% saved)
(abs normAngle)
Compiled 2 170 to 480 computations (77.9% saved)
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