
Time bar (total: 11.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 2.2s | 8 256× | 0 | valid |
| 764.0ms | 2 064× | 0 | invalid |
ival-sin: 646.0ms (26.4% of total)ival-mult: 538.0ms (22% of total)const: 342.0ms (14% of total)ival-<=: 290.0ms (11.9% of total)ival-div: 260.0ms (10.6% of total)ival-add: 133.0ms (5.4% of total)ival-sub: 100.0ms (4.1% of total)ival-and: 58.0ms (2.4% of total)ival-pi: 48.0ms (2% of total)exact: 24.0ms (1% of total)ival-assert: 5.0ms (0.2% of total)adjust: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 26 | 0 | - | 25 | (4.892461854736086e-33 4.286056787261572e-10 -0.13036854565143585 1.1902446890352757e-31) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*u | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 13 |
| - | 0 | 242 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 13 |
| - | 0 | 0 | 242 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 118.0ms | 496× | 0 | valid |
| 4.0ms | 16× | 1 | valid |
Compiled 231 to 55 computations (76.2% saved)
ival-mult: 59.0ms (58.9% of total)ival-add: 18.0ms (18% of total)ival-sin: 13.0ms (13% of total)ival-sub: 5.0ms (5% of total)ival-div: 4.0ms (4% of total)adjust: 1.0ms (1% 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 | 842 | 268 |
| 3 | 2688 | 256 |
| 4 | 4855 | 252 |
| 5 | 7086 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 49 | 21 |
| 2 | 110 | 18 |
| 3 | 314 | 18 |
| 4 | 627 | 18 |
| 5 | 988 | 18 |
| 6 | 1694 | 18 |
| 7 | 3471 | 18 |
| 8 | 6895 | 18 |
| 0 | 8389 | 17 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.7% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.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 | 110 | 86 |
| 3 | 314 | 86 |
| 4 | 627 | 86 |
| 5 | 988 | 86 |
| 6 | 1694 | 86 |
| 7 | 3471 | 86 |
| 8 | 6895 | 86 |
| 0 | 8389 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
n1_i |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.15234375 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.171875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.41148378907376804 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.533258210527308 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 34.0ms | 248× | 0 | valid |
| 2.0ms | 8× | 1 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-mult: 14.0ms (54.9% of total)ival-sin: 6.0ms (23.5% of total)ival-div: 2.0ms (7.8% of total)ival-add: 1.0ms (3.9% of total)ival-sub: 1.0ms (3.9% 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 | |
|---|---|---|---|---|
| 30.0ms | 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)) |
| 9.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (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)) |
| 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)) |
| 3.0ms | 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 | 1535 |
| 1 | 1092 | 1412 |
| 2 | 4415 | 1356 |
| 0 | 8208 | 1277 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (-.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (+.f32 #s(literal -1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (/.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (sin.f32 normAngle)) u)) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u)) (cos.f32 normAngle)) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) (sin.f32 normAngle))) u #s(literal 1 binary32)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (pow.f32 u #s(literal 4 binary32)) (/.f32 (fma.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u))) (sin.f32 normAngle)) (/.f32 (fma.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) normAngle) (sin.f32 normAngle))) u) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 63 |
| 1 | 80 | 53 |
| 2 | 452 | 50 |
| 3 | 4752 | 50 |
| 0 | 8223 | 49 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 4 binary32)))) |
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(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u))) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (pow.f32 (fma.f32 u u u) #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 normAngle (+.f32 u #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) normAngle) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 normAngle (+.f32 #s(literal -1 binary32) (*.f32 u u))) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (*.f32 normAngle (neg.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
Compiled 12 529 to 932 computations (92.6% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 251 | 11 | 262 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 252 | 11 | 263 |
| Status | Accuracy | Program |
|---|---|---|
| 97.1% | (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| ▶ | 72.7% | (/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
| ▶ | 96.5% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| ▶ | 82.9% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 85.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) | |
| 85.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) | |
| ▶ | 97.8% | #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) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| 96.8% | #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)) | |
| 96.6% | #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)) | |
| 42.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
Compiled 812 to 528 computations (35% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 normAngle u) | |
| cost-diff | 0 | (sin.f32 (*.f32 normAngle u)) | |
| cost-diff | 0 | (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) | |
| cost-diff | 0 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| cost-diff | 1 | (+.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)) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 0 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) | |
| cost-diff | 1 | (+.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)) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| cost-diff | 0 | (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| 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) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| cost-diff | 1 | (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| cost-diff | 2 | (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 505 |
| 0 | 84 | 505 |
| 1 | 162 | 465 |
| 2 | 402 | 460 |
| 3 | 1352 | 456 |
| 4 | 4253 | 456 |
| 5 | 7692 | 456 |
| 0 | 8004 | 450 |
| 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) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) |
#s(literal -1/6 binary32) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(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 |
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) |
(pow.f32 u #s(literal 3 binary32)) |
n1_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 |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
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) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n1_i |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(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)) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
n1_i |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#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 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) |
(*.f32 (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) |
(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 |
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) |
(pow.f32 u #s(literal 3 binary32)) |
n1_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 |
(+.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)) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 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) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n1_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)) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 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) |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(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 (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 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
n1_i |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
n0_i |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.06640625 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.09375 | (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| accuracy | 0.171875 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 8.650405861929723 | (/.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)) | |
| accuracy | 0.078125 | (+.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)) | |
| accuracy | 0.15234375 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| accuracy | 0.29618737591634803 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 1.533258210527308 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.078125 | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| accuracy | 0.15234375 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) | |
| accuracy | 1.533258210527308 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 8.827062560823187 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.15234375 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.5535299761809032 | #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 | 0.20497518417208768 | #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) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| accuracy | 0.39453125 | (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) | |
| accuracy | 0.5697250976844203 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 7.470733053322438 | (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| 132.0ms | 248× | 0 | valid |
| 5.0ms | 8× | 1 | valid |
Compiled 457 to 42 computations (90.8% saved)
ival-mult: 64.0ms (59.6% of total)ival-sin: 13.0ms (12.1% of total)ival-sub: 8.0ms (7.4% of total)ival-pow: 8.0ms (7.4% of total)ival-add: 6.0ms (5.6% of total)const: 4.0ms (3.7% of total)ival-div: 3.0ms (2.8% of total)adjust: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#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) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (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)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -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))) |
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)))))) |
(- 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)) (+ (* 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)))))))) |
(* normAngle (- 1 u)) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (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))))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(sin (* normAngle u)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* 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 n0_i) |
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i) |
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) 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)))))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
1 |
(+ 1 (* -1 u)) |
(* n1_i u) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(* 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 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* -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)))))))) |
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))))) |
(* n1_i (pow u 3)) |
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))) |
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -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)))))))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -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))))) |
(* -1/6 (* (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 (* 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)))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2)))))) |
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2)))))) |
(+ (/ (* 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 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* -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))))) |
(* 1/6 (* (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 (+ 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)) |
(- (+ (* n0_i (- u 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))) |
(* n1_i (sin (* normAngle 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)))) |
(* 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 (- u 1)) |
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 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)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle 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 (- (* -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 u))) |
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -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 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* 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))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(- (* n1_i (- (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))))) |
(* 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 (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u)) |
(* 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 (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 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 (- (* -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 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -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 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* 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 | |
|---|---|---|---|---|
| 10.0ms | n0_i | @ | 0 | ((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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)) (/ 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)) (/ 1 (sin normAngle))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u))))) |
| 7.0ms | normAngle | @ | 0 | ((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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)) (/ 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)) (/ 1 (sin normAngle))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u))))) |
| 7.0ms | n0_i | @ | inf | ((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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)) (/ 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)) (/ 1 (sin normAngle))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u))))) |
| 6.0ms | u | @ | inf | ((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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)) (/ 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)) (/ 1 (sin normAngle))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u))))) |
| 5.0ms | u | @ | -inf | ((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (* (sin (* 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)) (/ 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)) (/ 1 (sin normAngle))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin (* normAngle u)) (* normAngle u) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 897 | 4720 |
| 1 | 3308 | 4529 |
| 0 | 8188 | 4261 |
| 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))) |
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)))))) |
(- 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)) (+ (* 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)))))))) |
(* normAngle (- 1 u)) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (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))))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(sin (* normAngle u)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* 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 n0_i) |
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i) |
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) 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)))))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
1 |
(+ 1 (* -1 u)) |
(* n1_i u) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(* 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 (* -3 u)) |
(+ 1 (* u (- (* 3 u) 3))) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(* -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)))))))) |
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))))) |
(* n1_i (pow u 3)) |
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))) |
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -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)))))))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -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))))) |
(* -1/6 (* (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 (* 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)))))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2)))))) |
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2)))))) |
(+ (/ (* 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 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* -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))))) |
(* 1/6 (* (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 (+ 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)) |
(- (+ (* n0_i (- u 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))) |
(* n1_i (sin (* normAngle 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)))) |
(* 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 (- u 1)) |
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 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)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle 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 (- (* -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 u))) |
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -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 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* 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))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(- (* n1_i (- (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))))) |
(* 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 (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u)) |
(* 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 (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 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 (- (* -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 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -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 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* 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 |
|---|
(+ (* 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 (-.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 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.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) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.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))) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32)) #s(literal -1/6 binary32) (*.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 (*.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 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 (*.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 #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)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 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 1/120 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 #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 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(+ (* 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 (-.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 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 (* 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 (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)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.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)) #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) (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))) (* 1/120 (* 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 (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)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 (-.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 (*.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)) #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 (*.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)) #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) (*.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 (*.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)) #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) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.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 -1/6 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) (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))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))))))))) |
(*.f32 (fma.f32 (fma.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))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (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))) (* (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 (fma.f32 (fma.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))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.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) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* 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)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/ (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)))) (* 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)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(- (* -1 (* u (+ n1_i (* -1 n0_i)))) n0_i) |
(-.f32 (*.f32 (neg.f32 u) (-.f32 n1_i n0_i)) n0_i) |
(- (* u (- (* n1_i (pow u 2)) (+ n1_i (* -1 n0_i)))) n0_i) |
(-.f32 (*.f32 (-.f32 (*.f32 (*.f32 u u) n1_i) (-.f32 n1_i n0_i)) u) n0_i) |
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 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (/.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))) (+ (* 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 -1/6 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)))) (sin.f32 normAngle)) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* n1_i u) |
(*.f32 n1_i u) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 normAngle (/.f32 u (sin.f32 normAngle))) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 u u) normAngle) (sin.f32 normAngle)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (sin.f32 normAngle)) (*.f32 u u) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 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 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (*.f32 (neg.f32 n0_i) (/.f32 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)))) u n0_i) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u)) u #s(literal 1 binary32)) |
(* 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 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) u) (*.f32 normAngle normAngle)) (*.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 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)) (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)))) u)) 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 (* -3 u)) |
(fma.f32 #s(literal -3 binary32) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* 3 u) 3))) |
(fma.f32 (-.f32 (*.f32 #s(literal 3 binary32) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 3 (* -1 u))) 3))) |
(fma.f32 (-.f32 (*.f32 (-.f32 #s(literal 3 binary32) u) u) #s(literal 3 binary32)) u #s(literal 1 binary32)) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i u))) u) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal -1/2 binary32) n0_i (*.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32))) u)) u) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle))) |
(+ (* 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 (cos.f32 normAngle) normAngle) (neg.f32 n0_i))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 n0_i (*.f32 u u)) #s(literal -3 binary32) (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i))) (/.f32 (-.f32 n1_i n0_i) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* n1_i (pow u 3)) |
(*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) |
(* (pow u 3) (+ n1_i (* -1 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))) |
(*.f32 (-.f32 n1_i (/.f32 (-.f32 n1_i n0_i) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (* -1 (/ n0_i (pow u 3)))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (-.f32 (-.f32 n1_i (/.f32 n0_i (pow.f32 u #s(literal 3 binary32)))) (/.f32 (-.f32 n1_i n0_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 (-.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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.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))))))) |
(*.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)) (-.f32 n1_i n0_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u))))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n1_i n0_i) (+.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u)) (/.f32 n0_i (pow.f32 u #s(literal 3 binary32))))))) (pow.f32 u #s(literal 3 binary32))) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
(* -1 (pow u 3)) |
(pow.f32 (neg.f32 u) #s(literal 3 binary32)) |
(* (pow u 3) (- (* 3 (/ 1 u)) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 3 binary32) u) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (-.f32 (-.f32 (/.f32 #s(literal 3 binary32) u) #s(literal 1 binary32)) (/.f32 #s(literal 3 binary32) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ (* 3 (/ 1 u)) (/ 1 (pow u 3))) (+ 1 (/ 3 (pow u 2))))) |
(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 #s(literal 3 binary32) u)) (+.f32 (/.f32 #s(literal 3 binary32) (*.f32 u u)) #s(literal 1 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i)) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 u u)) (-.f32 n1_i n0_i)))) (pow.f32 u #s(literal 3 binary32))) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)) u) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(*.f32 (-.f32 n0_i n1_i) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -3 binary32) (-.f32 n0_i n1_i)) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(*.f32 (+.f32 (/.f32 (fma.f32 #s(literal 3 binary32) n0_i (/.f32 (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u)) (-.f32 n0_i n1_i)) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* (pow u 3) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 n1_i)) (pow u 2)))))) |
(*.f32 (-.f32 (neg.f32 n1_i) (/.f32 (-.f32 n0_i n1_i) (*.f32 u u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* (pow u 3) (- (+ (* -1 n1_i) (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (/ n0_i (pow u 2)))))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1 binary32) n1_i (/.f32 n0_i (pow.f32 u #s(literal 3 binary32)))) (/.f32 (-.f32 n0_i n1_i) (*.f32 u u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n0_i n1_i) (pow.f32 u #s(literal 3 binary32)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (*.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -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))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -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))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (/.f32 (neg.f32 n0_i) u)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (fma.f32 (/.f32 n0_i u) #s(literal -1 binary32) (-.f32 n0_i n1_i))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -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 (* -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)) |
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 3 binary32) u)) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 3 binary32) u)) u)) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (+ 3 (* -1 (/ (- 3 (/ 1 u)) u))) u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 (-.f32 #s(literal 3 binary32) (/.f32 #s(literal 1 binary32) u)) u)) u)) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 n0_i n1_i)) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 n0_i u) (*.f32 (-.f32 n0_i n1_i) #s(literal -1/6 binary32))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -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)))))) |
(*.f32 (fma.f32 (-.f32 n0_i n1_i) #s(literal -1/6 binary32) (/.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) u) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(fma.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) n0_i (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) |
(- (+ (* n0_i (- u 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(fma.f32 (-.f32 u #s(literal 1 binary32)) n0_i (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(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)) |
(+ (* -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))) |
(fma.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 (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))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) n0_i))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(*.f32 (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) n0_i) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u)) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) n0_i) |
(* n0_i (- u 1)) |
(*.f32 (-.f32 u #s(literal 1 binary32)) n0_i) |
(* n0_i (- (+ u (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (/ (* n1_i u) n0_i)))) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 3 binary32)) n0_i) u) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) n0_i) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.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)) n0_i) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) 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) |
(* 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)) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.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 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 normAngle normAngle)) n0_i)) (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))) u) n0_i) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(* 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) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(*.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)) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) n0_i) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))) n0_i) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(*.f32 (+.f32 (-.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (neg.f32 n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
(* -1 (* n0_i (- 1 u))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* -1 (* n0_i (- (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (- 1 u))))) |
(*.f32 (+.f32 (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (neg.f32 n0_i)) (-.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)) (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.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)) (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (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 (* 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 (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)) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(literal 1/6 binary32)) |
(* -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 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) n0_i))) (neg.f32 n0_i)) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) |
(- (* n1_i (- (pow u 3) u)) (* n0_i (- 1 u))) |
(-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_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 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) |
(* 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 (- (+ (* -1 (/ (* n0_i (- 1 u)) n1_i)) (pow u 3)) u)) |
(*.f32 (-.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) (pow.f32 u #s(literal 3 binary32))) 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 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
(* 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 (+ (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) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) n1_i) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(*.f32 (+.f32 (-.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)) (pow.f32 u #s(literal 3 binary32))) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (pow u 3)) (/ (* n0_i (- 1 u)) n1_i)) (* -1 u)))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) 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)) (fma.f32 #s(literal -1 binary32) (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 (/.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) #s(literal -1 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (neg.f32 u))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (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)) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal 1/6 binary32)) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 383 |
| 0 | 84 | 383 |
| 1 | 284 | 349 |
| 2 | 2072 | 349 |
| 0 | 8432 | 347 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#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) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (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)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) |
(*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
| Outputs |
|---|
(/.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 (neg.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 (neg.f32 n1_i) u))))) |
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(fma.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 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)) (*.f32 n0_i #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 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))))) |
(+.f32 (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 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)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 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)))))))) (/.f32 (*.f32 #s(literal -1/216 binary32) (pow.f32 (-.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))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 #s(literal -1/6 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)))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 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))))))))) |
(+.f32 (*.f32 #s(literal -1/6 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)))) (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32))) |
(+.f32 (*.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (*.f32 #s(literal -1/6 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))))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(*.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 66 751 to 4 039 computations (93.9% saved)
18 alts after pruning (18 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 912 | 18 | 930 |
| Fresh | 6 | 0 | 6 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 923 | 18 | 941 |
| Status | Accuracy | Program |
|---|---|---|
| 72.7% | (/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) | |
| 71.0% | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) | |
| 85.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) | |
| 85.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) | |
| ▶ | 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| 98.8% | #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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 97.5% | #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))) | |
| 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.0% | #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)))) | |
| 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| ▶ | 97.2% | #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 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i))) |
| ▶ | 41.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
| 97.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) | |
| 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) u n0_i))) | |
| ▶ | 99.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i))) |
| 43.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) | |
| 41.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))))) | |
| ▶ | 54.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 2 142 to 1 196 computations (44.2% 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)) | |
| cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) | |
| cost-diff | 0 | (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 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 n1_i n0_i) | |
| cost-diff | 0 | (*.f32 (-.f32 n1_i n0_i) u) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_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 (-.f32 n1_i n0_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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i))) | |
| cost-diff | 1 | (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) | |
| cost-diff | 1 | (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) | |
| cost-diff | 4 | (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 1089 |
| 0 | 122 | 1089 |
| 1 | 253 | 1069 |
| 2 | 807 | 1025 |
| 3 | 4008 | 1025 |
| 0 | 8177 | 992 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i)) |
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i) |
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
#s(literal -1/6 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
(-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) |
(*.f32 #s(literal -3 binary32) n0_i) |
#s(literal -3 binary32) |
n0_i |
(-.f32 n1_i n0_i) |
n1_i |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) |
(*.f32 (-.f32 n1_i n0_i) u) |
u |
(*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
#s(literal -1/2 binary32) |
(neg.f32 n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) |
#s(literal -1/6 binary32) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
u |
(*.f32 #s(literal 3 binary32) n0_i) |
#s(literal 3 binary32) |
(*.f32 #s(literal -3 binary32) n0_i) |
#s(literal -3 binary32) |
(*.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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) u (-.f32 n1_i n0_i))) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i)) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) u (-.f32 n1_i n0_i))) u n0_i)) |
(fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i) |
(fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) u (-.f32 n1_i n0_i))) u n0_i) |
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) u (-.f32 n1_i n0_i))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) |
(fma.f32 (*.f32 #s(literal 1/6 binary32) normAngle) (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) normAngle) (fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) u (neg.f32 n0_i))) |
(*.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 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) |
(-.f32 (+.f32 n0_i (*.f32 #s(literal -3 binary32) n0_i)) n1_i) |
(*.f32 #s(literal -3 binary32) n0_i) |
#s(literal -3 binary32) |
n0_i |
(-.f32 n1_i n0_i) |
n1_i |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) u (neg.f32 n0_i)) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) |
(*.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32)) u (*.f32 #s(literal -1/2 binary32) n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
u |
(*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) |
(*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) |
(*.f32 (*.f32 normAngle normAngle) n0_i) |
#s(literal -1/2 binary32) |
(neg.f32 n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (+.f32 n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))) n1_i) u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (+.f32 n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))) n1_i) u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) |
(*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (+.f32 n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))) n1_i) u)) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (+.f32 n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))) n1_i) u)) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u) |
(*.f32 (-.f32 (+.f32 n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))) n1_i) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(-.f32 (+.f32 n0_i (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i))) n1_i) |
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
u |
(*.f32 #s(literal 3 binary32) n0_i) |
#s(literal 3 binary32) |
(*.f32 #s(literal -3 binary32) n0_i) |
#s(literal -3 binary32) |
(*.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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 | 0.20497518417208768 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 | 0.5697250976844203 | (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) | |
| accuracy | 13.608342926699319 | (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) | |
| accuracy | 14.320353987369824 | #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 | 0.20497518417208768 | #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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| accuracy | 0.26171875 | (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) | |
| accuracy | 0.266288769536884 | (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) | |
| accuracy | 0.39453125 | (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) | |
| accuracy | 0.140625 | (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) | |
| accuracy | 0.17578125 | (*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) | |
| accuracy | 0.293025040473341 | (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) | |
| accuracy | 0.5535299761809032 | #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 | (-.f32 n1_i n0_i) | |
| accuracy | 0.10546875 | (*.f32 (-.f32 n1_i n0_i) u) | |
| accuracy | 0.5535299761809032 | #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))) | |
| accuracy | 18.530419670409035 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) | |
| accuracy | 0.10546875 | (*.f32 (-.f32 n1_i n0_i) u) | |
| accuracy | 0.16015625 | (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) | |
| accuracy | 0.20497518417208768 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i))) | |
| accuracy | 0.29651129138909577 | (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) |
| 181.0ms | 246× | 0 | valid |
| 11.0ms | 10× | 1 | valid |
Compiled 759 to 69 computations (90.9% saved)
ival-mult: 47.0ms (38.5% of total)ival-add: 35.0ms (28.7% of total)const: 11.0ms (9% of total)ival-sub: 9.0ms (7.4% of total)ival-sin: 6.0ms (4.9% of total)ival-pow: 5.0ms (4.1% of total)ival-div: 4.0ms (3.3% of total)adjust: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) |
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (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 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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) |
#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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) |
(-.f32 (+.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 |
|---|
(* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) n0_i) |
(* -1 n0_i) |
(- (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i 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) |
(* -1/6 (pow normAngle 2)) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i 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)))) |
(* -1/2 (* n0_i (pow normAngle 2))) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i))))) |
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i) |
(- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) n0_i) |
(- (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) n0_i) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i))))))) 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)))) |
(* u (- n1_i 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 (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* 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)) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i) |
(* -3 n0_i) |
(+ (* -3 n0_i) (* 3 (* n0_i u))) |
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i))))) |
(* -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))) |
(* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))) |
(* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* 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))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* 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 2) (- n1_i n0_i)) |
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (* 3 (/ n0_i u)))) n0_i)) |
(* -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))))) |
(* -1 (* u (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* 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))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ (* -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))))) |
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) u))) n0_i)) |
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* 3 (/ n0_i u))) u))) n0_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))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) u))) (* n0_i (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u)) |
u |
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i)))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* -1 n1_i) |
(- (* -2 n0_i) n1_i) |
(- (* n1_i (pow u 2)) n1_i) |
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i) |
(* n1_i (pow u 2)) |
(+ (* n0_i (- (* u (+ 3 (* -1 u))) 3)) (* n1_i (pow u 2))) |
(* n0_i (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1/2 (pow normAngle 2)) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/6 (* (pow normAngle 2) u))))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))) (/ n1_i n0_i))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))))) 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 n0_i) 1)) |
(* 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 (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* -2 n0_i) |
(* n0_i (- (* -1 (/ n1_i n0_i)) 2)) |
(* n0_i (- (* u (+ 3 (* -1 u))) 2)) |
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i)))) |
(* n0_i (- (* u (+ 3 (* -1 u))) 3)) |
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 3)) |
(* -1 (* n0_i (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))) |
(* -1 (* n0_i (+ (* -1/6 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/2 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2)))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))))) |
(* -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))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(/ (* n0_i (- 1 u)) n1_i) |
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ 2 (/ n1_i n0_i)))) |
(* -1 (* n0_i (+ 2 (* u (- u 3))))) |
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3)))))) |
(* -1 (* n0_i (+ 3 (* u (- u 3))))) |
(* -1 (* n0_i (+ 3 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3)))))) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (* -1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (+ (* n1_i (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(+ n0_i (* -3 n0_i)) |
(+ n0_i (+ (* -3 n0_i) (* -1 n1_i))) |
(/ (- 1 u) n1_i) |
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) |
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/6 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i))))) (/ n0_i n1_i))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(* n1_i (- (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) (/ 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)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (/ n0_i n1_i)) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1)) |
(* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))) n1_i)) (* 1/6 (* (pow normAngle 2) u))))) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(* -1 (* n1_i (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))))) |
(* -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 (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (* -3 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1 (* -1 (pow u 2))))) |
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | n1_i | @ | 0 | ((+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (/ (- 1 u) n1_i) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 40.0ms | n0_i | @ | 0 | ((+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (/ (- 1 u) n1_i) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 11.0ms | normAngle | @ | inf | ((+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (/ (- 1 u) n1_i) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 7.0ms | u | @ | -inf | ((+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (/ (- 1 u) n1_i) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
| 7.0ms | n0_i | @ | inf | ((+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (+ (* n0_i (/ (- 1 u) n1_i)) u) n1_i) (+ (* n0_i (/ (- 1 u) n1_i)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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) (- (* -3 n0_i) (- n1_i n0_i)) (* -1/6 (* normAngle normAngle)) (/ (- 1 u) n1_i) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- (+ (pow (- 1 u) 3) u) 1) (pow (- 1 u) 3)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1051 | 5778 |
| 1 | 3789 | 5722 |
| 0 | 8236 | 5399 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) n0_i) |
(* -1 n0_i) |
(- (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i 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) |
(* -1/6 (pow normAngle 2)) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i 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)))) |
(* -1/2 (* n0_i (pow normAngle 2))) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i))))) |
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i) |
(- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) n0_i) |
(- (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) n0_i) |
(- (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i))))))) 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)))) |
(* u (- n1_i 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 (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* 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)) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i) |
(* -3 n0_i) |
(+ (* -3 n0_i) (* 3 (* n0_i u))) |
(+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i))))) |
(* -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))) |
(* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))) |
(* u (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))))) (/ n0_i (pow u 2)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* 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))))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* 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 2) (- n1_i n0_i)) |
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (* 3 (/ n0_i u)))) n0_i)) |
(* -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))))) |
(* -1 (* u (+ (* 1/6 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* 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))) |
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i))))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(* -1 (* (pow u 3) (+ (* -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))))) |
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) u))) n0_i)) |
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* 3 (/ n0_i u))) u))) n0_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))))) |
(* -1/6 (* n1_i (* (pow normAngle 2) u))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) u))) (* n0_i (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))) |
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u)) |
u |
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i)))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u))) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* -1 n1_i) |
(- (* -2 n0_i) n1_i) |
(- (* n1_i (pow u 2)) n1_i) |
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i) |
(* n1_i (pow u 2)) |
(+ (* n0_i (- (* u (+ 3 (* -1 u))) 3)) (* n1_i (pow u 2))) |
(* n0_i (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))) |
(* n0_i (+ (* -1/2 (pow normAngle 2)) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/6 (* (pow normAngle 2) u))))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))) (/ n1_i n0_i))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))))) 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 n0_i) 1)) |
(* 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 (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* -2 n0_i) |
(* n0_i (- (* -1 (/ n1_i n0_i)) 2)) |
(* n0_i (- (* u (+ 3 (* -1 u))) 2)) |
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i)))) |
(* n0_i (- (* u (+ 3 (* -1 u))) 3)) |
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 3)) |
(* -1 (* n0_i (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))) |
(* -1 (* n0_i (+ (* -1/6 (* (pow normAngle 2) u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/2 (pow normAngle 2)))))) |
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2)))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))))) |
(* -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))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(/ (* n0_i (- 1 u)) n1_i) |
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ 2 (/ n1_i n0_i)))) |
(* -1 (* n0_i (+ 2 (* u (- u 3))))) |
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3)))))) |
(* -1 (* n0_i (+ 3 (* u (- u 3))))) |
(* -1 (* n0_i (+ 3 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3)))))) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (* -1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (+ (* n1_i (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i) |
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) |
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(+ n0_i (* -3 n0_i)) |
(+ n0_i (+ (* -3 n0_i) (* -1 n1_i))) |
(/ (- 1 u) n1_i) |
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) |
(+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(* n1_i (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) n1_i)) (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/6 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i))))) (/ n0_i n1_i))) |
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))) |
(* n1_i (- (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i)))) (/ 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)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(+ u (/ (* n0_i (- 1 u)) n1_i)) |
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) |
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (/ n0_i n1_i)) 1)) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1)) |
(* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))) n1_i)) (* 1/6 (* (pow normAngle 2) u))))) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(* -1 (* n1_i (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))))) |
(* -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 (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (* -3 n0_i)) n1_i))))) |
(* -1 (* n1_i (+ 1 (* -1 (pow u 2))))) |
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2))))) |
| Outputs |
|---|
(* (pow normAngle 2) (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) |
(*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (*.f32 normAngle normAngle) n1_i) n0_i) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(- (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) n0_i) |
(-.f32 (*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (*.f32 normAngle normAngle)) 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 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)))) (*.f32 normAngle normAngle) (*.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 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 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 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 u n1_i)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) u (*.f32 #s(literal 1/120 binary32) (*.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 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 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 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) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u)) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u (/.f32 n1_i (*.f32 normAngle normAngle)))) (/.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(*.f32 (fma.f32 (/.f32 n0_i (*.f32 normAngle normAngle)) #s(literal -1 binary32) (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) u) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) n0_i)) u))) (*.f32 normAngle normAngle)) |
(+ (/ (* 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 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 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 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 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)) |
(* -1/2 (* n0_i (pow normAngle 2))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) |
(+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i))))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) |
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n0_i |
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1 |
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(* u (+ n1_i (* -1 n0_i))) |
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(*.f32 (-.f32 (/.f32 n0_i n1_i) #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)) |
(* 1/6 (* 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 (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 (* -1 (/ (+ n0_i (* -3 n0_i)) n1_i))))) |
(*.f32 (fma.f32 #s(literal 2 binary32) (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ 1 (* -1 (pow u 2))))) |
(*.f32 (fma.f32 (neg.f32 u) u #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))) |
(*.f32 (+.f32 (neg.f32 (fma.f32 u u (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))) n1_i)) (* -1 (pow u 2))))) |
(*.f32 (neg.f32 (fma.f32 u u (/.f32 (fma.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) n1_i))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 803 |
| 0 | 122 | 803 |
| 1 | 515 | 783 |
| 2 | 4576 | 783 |
| 0 | 8200 | 768 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) |
(+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (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 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (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) |
#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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) |
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) |
(fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) |
(-.f32 (+.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 -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32))) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 6 binary32))) (pow.f32 (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/36 binary32) (pow.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))))) |
(/.f32 (neg.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 6 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle))) (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 2 binary32))) (fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 6 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/4 binary32) (pow.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))))) |
(/.f32 (fma.f32 (pow.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 6 binary32)) (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle))) (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))) (/.f32 (pow.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) #s(literal 2 binary32)) (fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))))) |
(-.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) (*.f32 #s(literal 1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) |
(-.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) (*.f32 (neg.f32 (*.f32 normAngle normAngle)) (*.f32 #s(literal -1/2 binary32) n0_i))) |
(-.f32 (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle)) (neg.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (neg.f32 (*.f32 (*.f32 normAngle #s(literal -1/6 binary32)) (*.f32 normAngle (-.f32 n1_i n0_i)))) u)) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (neg.f32 (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 (neg.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (*.f32 u (-.f32 n1_i n0_i)))) |
(-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)))) |
(fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle #s(literal -1/6 binary32))) normAngle (*.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (*.f32 n0_i normAngle))) #s(literal -1/2 binary32))) |
(fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) (*.f32 normAngle #s(literal -1/6 binary32))) normAngle (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (*.f32 n0_i normAngle))) #s(literal -1/2 binary32))) |
(fma.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) (-.f32 n1_i n0_i) (*.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (*.f32 n0_i normAngle))) #s(literal -1/2 binary32))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) n0_i (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle))) |
(fma.f32 (*.f32 #s(literal -1/2 binary32) normAngle) (*.f32 n0_i normAngle) (*.f32 (*.f32 (*.f32 u (-.f32 n1_i n0_i)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (neg.f32 (*.f32 (neg.f32 normAngle) (*.f32 n0_i normAngle))) #s(literal -1/2 binary32))) |
(fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 n0_i (*.f32 normAngle normAngle)))) |
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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 u) n0_i) (* n1_i u)) (*.f32 u (-.f32 n1_i n0_i)))) |
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(fma.f32 u #s(literal 1 binary32) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i)) |
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(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 #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) u (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32))) |
(fma.f32 u #s(literal 1 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32))) |
(+.f32 (-.f32 u #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 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 #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 #s(literal 3 binary32)) (log.f32 (-.f32 #s(literal 1 binary32) u))) |
(pow.f32 (neg.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32)) |
(pow.f32 (fabs.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 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 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (sinh.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) |
(exp.f32 (fma.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32) (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)))) |
(exp.f32 (*.f32 (*.f32 (log.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 3/2 binary32)) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3/2 binary32))) #s(literal 2 binary32))) |
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) #s(literal 3/2 binary32))) |
(exp.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) |
Compiled 70 398 to 4 728 computations (93.3% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 691 | 17 | 708 |
| Fresh | 6 | 7 | 13 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 0 | 0 |
| Total | 702 | 24 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| 72.7% | (/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) | |
| ▶ | 71.0% | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
| 85.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) | |
| 85.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) | |
| 98.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 u n1_i (*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 u (-.f32 n1_i n0_i))) u) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))) u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))))) | |
| ▶ | 98.8% | #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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
| 97.9% | #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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.0% | #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)))) | |
| 55.0% | #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)))) | |
| 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| 35.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) u) (+.f32 n0_i n1_i)))) | |
| 83.6% | #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 #s(approx (/ (- 1 u) n1_i) (/.f32 #s(literal 1 binary32) n1_i)) u) n1_i))) | |
| 36.6% | #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 n1_i) (-.f32 n1_i n0_i)) (+.f32 n0_i n1_i)) u))) | |
| 42.8% | #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 u n1_i))) | |
| 40.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) | |
| ▶ | 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) (neg.f32 u))) (neg.f32 u))) (*.f32 u u))) u n0_i))) | |
| 84.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))) #s(literal 1 binary32)) n1_i)) u n0_i))) | |
| 54.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 (*.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))) | |
| 54.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #s(literal -2 binary32) u)) #s(literal 1 binary32)) u) n0_i))) | |
| ▶ | 54.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
| 54.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) | |
| ▶ | 45.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 3 368 to 1 818 computations (46% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| cost-diff | 0 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) | |
| cost-diff | 0 | #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) | |
| cost-diff | 0 | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) | |
| cost-diff | 0 | #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) | |
| cost-diff | 0 | (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) | |
| cost-diff | 0 | (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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 (- (+ (* (* -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))) | |
| cost-diff | 0 | (*.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) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) | |
| 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) | |
| 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) | |
| cost-diff | 0 | (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1257 |
| 0 | 130 | 1257 |
| 1 | 278 | 1241 |
| 2 | 872 | 1203 |
| 3 | 3986 | 1199 |
| 0 | 8143 | 1141 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i) |
#s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 normAngle normAngle) |
normAngle |
#s(literal -1/6 binary32) |
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) |
(*.f32 #s(literal -2 binary32) n0_i) |
#s(literal -2 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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) |
(*.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 (- (+ (* (* -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))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) |
#s(literal 1/3 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
#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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) |
#s(literal -1/6 binary32) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) |
(*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u) |
#s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) |
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) |
(*.f32 #s(literal -2 binary32) n0_i) |
#s(literal -2 binary32) |
n0_i |
n1_i |
u |
(*.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) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) 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) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
normAngle |
(sin.f32 normAngle) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) 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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 n1_i (fma.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) (*.f32 normAngle normAngle) n0_i))) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i)) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 n1_i (fma.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) (*.f32 normAngle normAngle) n0_i))) u n0_i)) |
(fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i) |
(fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 n1_i (fma.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) (*.f32 normAngle normAngle) n0_i))) u n0_i) |
#s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) |
#s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 n1_i (fma.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) (*.f32 normAngle normAngle) n0_i))) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) |
(-.f32 n1_i (fma.f32 (*.f32 #s(literal 1/6 binary32) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) (*.f32 normAngle normAngle) n0_i)) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) |
(fma.f32 (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) #s(literal -1/6 binary32)) normAngle n1_i) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle) |
(*.f32 normAngle normAngle) |
normAngle |
#s(literal -1/6 binary32) |
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) |
(*.f32 #s(literal -2 binary32) n0_i) |
#s(literal -2 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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) |
(*.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 (- (+ (* (* -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))) |
(fma.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) |
#s(literal 1/3 binary32) |
(*.f32 normAngle normAngle) |
normAngle |
#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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) |
(*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) #s(literal -1/6 binary32)) |
#s(literal -1/6 binary32) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) |
(*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u) |
#s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) |
(-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) |
(*.f32 #s(literal -2 binary32) n0_i) |
#s(literal -2 binary32) |
n0_i |
n1_i |
u |
(*.f32 normAngle normAngle) |
normAngle |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(*.f32 n1_i u) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) normAngle)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) |
(*.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) normAngle) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
normAngle |
(sin.f32 normAngle) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) | |
| accuracy | 0.15234375 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.6154896441101401 | #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) | |
| accuracy | 8.650405861929723 | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) | |
| accuracy | 0.171875 | (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u) | |
| accuracy | 0.20497518417208768 | #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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| accuracy | 0.39453125 | (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) | |
| accuracy | 6.359910977191739 | #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) | |
| accuracy | 0.16015625 | (*.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) | |
| accuracy | 0.16015625 | (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) | |
| accuracy | 0.20497518417208768 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) | |
| accuracy | 14.320353987369824 | #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) | |
| 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 | 0.20497518417208768 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 | 8.82725899596344 | #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32)) | |
| accuracy | 14.320353987369824 | #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 | 0.06640625 | (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i) | |
| accuracy | 0.16015625 | (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) | |
| accuracy | 0.20497518417208768 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i))) | |
| accuracy | 0.22588106542944192 | #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) |
| 186.0ms | 246× | 0 | valid |
| 16.0ms | 10× | 1 | valid |
Compiled 692 to 86 computations (87.6% saved)
ival-mult: 69.0ms (46.8% of total)ival-sub: 25.0ms (17% of total)ival-add: 22.0ms (14.9% of total)ival-sin: 10.0ms (6.8% of total)const: 7.0ms (4.7% of total)ival-pow: 5.0ms (3.4% of total)ival-div: 3.0ms (2% of total)adjust: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i) |
#s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) |
(*.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 (- (+ (* (* -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))) |
#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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) |
#s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) |
(*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) n0_i) |
(* 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 (- 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)))))))))))))) |
(* -1/6 (pow normAngle 2)) |
(* 1/3 (pow normAngle 2)) |
(+ (/ (* 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))))) |
(* (pow normAngle 2) (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2)))) (/ n0_i (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 (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* 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 (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) n0_i))) |
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i) |
(- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) 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))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(* n0_i normAngle) |
(+ (* n0_i normAngle) (* normAngle (* u (+ n1_i (* -1 n0_i))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i) |
(* u (- (+ n0_i (* -3 n0_i)) n1_i)) |
(* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)) |
(* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_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 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_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)))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* normAngle (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ (* normAngle (+ n1_i (* -1 n0_i))) (/ (* n0_i normAngle) u))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* (pow u 2) (- n1_i n0_i)) |
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(* (pow u 3) (- n1_i n0_i)) |
(* (pow u 3) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(+ (/ (* 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 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u)) (/ n1_i u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_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))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(/ (+ (* 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)))) |
(* -1 (* normAngle (* u (+ n0_i (* -1 n1_i))))) |
(* -1 (* u (+ (* -1 (/ (* n0_i normAngle) u)) (* normAngle (+ n0_i (* -1 n1_i)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) u))) n0_i)) |
(* -1 (* (pow u 3) (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i))))) |
(* -1 (* (pow u 3) (+ (* -1 (- n1_i n0_i)) (* -1 (/ (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)) 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))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (* normAngle u)) |
(+ (* n0_i (* normAngle (- 1 u))) (* n1_i (* normAngle u))) |
(* n1_i u) |
(- (* n1_i (pow u 2)) n1_i) |
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i) |
(* u (- (* n1_i (pow u 2)) n1_i)) |
(+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (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 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))) (/ n1_i n0_i))))) 1)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (* normAngle (- 1 u))) |
(* n0_i (+ (* normAngle (- 1 u)) (/ (* n1_i (* normAngle u)) n0_i))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (* u (+ 3 (* -1 u))) 2)) |
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i)))) |
(* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) |
(* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) 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 (- (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2)))))))) 1))) |
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2)))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* normAngle (- 1 u))) (* -1 (/ (* n1_i (* normAngle u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 2 (* u (- u 3))))) |
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3)))))) |
(* -1 (* n0_i (* u (+ 2 (* u (- u 3)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3))))))) |
(+ (* -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 (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i)))) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_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 (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i)) n1_i)))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i))))) (/ n0_i n1_i))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (+ (* normAngle u) (/ (* n0_i (* normAngle (- 1 u))) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1)) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 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 (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* normAngle u)) (* -1 (/ (* n0_i (* normAngle (- 1 u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ 1 (* -1 (pow u 2))))) |
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))) |
(* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | normAngle | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (* (+ (* (- 1 u) n0_i) (* n1_i u)) normAngle) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (* normAngle normAngle) -1/6) (* 1/3 (* normAngle normAngle)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u)) |
| 13.0ms | n1_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (* (+ (* (- 1 u) n0_i) (* n1_i u)) normAngle) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (* normAngle normAngle) -1/6) (* 1/3 (* normAngle normAngle)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u)) |
| 6.0ms | n0_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (* (+ (* (- 1 u) n0_i) (* n1_i u)) normAngle) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (* normAngle normAngle) -1/6) (* 1/3 (* normAngle normAngle)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u)) |
| 6.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (* (+ (* (- 1 u) n0_i) (* n1_i u)) normAngle) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (* normAngle normAngle) -1/6) (* 1/3 (* normAngle normAngle)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u)) |
| 5.0ms | n0_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (/ (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (* (+ (* (- 1 u) n0_i) (* n1_i u)) normAngle) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (* normAngle normAngle) -1/6) (* 1/3 (* normAngle normAngle)) (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (* (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) u)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1063 | 6353 |
| 1 | 3931 | 6030 |
| 0 | 8202 | 5647 |
| 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))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(- n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) n0_i) |
(* 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 (- 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)))))))))))))) |
(* -1/6 (pow normAngle 2)) |
(* 1/3 (pow normAngle 2)) |
(+ (/ (* 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))))) |
(* (pow normAngle 2) (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2)))) (/ n0_i (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 (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* 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 (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) n0_i))) |
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i) |
(- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) 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))) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i)))))))) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(* n0_i normAngle) |
(+ (* n0_i normAngle) (* normAngle (* u (+ n1_i (* -1 n0_i))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(- (+ n0_i (* -3 n0_i)) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i) |
(* u (- (+ n0_i (* -3 n0_i)) n1_i)) |
(* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)) |
(* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_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 (* (pow normAngle 2) (* (pow u 3) (- n1_i n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2)))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2)))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_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)))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(* normAngle (* u (+ n1_i (* -1 n0_i)))) |
(* u (+ (* normAngle (+ n1_i (* -1 n0_i))) (/ (* n0_i normAngle) u))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* (pow u 2) (- n1_i n0_i)) |
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(* (pow u 3) (- n1_i n0_i)) |
(* (pow u 3) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(+ (/ (* 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 (* (pow normAngle 2) (- n1_i n0_i))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) u)) (/ n1_i u))) (/ n0_i u)) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* 1/6 (* (pow normAngle 2) (- n1_i n0_i)))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_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))))) |
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u))))) |
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i)))))) |
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i)))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i))))) |
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u)))))) |
(/ (+ (* 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)))) |
(* -1 (* normAngle (* u (+ n0_i (* -1 n1_i))))) |
(* -1 (* u (+ (* -1 (/ (* n0_i normAngle) u)) (* normAngle (+ n0_i (* -1 n1_i)))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u))) u))) n0_i)) |
(* -1 (* (pow u 3) (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i))))) |
(* -1 (* (pow u 3) (+ (* -1 (- n1_i n0_i)) (* -1 (/ (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)) 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))) |
(* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) |
(+ (* n0_i (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))) (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) |
(+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))))) |
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) |
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))) |
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))) |
(- (* n1_i (pow u 3)) (* n1_i u)) |
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u)) |
(* n1_i (sin (* normAngle u))) |
(* n1_i (* normAngle u)) |
(+ (* n0_i (* normAngle (- 1 u))) (* n1_i (* normAngle u))) |
(* n1_i u) |
(- (* n1_i (pow u 2)) n1_i) |
(- (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2))) n1_i) |
(* u (- (* n1_i (pow u 2)) n1_i)) |
(+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (+ (* -1/6 (* (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 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))) |
(* n0_i (+ 1 (+ (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)) (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)))) |
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)) |
(* n0_i (- (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (pow u 2))) n0_i)) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* 1/3 (pow normAngle 2)) (+ (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))) (/ n1_i n0_i))))) 1)) |
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) |
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))) |
(* n0_i (- (+ u (pow (- 1 u) 3)) 1)) |
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i (* normAngle (- 1 u))) |
(* n0_i (+ (* normAngle (- 1 u)) (/ (* n1_i (* normAngle u)) n0_i))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (* u (+ 3 (* -1 u))) 2)) |
(* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) (+ 2 (/ n1_i n0_i)))) |
(* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) |
(* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) 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 (- (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))) 1))) |
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2)))))))) 1))) |
(* -1 (* n0_i (+ 1 (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2)))))))) |
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* u (+ (* -1/6 (* (pow normAngle 2) u)) (* 1/2 (pow normAngle 2))))))))) |
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))) |
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))) |
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (* normAngle (- 1 u))) (* -1 (/ (* n1_i (* normAngle u)) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 2 (* u (- u 3))))) |
(* -1 (* n0_i (+ 2 (+ (* -1 (/ (- (* n1_i (pow u 2)) n1_i) n0_i)) (* u (- u 3)))))) |
(* -1 (* n0_i (* u (+ 2 (* u (- u 3)))))) |
(* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3))))))) |
(+ (* -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 (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i))) |
(+ n0_i (+ (* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i)))) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) |
(- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (+ (* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i) |
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) |
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) |
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) |
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u))) |
(+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) |
(+ n0_i (+ (* -3 n0_i) (+ (* n1_i (- (pow u 2) 1)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) |
(+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_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 (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i)) n1_i)))) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i))))) (/ n0_i n1_i))) |
(* -1/6 (* n1_i (- (pow u 3) u))) |
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))) |
(* n1_i (- (pow u 3) u)) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (+ (* normAngle u) (/ (* n0_i (* normAngle (- 1 u))) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (pow u 2) 1)) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1)) |
(* n1_i (* u (- (pow u 2) 1))) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 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 (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (* normAngle u)) (* -1 (/ (* n0_i (* normAngle (- 1 u))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ 1 (* -1 (pow u 2))))) |
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))) |
(* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2)))))) |
(* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2))))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (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 #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 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (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 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #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)))) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) n0_i) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* -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 n0_i (-.f32 #s(literal 1 binary32) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u) |
(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)) (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* 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 (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 #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 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* 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 (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 #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 (-.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 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) #s(literal -1/6 binary32) (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 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 -1/6 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) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 (fma.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))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) 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 (fma.f32 (fma.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))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) normAngle) |
(* -1/6 (pow normAngle 2)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(* 1/3 (pow normAngle 2)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_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)) (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))))) |
(* (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 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i)) (/.f32 (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i)))))))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) u) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)))) |
(* (pow normAngle 2) (+ (* u (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) u (/.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle)) |
(* (pow normAngle 2) (- (+ (* -1/6 (- (+ n0_i (* -3 n0_i)) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* -1/6 (* u (- n1_i n0_i))))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2)))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u (/.f32 (-.f32 n1_i n0_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 n0_i normAngle) (/.f32 (-.f32 #s(literal 1 binary32) u) 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)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)))) (sin.f32 normAngle)) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))) |
(fma.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i)))))))))))) |
(fma.f32 (+.f32 (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u)) u n0_i) |
(+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) u n0_i) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i)) n0_i) u n0_i) |
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) n0_i))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i)) n0_i) u n0_i) |
(- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)))) n0_i) |
(-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) |
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))))) n0_i) |
(-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i)) n0_i) |
(- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (- n1_i n0_i)))))))) n0_i) |
(-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i)) 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 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 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 (*.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) #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 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))) u (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i))) |
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 n0_i u) #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 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) u) (-.f32 n1_i n0_i) (*.f32 #s(literal -1/2 binary32) n0_i)) u)) u) |
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (*.f32 #s(literal -3 binary32) (-.f32 n0_i (*.f32 n0_i u))) (-.f32 n1_i n0_i)) u) |
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i)))) |
(*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u) |
(* n0_i (sin normAngle)) |
(*.f32 n0_i (sin.f32 normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(fma.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 n0_i (sin.f32 normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) (*.f32 (sin.f32 normAngle) u)) #s(literal -1/2 binary32) (*.f32 n1_i normAngle)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 n0_i (sin.f32 normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)))) u (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (sin.f32 normAngle)))) u (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) u (*.f32 n0_i (sin.f32 normAngle))) |
(* n0_i normAngle) |
(*.f32 n0_i normAngle) |
(+ (* n0_i normAngle) (* normAngle (* u (+ n1_i (* -1 n0_i))))) |
(*.f32 normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(- (+ n0_i (* -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 n0_i u) #s(literal 3 binary32))) n1_i) |
(- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i) |
(-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) |
(* u (- (+ n0_i (* -3 n0_i)) n1_i)) |
(*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) u) |
(* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) u) |
(* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i)) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) 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 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u))))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (+.f32 (/.f32 n0_i (pow.f32 u #s(literal 3 binary32))) (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) n1_i) (*.f32 u u)))))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (- n1_i 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 n0_i))))) |
(*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) u) (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 (-.f32 n1_i n0_i) (*.f32 u u)))) (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 n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i) (+.f32 (/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) (*.f32 u u)) (/.f32 n0_i (pow.f32 u #s(literal 3 binary32)))))) (/.f32 n0_i (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* (pow normAngle 2) (* (pow u 2) (- n1_i n0_i)))) |
(*.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) |
(* (pow u 2) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))))) |
(*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32))) (*.f32 u u)) |
(* (pow u 2) (- (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (- n1_i n0_i))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (* -3 n0_i)) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) u) (/.f32 (*.f32 normAngle normAngle) u))) (/.f32 (-.f32 n1_i n0_i) (*.f32 u u)))) (*.f32 u u)) |
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3)))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) (pow.f32 u #s(literal 3 binary32)))) |
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) (pow.f32 u #s(literal 3 binary32))) |
(* (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))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u) (/.f32 n0_i u) (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)))) (pow.f32 u #s(literal 3 binary32))) |
(* (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)))))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) u) #s(literal -1/2 binary32) (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 normAngle normAngle) (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u) (/.f32 n0_i u) (/.f32 n0_i (pow.f32 u #s(literal 3 binary32)))))) (pow.f32 u #s(literal 3 binary32))) |
(* 1/6 (* (pow normAngle 2) (pow u 3))) |
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle))) (pow.f32 u #s(literal 3 binary32))) |
(* (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)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32) (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) (/.f32 (-.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) (*.f32 u u)))) (pow.f32 u #s(literal 3 binary32))) |
(* (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)))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 normAngle normAngle) u) #s(literal -1/2 binary32) (fma.f32 (/.f32 #s(literal 1/3 binary32) u) (/.f32 (*.f32 normAngle normAngle) u) (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) (/.f32 #s(literal 1 binary32) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32))) |
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i)))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 u #s(literal 3 binary32))) (-.f32 n1_i n0_i)) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2)))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 u u)) (-.f32 n1_i n0_i)))) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u))))) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2))))) |
(*.f32 (+.f32 n1_i (+.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i)) (/.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (*.f32 u u)))) (pow.f32 u #s(literal 3 binary32))) |
(* normAngle (* u (+ n1_i (* -1 n0_i)))) |
(*.f32 (*.f32 normAngle u) (-.f32 n1_i n0_i)) |
(* u (+ (* normAngle (+ n1_i (* -1 n0_i))) (/ (* n0_i normAngle) u))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) normAngle (/.f32 (*.f32 n0_i normAngle) u)) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (-.f32 n1_i (-.f32 n0_i (/.f32 n0_i u))) u) |
(* (pow u 2) (- n1_i n0_i)) |
(*.f32 (*.f32 u u) (-.f32 n1_i n0_i)) |
(* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i)) (*.f32 u u)) |
(* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
(*.f32 (-.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) (/.f32 n0_i (*.f32 u u)))) n1_i) n0_i) (/.f32 n1_i (*.f32 u u))) (*.f32 u u)) |
(* (pow u 3) (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (* 3 (/ n0_i u))) n0_i)) |
(*.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (-.f32 n1_i n0_i)) (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2))))) |
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(*.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) n1_i)) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
(* n1_i (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))) |
(*.f32 (*.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32))) |
(* n1_i (+ (* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) (+ (/ n0_i n1_i) (/ (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i)) n1_i)))) |
(*.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) u (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) n0_i)) u n0_i) n1_i)) n1_i) |
(* n1_i (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))))) |
(*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n1_i) |
(* n1_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (+ (* 1/6 (pow normAngle 2)) (/ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) n1_i))))) (/ n0_i n1_i))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 u u) (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle normAngle) (*.f32 #s(literal -2 binary32) (/.f32 n0_i n1_i)))) (+.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) (/.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) n1_i)) #s(literal 1 binary32))) (/.f32 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 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) n1_i) |
(* n1_i (- (pow u 3) u)) |
(*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) n1_i) |
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (-.f32 (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n1_i) (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) n1_i) |
(* n1_i (+ (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) |
(* n1_i (+ (* normAngle u) (/ (* n0_i (* normAngle (- 1 u))) n1_i))) |
(*.f32 (fma.f32 normAngle u (/.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) n1_i)) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (- (pow u 2) 1)) |
(*.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) n1_i) |
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))) 1)) |
(*.f32 (-.f32 (fma.f32 #s(literal -2 binary32) (/.f32 n0_i n1_i) (*.f32 u (+.f32 (/.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) n1_i) u))) #s(literal 1 binary32)) n1_i) |
(* n1_i (* u (- (pow u 2) 1))) |
(*.f32 (*.f32 (-.f32 (*.f32 u u) #s(literal 1 binary32)) u) n1_i) |
(* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i))) |
(*.f32 (*.f32 u (+.f32 (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) (-.f32 (*.f32 u u) #s(literal 1 binary32)))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (/.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n1_i) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))) |
(*.f32 (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 (*.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) n1_i) #s(literal -1 binary32) (fma.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (neg.f32 u))) (neg.f32 n1_i)) |
(* -1 (* n1_i (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1)))) |
(*.f32 (*.f32 (neg.f32 u) n1_i) (-.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)))) #s(literal 1 binary32))) |
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i))) n1_i)) (* u (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))))) |
(*.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)))) #s(literal 1 binary32)) u (/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) n0_i)) u n0_i) (neg.f32 n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2)))) 1))) |
(*.f32 (-.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)))) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -3 n0_i)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))) n0_i) n1_i)) (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) (pow u 2))))) 1))) |
(*.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 u u) (*.f32 normAngle normAngle))) (/.f32 (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (-.f32 (*.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) n0_i)) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) n1_i) #s(literal 1/6 binary32)) |
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u)))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u)))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (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)) |
(* -1 (* n1_i (+ (* -1 (* normAngle u)) (* -1 (/ (* n0_i (* normAngle (- 1 u))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 normAngle u (/.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) n1_i))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ 1 (* -1 (pow u 2))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ 1 (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))) |
(*.f32 (fma.f32 #s(literal -1 binary32) (fma.f32 u u (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2)))))) |
(*.f32 (-.f32 u (pow.f32 u #s(literal 3 binary32))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2))))))) |
(*.f32 (fma.f32 (neg.f32 u) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (*.f32 (fma.f32 (neg.f32 n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u)) n1_i) (-.f32 u (pow.f32 u #s(literal 3 binary32)))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1142 |
| 0 | 130 | 1142 |
| 1 | 592 | 1126 |
| 2 | 5263 | 1126 |
| 0 | 8195 | 1072 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i)) |
(fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i) |
#s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) |
(*.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 (- (+ (* (* -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))) |
#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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) |
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) |
#s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) |
(*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u n0_i))) |
#s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u n0_i)) |
(/.f32 (-.f32 (*.f32 n0_i n0_i) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))) (-.f32 n0_i (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) n0_i))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) n0_i)) |
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) (*.f32 u n0_i))))) |
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)))) |
(-.f32 (/.f32 (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)) (-.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) n0_i)) (/.f32 (*.f32 n0_i n0_i) (-.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) n0_i))) |
(-.f32 n0_i (*.f32 (neg.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i)))) u)) |
(-.f32 n0_i (*.f32 (neg.f32 u) #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))))) |
(fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u n0_i) |
(fma.f32 u #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) n0_i) |
(+.f32 (/.f32 (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u)) (pow.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) #s(literal 2 binary32))))) |
(+.f32 (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u) n0_i) |
(+.f32 n0_i (*.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) u)) |
#s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (fma.f32 (*.f32 (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) (-.f32 n1_i n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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) |
(*.f32 n0_i #s(approx (- (+ (* (* -1/6 (* normAngle normAngle)) (- (+ (pow (- 1 u) 3) u) 1)) 1) u) #s(literal 1 binary32))) |
#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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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)) |
(*.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) |
(*.f32 n0_i #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)))) |
#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))) |
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(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 (neg.f32 (neg.f32 n1_i)) u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (/.f32 (pow.f32 (*.f32 n0_i (-.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 (pow.f32 (*.f32 n1_i 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 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 (neg.f32 n1_i)) u)) |
(+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(literal -1/6 binary32))) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(literal -1/6 binary32))) |
(*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) |
(*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) |
(*.f32 normAngle (*.f32 #s(literal -1/6 binary32) normAngle)) |
(*.f32 (*.f32 #s(literal 1/3 binary32) (neg.f32 normAngle)) (neg.f32 normAngle)) |
(*.f32 (*.f32 #s(literal 1/3 binary32) (fabs.f32 normAngle)) (fabs.f32 normAngle)) |
(*.f32 (*.f32 #s(literal 1/3 binary32) normAngle) (*.f32 normAngle #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1/3 binary32) normAngle) normAngle) |
(*.f32 (neg.f32 normAngle) (*.f32 (neg.f32 normAngle) #s(literal 1/3 binary32))) |
(*.f32 (fabs.f32 normAngle) (*.f32 (fabs.f32 normAngle) #s(literal 1/3 binary32))) |
(*.f32 (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1/3 binary32) (*.f32 (*.f32 normAngle normAngle) #s(literal 1 binary32))) |
(*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) |
(*.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)) |
(*.f32 normAngle (*.f32 #s(literal 1/3 binary32) normAngle)) |
(*.f32 #s(literal 1 binary32) (*.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle))) |
#s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) |
(*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u) |
(*.f32 u #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i))) |
Compiled 39 077 to 2 217 computations (94.3% saved)
24 alts after pruning (21 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 398 | 6 | 404 |
| Fresh | 4 | 15 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 404 | 24 | 428 |
| Status | Accuracy | Program |
|---|---|---|
| 72.7% | (/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) | |
| 44.6% | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) | |
| 33.1% | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) | |
| 85.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) 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 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 n1_i u (*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))))) | |
| 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_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 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 97.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) | |
| 98.0% | #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)))) | |
| 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| 35.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) u) (+.f32 n0_i n1_i)))) | |
| 83.6% | #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 #s(approx (/ (- 1 u) n1_i) (/.f32 #s(literal 1 binary32) n1_i)) u) n1_i))) | |
| 36.6% | #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 n1_i) (-.f32 n1_i n0_i)) (+.f32 n0_i n1_i)) u))) | |
| 42.8% | #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 u n1_i))) | |
| 40.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)))) | |
| ✓ | 99.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) (neg.f32 u))) (neg.f32 u))) (*.f32 u u))) u n0_i))) | |
| 84.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n1_i)) u n0_i))) | |
| 54.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 (*.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))) | |
| 54.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #s(literal -2 binary32) u)) #s(literal 1 binary32)) u) n0_i))) | |
| ✓ | 54.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
| 54.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) | |
| ✓ | 45.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
| 43.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) #s(approx (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (*.f32 (*.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)))))) |
Compiled 5 205 to 1 338 computations (74.3% 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i #s(approx (/ (- 1 u) n1_i) (/.f32 #s(literal 1 binary32) n1_i)) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (* (- n1_i n0_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 (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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) (+.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 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) u) (+.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 (- 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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) 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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) #s(approx (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (*.f32 (*.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n1_i)) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 (*.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)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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 #s(literal 1 binary32) u) n0_i (fma.f32 n1_i u (*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 #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 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 u n1_i (*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 u (-.f32 n1_i n0_i))) u) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))) u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (fma.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (/.f32 (fma.f32 (*.f32 #s(literal 1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i) (neg.f32 u))) (neg.f32 u))) (*.f32 u u))) u n0_i))) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) n1_i))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle)) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #s(approx (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32)) (-.f32 n1_i n0_i))) (*.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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 n0_i n1_i) (/.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal 3 binary32) n0_i) (-.f32 n0_i n1_i)) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (pow.f32 (neg.f32 u) #s(literal 3 binary32))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (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 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* normAngle (- 1 u))))) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (*.f32 normAngle n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)) |
(/.f32 (fma.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(+.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 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i)) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (neg.f32 n0_i))) n1_i) u n0_i))) |
5 calls:
| 18.0ms | n0_i |
| 15.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 15.0ms | n1_i |
| 15.0ms | u |
| 12.0ms | 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i #s(approx (/ (- 1 u) n1_i) (/.f32 #s(literal 1 binary32) n1_i)) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (* (- n1_i n0_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 (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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) (+.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 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) u) (+.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 (- 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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) 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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) #s(approx (+ (* (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) u) n0_i) (*.f32 (*.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) (*.f32 normAngle normAngle)) #s(literal 1 binary32)) n1_i)) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 (*.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)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) 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 #s(literal 1 binary32) u) n0_i (fma.f32 n1_i u (*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u)) (*.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 normAngle normAngle)) #s(literal -1/6 binary32) (*.f32 #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 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (*.f32 (*.f32 u u) (-.f32 n1_i n0_i))) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (*.f32 #s(literal -1/6 binary32) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (*.f32 #s(literal 3 binary32) n0_i)) u (*.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (fma.f32 u n1_i (*.f32 #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 (-.f32 (*.f32 (fma.f32 #s(literal 3 binary32) n0_i (*.f32 u (-.f32 n1_i n0_i))) u) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))) u)) (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))))) |
| 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) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
5 calls:
| 14.0ms | n0_i |
| 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)) |
| 8.0ms | n1_i |
| 7.0ms | u |
| 7.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.1% | 1 | normAngle |
| 99.1% | 1 | u |
| 99.1% | 1 | n0_i |
| 99.1% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i #s(approx (/ (- 1 u) n1_i) (/.f32 #s(literal 1 binary32) n1_i)) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (* (- n1_i n0_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 (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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) (+.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 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) u) (+.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 (- 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)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) 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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (-.f32 n1_i n0_i)) u n0_i))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) n1_i) n0_i)) u n0_i))) |
5 calls:
| 34.0ms | 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 |
| 5.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 99.1% | 1 | normAngle |
| 99.1% | 1 | u |
| 99.1% | 1 | n0_i |
| 99.1% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 n0_i #s(approx (/ (- 1 u) n1_i) (/.f32 #s(literal 1 binary32) n1_i)) u) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (* (- n1_i n0_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 (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 (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) (+.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 (*.f32 (*.f32 (+.f32 n0_i n1_i) (-.f32 n1_i n0_i)) u) (+.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 (- 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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
5 calls:
| 27.0ms | 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 | u |
| 5.0ms | n0_i |
| 4.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.1% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 98.1% | 1 | normAngle |
| 98.1% | 1 | u |
| 98.1% | 1 | n0_i |
| 98.1% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (-.f32 n1_i n0_i) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
5 calls:
| 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)) |
| 2.0ms | n0_i |
| 2.0ms | n1_i |
| 2.0ms | normAngle |
| 2.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.1% | 3 | n0_i |
| 54.5% | 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)) |
| 58.2% | 2 | normAngle |
| 58.7% | 2 | u |
| 73.9% | 3 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
2 calls:
| 1.0ms | n0_i |
| 1.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.1% | 3 | n0_i |
| 65.9% | 3 | n1_i |
Compiled 2 to 8 computations (-300% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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:
| 1.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 1.0ms | n1_i |
| 1.0ms | u |
| 1.0ms | n0_i |
| 1.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.7% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 45.7% | 1 | normAngle |
| 45.7% | 1 | u |
| 45.7% | 1 | n0_i |
| 45.7% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.724483017051092e-14 | 2.4829261436047807e-14 |
| 0.0ms | -8.11711143958204e-16 | -4.834041382177526e-16 |
Compiled 28 to 24 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.1731413767285285e-15 | 3.918837317504068e-15 |
| 0.0ms | -8.11711143958204e-16 | -4.834041382177526e-16 |
Compiled 28 to 24 computations (14.3% saved)
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 116 | 736 |
| 1 | 247 | 700 |
| 2 | 730 | 657 |
| 3 | 3401 | 656 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) 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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(if (<=.f32 n1_i #s(literal -9444733/18889465931478580854784 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))) (if (<=.f32 n1_i #s(literal 2951479/147573952589676412928 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 n1_i #s(literal -9444733/18889465931478580854784 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))) (if (<=.f32 n1_i #s(literal 14167099/4722366482869645213696 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 (+.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 #s(literal -3 binary32) n0_i) (-.f32 n1_i n0_i)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (-.f32 n1_i n0_i) u) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (*.f32 #s(approx (- (+ (* (+ (* (- n1_i n0_i) u) (* 3 n0_i)) u) (* -3 n0_i)) (- n1_i n0_i)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i)) u))) (*.f32 normAngle normAngle) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (fma.f32 #s(approx (+ (+ (* (* -1/6 (* normAngle normAngle)) (- (* -3 n0_i) (- n1_i n0_i))) (+ (* (+ (* (* -1/6 (* normAngle normAngle)) (* (- n1_i n0_i) u)) (* (* (* normAngle normAngle) n0_i) -1/2)) u) (neg n0_i))) n1_i) (-.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) 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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(if (<=.f32 n1_i #s(literal -9444733/18889465931478580854784 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))) (if (<=.f32 n1_i #s(literal 2951479/147573952589676412928 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (or (<=.f32 n1_i #s(literal -9444733/18889465931478580854784 binary32)) (not (<=.f32 n1_i #s(literal 2951479/147573952589676412928 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 n1_i #s(literal -9444733/18889465931478580854784 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))) (if (<=.f32 n1_i #s(literal 14167099/4722366482869645213696 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))))) |
(if (or (<=.f32 n1_i #s(literal -9444733/18889465931478580854784 binary32)) (not (<=.f32 n1_i #s(literal 14167099/4722366482869645213696 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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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 (- 1 u) 3) n0_i) (- (* (pow u 3) n1_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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 897 | 4720 |
| 1 | 3308 | 4529 |
| 0 | 8188 | 4261 |
| 0 | 321 | 1535 |
| 1 | 1092 | 1412 |
| 2 | 4415 | 1356 |
| 0 | 8208 | 1277 |
| 0 | 1051 | 5778 |
| 1 | 3789 | 5722 |
| 0 | 8236 | 5399 |
| 0 | 1063 | 6353 |
| 1 | 3931 | 6030 |
| 0 | 8202 | 5647 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 736 to 122 computations (83.4% saved)
(abs normAngle)
Compiled 1 734 to 380 computations (78.1% saved)
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