
Time bar (total: 10.1s)
| 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)
| 2.0s | 8 256× | 0 | valid |
| 693.0ms | 2 075× | 0 | invalid |
ival-sin: 571.0ms (25.1% of total)ival-mult: 548.0ms (24.1% of total)ival-<=: 335.0ms (14.7% of total)ival-div: 279.0ms (12.3% of total)const: 276.0ms (12.1% of total)ival-sub: 96.0ms (4.2% of total)ival-and: 54.0ms (2.4% of total)ival-add: 47.0ms (2.1% of total)ival-pi: 44.0ms (1.9% of total)exact: 23.0ms (1% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 26 | 0 | - | 24 | (1.4874423580332021e-33 8.686147801029165e-9 -7.913638437767375e-27 1.0403500283473477e-10) | (*.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 | 2 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 11 |
| - | 1 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 11 |
| - | 1 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 254 |
| 1 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 63.0ms | 500× | 0 | valid |
| 3.0ms | 12× | 1 | valid |
Compiled 332 to 72 computations (78.3% saved)
ival-mult: 17.0ms (40.6% of total)ival-sin: 15.0ms (35.8% of total)ival-div: 4.0ms (9.6% of total)ival-sub: 3.0ms (7.2% of total)ival-add: 2.0ms (4.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 279 | 300 |
| 2 | 744 | 283 |
| 3 | 2029 | 255 |
| 4 | 3889 | 252 |
| 5 | 6700 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 48 | 21 |
| 2 | 88 | 20 |
| 3 | 158 | 18 |
| 4 | 205 | 18 |
| 5 | 240 | 18 |
| 6 | 283 | 18 |
| 7 | 368 | 18 |
| 8 | 517 | 18 |
| 9 | 616 | 18 |
| 10 | 758 | 18 |
| 11 | 1251 | 18 |
| 12 | 1987 | 18 |
| 13 | 2323 | 18 |
| 14 | 2342 | 18 |
| 15 | 2343 | 18 |
| 16 | 2343 | 18 |
| 0 | 2343 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 25 to 17 computations (32% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 3616 | (+.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 | 48 | 89 |
| 2 | 88 | 88 |
| 3 | 158 | 86 |
| 4 | 205 | 86 |
| 5 | 240 | 86 |
| 6 | 283 | 86 |
| 7 | 368 | 86 |
| 8 | 517 | 86 |
| 9 | 616 | 86 |
| 10 | 758 | 86 |
| 11 | 1251 | 86 |
| 12 | 1987 | 86 |
| 13 | 2323 | 86 |
| 14 | 2342 | 86 |
| 15 | 2343 | 86 |
| 16 | 2343 | 86 |
| 0 | 2343 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 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 | 0.12890625 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.1640625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.4622650390737681 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.4936777248663633 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 45.0ms | 250× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 204 to 36 computations (82.4% saved)
ival-sin: 13.0ms (50.2% of total)ival-mult: 8.0ms (30.9% of total)ival-div: 2.0ms (7.7% 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 | |
|---|---|---|---|---|
| 32.0ms | 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)) |
| 5.0ms | normAngle | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 4.0ms | normAngle | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3458 | 1384 |
| 0 | 8472 | 1298 |
| 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 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) 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 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (*.f32 (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 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.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 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 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.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 (fma.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) (*.f32 #s(literal 1/6 binary32) (+.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 #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 (*.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))))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.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) (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 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.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 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 (fma.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 (fma.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) (fma.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 (fma.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 (fma.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) (fma.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 (fma.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 (fma.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) (fma.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))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle 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 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 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 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 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 (-.f32 (*.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) (*.f32 (cos.f32 normAngle) (/.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 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 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 (fma.f32 (*.f32 (*.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (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)))) |
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (*.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))) (pow.f32 u #s(literal 3 binary32)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) u) (/.f32 n0_i (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(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))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (* 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 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (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 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (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 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (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 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 53 |
| 1 | 83 | 53 |
| 2 | 469 | 52 |
| 3 | 4873 | 52 |
| 0 | 8536 | 51 |
| 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 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (+.f32 (pow.f32 (*.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 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (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 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 (*.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 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (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 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (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 (-.f32 #s(literal 1 binary32) u) normAngle)))) (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 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))) |
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(/.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 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle))) |
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 normAngle u) normAngle) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
Compiled 11 569 to 1 089 computations (90.6% saved)
19 alts after pruning (19 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 260 | 19 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 261 | 19 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 81.1% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 97.2% | (+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.5% | (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.5% | (+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| 96.8% | (+.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 80.1% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.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 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.4% | (+.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 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| ▶ | 99.0% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| ▶ | 97.1% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 46.2% | (+.f32 (*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 25.5% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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 #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)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.3% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 81.5% | (+.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)) | |
| ▶ | 45.1% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
| ▶ | 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 57.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) | |
| 36.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
Compiled 1 184 to 802 computations (32.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 160 | (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 352 | (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) | |
| cost-diff | 3616 | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| cost-diff | 0 | (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| cost-diff | 0 | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 3616 | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| cost-diff | 0 | (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| cost-diff | 0 | (sin.f32 normAngle) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| cost-diff | 160 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) | |
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 497 |
| 0 | 87 | 493 |
| 1 | 139 | 451 |
| 2 | 219 | 450 |
| 3 | 325 | 448 |
| 4 | 446 | 438 |
| 5 | 576 | 436 |
| 6 | 1075 | 436 |
| 7 | 2745 | 436 |
| 8 | 5235 | 436 |
| 9 | 7560 | 436 |
| 0 | 8010 | 432 |
| 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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#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(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
n1_i |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(sin.f32 normAngle) |
(*.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) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
n1_i |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) |
#s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(-.f32 (/.f32 normAngle u) normAngle) |
(/.f32 normAngle u) |
normAngle |
u |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#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 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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) |
(*.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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
n1_i |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(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) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(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 |
(sin.f32 normAngle) |
(*.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) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
n1_i |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) |
(sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)) |
#s(approx (* (- 1 u) normAngle) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 (/.f32 normAngle u) normAngle) |
(/.f32 normAngle u) |
normAngle |
u |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#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 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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.2421875 | (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) | |
| accuracy | 0.34515983094940594 | (-.f32 (/.f32 normAngle u) normAngle) | |
| accuracy | 0.4622650390737681 | (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.4936777248663633 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.12890625 | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| accuracy | 0.1640625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 1.4936777248663633 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 10.988703644110771 | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) | |
| accuracy | 0.109375 | (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| accuracy | 0.1640625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 8.41584602249057 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| accuracy | 8.967156361062235 | (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.27647334417303293 | #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 | 20.133592156714798 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.12890625 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.12890625 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.1640625 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.4622650390737681 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 78.0ms | 250× | 0 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 929 to 87 computations (90.6% saved)
ival-mult: 21.0ms (35.8% of total)ival-sub: 18.0ms (30.7% of total)ival-sin: 8.0ms (13.6% of total)ival-div: 7.0ms (11.9% of total)ival-add: 4.0ms (6.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(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))) |
(-.f32 #s(literal 1 binary32) u) |
(*.f32 n1_i u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.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))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 (/.f32 normAngle u) normAngle) |
| Outputs |
|---|
(- 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)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(+ (* n0_i (- 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))))))) |
(/ 1 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* normAngle (+ (* 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)))))))))))))) |
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 (* 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))))))))) |
(* normAngle (* u (- (/ 1 u) 1))) |
(* normAngle (- (/ 1 u) 1)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* -1 (* normAngle (* u (- 1 (/ 1 u))))) |
(* -1 (* normAngle (- 1 (/ 1 u)))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ 1 (* -1 u)) |
(* n1_i u) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ (* -1 (* 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)))))))))) |
(+ normAngle (* -1 (* normAngle u))) |
(/ normAngle u) |
(/ (+ normAngle (* -1 (* normAngle u))) u) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 normAngle) |
(- (/ normAngle u) normAngle) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -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))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i (sin (* normAngle u))) |
(* 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)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_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 (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | u | @ | inf | ((* (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 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) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- (/ normAngle u) normAngle) u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (- (/ normAngle u) normAngle)) |
| 4.0ms | normAngle | @ | 0 | ((* (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 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) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- (/ normAngle u) normAngle) u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (- (/ normAngle u) normAngle)) |
| 4.0ms | u | @ | -inf | ((* (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 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) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- (/ normAngle u) normAngle) u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (- (/ normAngle u) normAngle)) |
| 3.0ms | n0_i | @ | inf | ((* (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 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) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- (/ normAngle u) normAngle) u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (- (/ normAngle u) normAngle)) |
| 3.0ms | normAngle | @ | inf | ((* (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 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) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (- (/ normAngle u) normAngle) u) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (- (/ normAngle u) normAngle)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 2925 |
| 1 | 1826 | 2799 |
| 2 | 6497 | 2713 |
| 0 | 8066 | 2518 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 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)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(+ (* n0_i (- 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))))))) |
(/ 1 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* normAngle (+ (* 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)))))))))))))) |
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 (* 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))))))))) |
(* normAngle (* u (- (/ 1 u) 1))) |
(* normAngle (- (/ 1 u) 1)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(sin (* normAngle (- 1 u))) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* -1 (* normAngle (* u (- 1 (/ 1 u))))) |
(* -1 (* normAngle (- 1 (/ 1 u)))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ 1 (* -1 u)) |
(* n1_i u) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ (* -1 (* 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)))))))))) |
(+ normAngle (* -1 (* normAngle u))) |
(/ normAngle u) |
(/ (+ normAngle (* -1 (* normAngle u))) u) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 normAngle) |
(- (/ normAngle u) normAngle) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -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))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i (sin (* normAngle u))) |
(* 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)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_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 (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
| Outputs |
|---|
(- 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 #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)) (-.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 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/36 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 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 #s(literal 1/36 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.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 normAngle normAngle) #s(literal 1 binary32)) u) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (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 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (fma.f32 (-.f32 (fma.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 (fma.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i (*.f32 #s(literal -1/120 binary32) (*.f32 n1_i u))) (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (-.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) u) n0_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n0_i (- 1 u)) |
(*.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 (+.f32 #s(literal -1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) u) n0_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.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 -1/6 binary32) n0_i) (+.f32 (+.f32 #s(literal -1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (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 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32) (*.f32 (*.f32 (+.f32 #s(literal -1 binary32) u) n0_i) #s(literal 1/120 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/5040 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 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (+.f32 #s(literal -1 binary32) u) (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 (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 (-.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u)) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) normAngle) |
(+ (* 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 (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 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* 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 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.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 n1_i n0_i) u n0_i)))) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* 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 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 (-.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 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.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 n1_i n0_i) u n0_i)))) #s(literal -1/6 binary32))) #s(literal -1/6 binary32) (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 n1_i n0_i) u n0_i)))) #s(literal 1/120 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle))) (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 n1_i n0_i) u n0_i)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(/ 1 normAngle) |
(/.f32 #s(literal 1 binary32) normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 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) (*.f32 normAngle normAngle)) (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 n1_i n0_i) u n0_i)) 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 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (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) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) 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 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (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 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (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 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) normAngle) |
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 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) u)) (*.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(* n0_i (* normAngle (- 1 u))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) n0_i) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(*.f32 (*.f32 n0_i (-.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u)) normAngle) |
(* normAngle (+ (* 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 (*.f32 n0_i (fma.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.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 n0_i (-.f32 (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) (*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) normAngle) |
(* normAngle (* u (- (/ 1 u) 1))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* normAngle (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) normAngle) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(* -1 (* normAngle (* u (- 1 (/ 1 u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle (- 1 (/ 1 u)))) |
(neg.f32 (-.f32 normAngle (/.f32 normAngle u))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.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 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) normAngle) normAngle (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (pow.f32 normAngle #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(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 #s(literal -1/2 binary32) normAngle) normAngle (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle))))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)) (*.f32 normAngle normAngle)) (*.f32 (cos.f32 normAngle) normAngle)) u (sin.f32 normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32)) u) (cos.f32 normAngle))) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) u (sin.f32 normAngle)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(* n1_i u) |
(*.f32 n1_i u) |
(* n0_i (sin normAngle)) |
(*.f32 (sin.f32 normAngle) n0_i) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(fma.f32 (-.f32 (*.f32 n1_i 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)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(fma.f32 (fma.f32 n1_i normAngle (*.f32 n0_i (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)) (*.f32 normAngle normAngle)) (*.f32 (cos.f32 normAngle) normAngle)))) 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 (*.f32 #s(literal -1/2 binary32) n0_i) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.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))) u)) u (*.f32 n1_i normAngle)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(/ (* 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 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 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 (fma.f32 (*.f32 (*.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (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)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (*.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))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(*.f32 n0_i (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) 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 n0_i (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (sin.f32 normAngle) u)) (*.f32 normAngle normAngle)) (*.f32 (cos.f32 normAngle) normAngle))) 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 (*.f32 (neg.f32 n0_i) (cos.f32 normAngle)) normAngle (*.f32 (*.f32 n0_i (fma.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32)) u) (cos.f32 normAngle)))) u)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/ normAngle u) |
(/.f32 normAngle u) |
(/ (+ normAngle (* -1 (* normAngle u))) u) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(-.f32 #s(literal 1 binary32) u) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 normAngle) |
(neg.f32 normAngle) |
(- (/ normAngle u) normAngle) |
(-.f32 (/.f32 normAngle u) 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)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(-.f32 #s(literal 1 binary32) u) |
(/ (+ (* 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 (-.f32 #s(literal 1 binary32) u) normAngle)) 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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n1_i (sin (* normAngle u))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 269 |
| 0 | 87 | 245 |
| 1 | 257 | 237 |
| 2 | 1635 | 237 |
| 0 | 8400 | 235 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(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))) |
(-.f32 #s(literal 1 binary32) u) |
(*.f32 n1_i u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.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))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 (/.f32 normAngle u) normAngle) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
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(/.f32 (*.f32 u (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle))) (+.f32 (/.f32 normAngle u) normAngle)) |
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(fma.f32 u (/.f32 normAngle u) (*.f32 u (neg.f32 normAngle))) |
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(*.f32 (/.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) #s(literal -1 binary32))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))))) |
(/.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 #s(literal -1 binary32) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) #s(literal -1 binary32)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/.f32 (+.f32 (pow.f32 (*.f32 normAngle #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) normAngle) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 #s(literal 1 binary32) normAngle) (-.f32 (*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle)) (*.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 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 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle)) |
(*.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 normAngle u) normAngle))) |
(*.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (+.f32 (/.f32 normAngle u) normAngle)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 normAngle u) normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (+.f32 (/.f32 normAngle u) normAngle)) (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (+.f32 (/.f32 normAngle u) normAngle)) (fma.f32 (/.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 normAngle u) normAngle)) (/.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 normAngle u) normAngle)) (*.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (+.f32 (/.f32 normAngle u) normAngle)) (/.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 normAngle u) normAngle)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (fma.f32 (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (*.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 (neg.f32 normAngle) (/.f32 normAngle u))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle)))) (neg.f32 (neg.f32 (+.f32 (/.f32 normAngle u) normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (+.f32 (/.f32 normAngle u) normAngle)) (*.f32 (+.f32 (/.f32 normAngle u) normAngle) (*.f32 normAngle normAngle))) (*.f32 (+.f32 (/.f32 normAngle u) normAngle) (+.f32 (/.f32 normAngle u) normAngle))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (*.f32 (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32))) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle))) (neg.f32 (-.f32 (/.f32 normAngle u) (neg.f32 normAngle)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle))) (neg.f32 (+.f32 (/.f32 normAngle u) normAngle))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (-.f32 (*.f32 normAngle normAngle) (*.f32 (/.f32 normAngle u) (neg.f32 normAngle)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32)))) (neg.f32 (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle)) (-.f32 (/.f32 normAngle u) (neg.f32 normAngle))) |
(/.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle)) (+.f32 (/.f32 normAngle u) normAngle)) |
(/.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (-.f32 (*.f32 normAngle normAngle) (*.f32 (/.f32 normAngle u) (neg.f32 normAngle))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 normAngle u) normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 normAngle u) (neg.f32 normAngle)) (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (*.f32 normAngle normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (-.f32 (*.f32 normAngle normAngle) (*.f32 (/.f32 normAngle u) (neg.f32 normAngle)))) (-.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 normAngle u) normAngle)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 normAngle u) normAngle))) |
(-.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (-.f32 (/.f32 normAngle u) (neg.f32 normAngle))) (/.f32 (*.f32 normAngle normAngle) (-.f32 (/.f32 normAngle u) (neg.f32 normAngle)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)) (+.f32 (/.f32 normAngle u) normAngle)) (/.f32 (*.f32 normAngle normAngle) (+.f32 (/.f32 normAngle u) normAngle))) |
(-.f32 (/.f32 (pow.f32 (/.f32 normAngle u) #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32)))) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 normAngle (+.f32 (/.f32 normAngle u) normAngle) (pow.f32 (/.f32 normAngle u) #s(literal 2 binary32))))) |
(-.f32 (/.f32 normAngle u) normAngle) |
(fma.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u) (neg.f32 normAngle)) |
(fma.f32 (/.f32 #s(literal 1 binary32) u) (pow.f32 (/.f32 #s(literal 1 binary32) normAngle) #s(literal -1 binary32)) (neg.f32 normAngle)) |
(fma.f32 (/.f32 #s(literal 1 binary32) u) normAngle (neg.f32 normAngle)) |
(fma.f32 (neg.f32 normAngle) (/.f32 #s(literal 1 binary32) (neg.f32 u)) (neg.f32 normAngle)) |
(fma.f32 #s(literal -1 binary32) normAngle (/.f32 normAngle u)) |
(fma.f32 (/.f32 normAngle u) #s(literal 1 binary32) (neg.f32 normAngle)) |
(fma.f32 normAngle (/.f32 #s(literal 1 binary32) u) (neg.f32 normAngle)) |
(fma.f32 #s(literal 1 binary32) (/.f32 normAngle u) (neg.f32 normAngle)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 normAngle u) normAngle)) #s(literal -1 binary32)) |
(+.f32 (neg.f32 normAngle) (/.f32 normAngle u)) |
(+.f32 (/.f32 normAngle u) (neg.f32 normAngle)) |
Compiled 44 331 to 3 738 computations (91.6% saved)
28 alts after pruning (27 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 071 | 24 | 1 095 |
| Fresh | 11 | 3 | 14 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 086 | 28 | 1 114 |
| Status | Accuracy | Program |
|---|---|---|
| 81.3% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i)) | |
| 99.0% | (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.9% | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| 97.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.9% | (+.f32 (*.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.3% | (+.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)) | |
| ▶ | 99.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 83.1% | (+.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 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 45.1% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))))))) | |
| ✓ | 45.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
| ▶ | 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
| 48.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ▶ | 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
| 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) | |
| 59.8% | #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)))) | |
| 59.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) | |
| 77.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (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))))) | |
| 77.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))) | |
| 37.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) | |
| 98.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 77.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))) | |
| ▶ | 36.9% | #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)))) |
| 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_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 n1_i n0_i) u))) |
| 98.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
Compiled 1 955 to 1 261 computations (35.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f32 normAngle) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | |
| cost-diff | 64 | (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| cost-diff | 0 | (*.f32 normAngle u) | |
| cost-diff | 0 | (sin.f32 (*.f32 normAngle u)) | |
| cost-diff | 0 | (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| cost-diff | 0 | (*.f32 u n1_i) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) | |
| cost-diff | 160 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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 | (-.f32 #s(literal 1 binary32) u) | |
| 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 | 64 | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 382 |
| 0 | 73 | 380 |
| 1 | 123 | 345 |
| 2 | 190 | 341 |
| 3 | 276 | 341 |
| 4 | 396 | 341 |
| 5 | 516 | 341 |
| 6 | 743 | 341 |
| 7 | 1108 | 341 |
| 8 | 1711 | 341 |
| 9 | 2038 | 341 |
| 10 | 2497 | 341 |
| 11 | 3339 | 341 |
| 12 | 3836 | 341 |
| 13 | 3881 | 341 |
| 14 | 3911 | 341 |
| 15 | 3930 | 341 |
| 16 | 3932 | 341 |
| 17 | 3932 | 341 |
| 18 | 3944 | 341 |
| 19 | 3946 | 341 |
| 20 | 3946 | 341 |
| 0 | 3946 | 331 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
normAngle |
(sin.f32 normAngle) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 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)) (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)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 u n1_i) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
n1_i |
(*.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) |
| Outputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
normAngle |
(sin.f32 normAngle) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 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)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 u n1_i) |
(*.f32 n1_i u) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
n1_i |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) | |
| accuracy | 0.109375 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.1640625 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 8.41584602249057 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| accuracy | 0.0078125 | (/.f32 n1_i (sin.f32 normAngle)) | |
| accuracy | 0.0078125 | (sin.f32 (*.f32 normAngle u)) | |
| accuracy | 1.2404735126515245 | (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| accuracy | 19.836297729329985 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| accuracy | 0.0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.0 | (*.f32 u n1_i) | |
| accuracy | 0.27647334417303293 | #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 u n1_i))) | |
| accuracy | 19.98938477590006 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i)) | |
| accuracy | 0.0 | (-.f32 n1_i n0_i) | |
| accuracy | 0.08984375 | (*.f32 (-.f32 n1_i n0_i) u) | |
| accuracy | 0.27647334417303293 | #s(approx (+ (* (* (sin (* (- 1 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 | 20.4212358610956 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) | |
| accuracy | 0.03959261439884531 | #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) | |
| accuracy | 0.12890625 | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.12890625 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| accuracy | 0.155535906277121 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
| 61.0ms | 250× | 0 | valid |
| 9.0ms | 6× | 1 | valid |
Compiled 693 to 87 computations (87.4% saved)
ival-mult: 26.0ms (51.8% of total)ival-sin: 10.0ms (19.9% of total)ival-add: 6.0ms (12% of total)ival-div: 5.0ms (10% of total)ival-sub: 3.0ms (6% 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 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.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(approx (+ (* (* (sin (* (- 1 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) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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 binary32) u) n0_i (*.f32 u n1_i))) |
(*.f32 u n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(+ (* 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 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* normAngle (- 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))))))))) |
(* n1_i (* normAngle u)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(sin (* normAngle u)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ n1_i (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 (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ 1 (* -1 u)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (- n1_i n0_i)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(* n0_i (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)))))))))))) |
(/ (* 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)))) |
(+ 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)))))))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i 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))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ 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 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(* 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))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(- n1_i n0_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)))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | normAngle | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (- 1 u) n0_i) (* u n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 10.0ms | normAngle | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (- 1 u) n0_i) (* u n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 6.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (- 1 u) n0_i) (* u n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 3.0ms | n1_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (- 1 u) n0_i) (* u n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 3.0ms | u | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* (- 1 u) n0_i) (* u n1_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* u n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 3559 |
| 1 | 2296 | 3336 |
| 0 | 8023 | 3102 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(+ (* 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 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* normAngle (- 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))))))))) |
(* n1_i (* normAngle u)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(sin (* normAngle u)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ n1_i (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 (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(+ 1 (* -1 u)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (- n1_i n0_i)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(* n0_i (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)))))))))))) |
(/ (* 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)))) |
(+ 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)))))))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i 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))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ 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 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(* 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))) |
(* -1 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(- n1_i n0_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)))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 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 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u 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 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u 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 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 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 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 #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 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.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 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.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 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #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 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #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) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(* 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))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u)) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u)) |
(+ (* n0_i (- 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) (-.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 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* 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 (-.f32 n1_i n0_i) u 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) (-.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 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* 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 (-.f32 n1_i n0_i) u 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 #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 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u 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)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 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) (*.f32 normAngle normAngle)) (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 n1_i n0_i) u n0_i)) 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) (*.f32 normAngle normAngle)) (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 #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 n1_i n0_i) u n0_i)) 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) (*.f32 normAngle normAngle)) (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 #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 n1_i n0_i) u n0_i)) normAngle) |
(/ 1 normAngle) |
(/.f32 #s(literal 1 binary32) normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) u) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(* normAngle (- 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) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) 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)))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.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)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* 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))))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.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 -1/5040 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* n1_i (* normAngle u)) |
(*.f32 (*.f32 n1_i normAngle) u) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n1_i)) (pow.f32 u #s(literal 3 binary32)) (*.f32 n1_i u)) normAngle) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i normAngle) u)) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (*.f32 (*.f32 n1_i normAngle) u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(/ (+ (* 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)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(* n1_i (sin (* normAngle u))) |
(*.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 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 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 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (pow.f32 normAngle #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle)))) |
(+ 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 (-.f32 (*.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) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) u) u) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u)) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) u) u) (/.f32 #s(literal -1/5040 binary32) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u)) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle u)) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) 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))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle 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 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.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 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) u)) u (*.f32 n1_i normAngle)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 n0_i (sin.f32 normAngle))) |
(/ (* 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)))) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) u (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 u #s(literal 3 binary32))) (sin.f32 normAngle))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) u) u) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.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)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) u) u) (/.f32 #s(literal -1/5040 binary32) (sin.f32 normAngle)) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 n0_i (sin.f32 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)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) normAngle))) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 n0_i (sin.f32 normAngle))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i) u) u (*.f32 n1_i normAngle)) u) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i) u) u (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 n1_i normAngle) u)) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32)))) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i)) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 n1_i normAngle) u)) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(* -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))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) |
(/ (+ (* 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 (* 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) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* -1 (* n0_i u)) |
(*.f32 (neg.f32 n0_i) u) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) 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 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (-.f32 u (/.f32 (*.f32 n1_i u) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i u) n1_i)) n1_i) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)) n1_i) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) 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 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 311 |
| 0 | 73 | 287 |
| 1 | 230 | 276 |
| 2 | 1366 | 276 |
| 0 | 8235 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.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(approx (+ (* (* (sin (* (- 1 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) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 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 binary32) u) n0_i (*.f32 u n1_i))) |
(*.f32 u n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
| Outputs |
|---|
(*.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))))) |
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))) |
(*.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) n1_i))))) |
(*.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1 binary32) (fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))) (*.f32 (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))) (+.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (fma.f32 (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (*.f32 (/.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (fma.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (*.f32 (neg.f32 n0_i) #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))))) |
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32))))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 u u) (+.f32 u #s(literal 1 binary32))))) |
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) (neg.f32 (/.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(+.f32 (neg.f32 u) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) |
(+.f32 #s(literal 1 binary32) (neg.f32 u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (/.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i))) |
(*.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(*.f32 (*.f32 u (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (/.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i))) |
(*.f32 (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(*.f32 u (-.f32 n1_i n0_i)) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 (neg.f32 n0_i) u) (*.f32 (neg.f32 n0_i) u))) (-.f32 (*.f32 n1_i u) (*.f32 (neg.f32 n0_i) u))) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 u (neg.f32 n0_i)) (*.f32 u (neg.f32 n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 u (neg.f32 n0_i)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 n0_i) u) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (neg.f32 n0_i) u) (*.f32 (neg.f32 n0_i) u)) (*.f32 (*.f32 n1_i u) (*.f32 (neg.f32 n0_i) u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 u (neg.f32 n0_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u (neg.f32 n0_i)) (*.f32 u (neg.f32 n0_i))) (*.f32 (*.f32 n1_i u) (*.f32 u (neg.f32 n0_i)))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u)) (neg.f32 (+.f32 n1_i n0_i))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u)) (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(/.f32 (neg.f32 (*.f32 u (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n1_i n0_i))) |
(/.f32 (neg.f32 (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i)) |
(/.f32 (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) |
(/.f32 (*.f32 u (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (+.f32 n1_i n0_i)) |
(/.f32 (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) |
(/.f32 u (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 n1_i n0_i) (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) (*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 n1_i n0_i) (*.f32 u (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))))) |
(fma.f32 (neg.f32 n0_i) u (*.f32 n1_i u)) |
(fma.f32 n1_i u (*.f32 (neg.f32 n0_i) u)) |
(fma.f32 n1_i u (*.f32 u (neg.f32 n0_i))) |
(fma.f32 u (neg.f32 n0_i) (*.f32 n1_i u)) |
(fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u)) |
(fma.f32 u n1_i (*.f32 u (neg.f32 n0_i))) |
(+.f32 (*.f32 (neg.f32 n0_i) u) (*.f32 n1_i u)) |
(+.f32 (*.f32 u (neg.f32 n0_i)) (*.f32 n1_i u)) |
(+.f32 (*.f32 n1_i u) (*.f32 (neg.f32 n0_i) u)) |
(+.f32 (*.f32 n1_i u) (*.f32 u (neg.f32 n0_i))) |
(*.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 n1_i n0_i)))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) |
(*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i))) |
(*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))))) |
(*.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(*.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i)) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i))) (*.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)))) (+.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) (*.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) (+.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) |
(/.f32 (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) (-.f32 (neg.f32 n0_i) n1_i)) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (fma.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (*.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (*.f32 n1_i n1_i) (*.f32 (neg.f32 n0_i) n1_i)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (neg.f32 (neg.f32 (+.f32 n1_i n0_i)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) |
(/.f32 (-.f32 (*.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (*.f32 (+.f32 n1_i n0_i) (+.f32 n1_i n0_i))) |
(/.f32 (-.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) (pow.f32 n0_i #s(literal 3 binary32)))) (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(/.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (neg.f32 (+.f32 n1_i n0_i))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)) |
(/.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i))))) |
(/.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))) (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i))) |
(-.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i))) |
(-.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(-.f32 n1_i n0_i) |
(fma.f32 (*.f32 n1_i n1_i) (/.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (neg.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)))) |
(fma.f32 (pow.f32 n1_i #s(literal 3 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (neg.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) |
(fma.f32 #s(literal -1 binary32) (neg.f32 n1_i) (neg.f32 n0_i)) |
(fma.f32 #s(literal -1 binary32) n0_i n1_i) |
(fma.f32 n1_i #s(literal 1 binary32) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1 binary32) n1_i (neg.f32 n0_i)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (neg.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)))) |
(+.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (neg.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) |
(+.f32 (neg.f32 n0_i) n1_i) |
(+.f32 n1_i (neg.f32 n0_i)) |
(*.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))) |
(*.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 n1_i u) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))) |
(*.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))) |
(*.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) u))))) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 n1_i #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i)) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 (neg.f32 n1_i) (sin.f32 normAngle))) |
(-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 n1_i) (sin.f32 normAngle))) |
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) n1_i)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle))) (-.f32 normAngle (*.f32 (neg.f32 u) normAngle))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u)))) |
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle)) (*.f32 normAngle (*.f32 (neg.f32 u) normAngle))))) |
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 normAngle (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 #s(literal -1 binary32) (neg.f32 normAngle) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 #s(literal -1 binary32) (neg.f32 normAngle) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u))) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
(+.f32 normAngle (*.f32 normAngle (neg.f32 u))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 1 binary32)) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(*.f32 #s(literal 1 binary32) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 1 binary32)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(*.f32 n1_i (sin.f32 (*.f32 normAngle u))) |
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
Compiled 37 050 to 3 070 computations (91.7% saved)
27 alts after pruning (24 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 789 | 17 | 806 |
| Fresh | 15 | 7 | 22 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 0 | 1 |
| Total | 807 | 27 | 834 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 97.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| 98.7% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.5% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) | |
| ✓ | 99.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 98.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 83.1% | (+.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 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 73.5% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle))))) | |
| ✓ | 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
| 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 #s(approx (* normAngle (- 1 u)) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))))) | |
| ▶ | 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
| 48.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ✓ | 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
| 59.8% | #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)))) | |
| 59.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 98.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 77.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) | |
| ▶ | 36.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
| 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 u (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i))))) | |
| 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i))) | |
| 33.6% | #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 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)) u))) | |
| ▶ | 98.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
| 98.2% | #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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) | |
| 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 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u))) | |
| 7.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) | |
| ▶ | 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
Compiled 1 950 to 1 230 computations (36.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f32 normAngle) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | |
| cost-diff | 64 | (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| cost-diff | 160 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| cost-diff | 0 | (*.f32 normAngle u) | |
| cost-diff | 0 | #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) | |
| cost-diff | 0 | (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| cost-diff | 0 | (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) | |
| cost-diff | 416 | (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) | |
| cost-diff | 64 | (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) | |
| cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| cost-diff | 160 | (*.f32 normAngle #s(literal 1 binary32)) | |
| cost-diff | 160 | (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 463 |
| 0 | 89 | 446 |
| 1 | 159 | 420 |
| 2 | 275 | 417 |
| 3 | 441 | 407 |
| 4 | 662 | 407 |
| 5 | 1033 | 401 |
| 6 | 1999 | 401 |
| 7 | 3161 | 401 |
| 8 | 5219 | 401 |
| 9 | 6456 | 401 |
| 10 | 7374 | 401 |
| 11 | 7649 | 401 |
| 12 | 7833 | 401 |
| 0 | 8035 | 390 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
(*.f32 normAngle #s(literal 1 binary32)) |
normAngle |
#s(literal 1 binary32) |
(*.f32 normAngle (neg.f32 u)) |
(neg.f32 u) |
u |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.f32 n0_i u) |
n0_i |
u |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
#s(approx (sin (* normAngle u)) (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) |
#s(approx (sin (* normAngle u)) (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
n1_i |
(*.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) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle #s(literal 1 binary32)) |
normAngle |
normAngle |
#s(literal 1 binary32) |
(*.f32 normAngle (neg.f32 u)) |
(*.f32 (neg.f32 u) normAngle) |
(neg.f32 u) |
u |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) 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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.f32 n0_i u) |
n0_i |
u |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(approx (sin (* normAngle u)) (*.f32 u normAngle)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(approx (sin (* normAngle u)) (*.f32 u normAngle))) |
#s(approx (sin (* normAngle u)) (*.f32 normAngle u)) |
#s(approx (sin (* normAngle u)) (*.f32 u normAngle)) |
(*.f32 normAngle u) |
(*.f32 u normAngle) |
normAngle |
u |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (fma.f32 #s(approx (sin (* normAngle u)) (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 #s(approx (sin (* normAngle u)) (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 u normAngle)) n1_i) |
#s(approx (sin (* normAngle u)) (*.f32 normAngle u)) |
#s(approx (sin (* normAngle u)) (*.f32 u normAngle)) |
(*.f32 normAngle u) |
(*.f32 u normAngle) |
u |
n1_i |
(*.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) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1015625 | (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) | |
| accuracy | 0.109375 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.1640625 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 8.41584602249057 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| accuracy | 0.0078125 | (/.f32 n1_i (sin.f32 normAngle)) | |
| accuracy | 0.039975076862342585 | #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) | |
| accuracy | 1.2404735126515245 | (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) | |
| accuracy | 19.836297729329985 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| accuracy | 0.0625 | (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) | |
| accuracy | 0.18359375 | (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) | |
| accuracy | 0.27647334417303293 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) | |
| accuracy | 0.3071573417525033 | (-.f32 (/.f32 n0_i u) n0_i) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.5391965885926606 | #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) | |
| accuracy | 19.836297729329985 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) | |
| accuracy | 0.08563944876287138 | (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) | |
| accuracy | 0.12890625 | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.12890625 | (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.4622650390737681 | (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 309.0ms | 250× | 0 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 821 to 106 computations (87.1% saved)
ival-div: 173.0ms (69.3% of total)ival-mult: 52.0ms (20.8% of total)ival-sin: 13.0ms (5.2% of total)ival-add: 6.0ms (2.4% of total)ival-sub: 2.0ms (0.8% of total)ival-neg: 1.0ms (0.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 normAngle #s(literal 1 binary32)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) 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 u) n0_i) n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) |
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
#s(approx (sin (* normAngle u)) (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.f32 n1_i (sin.f32 normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) |
| Outputs |
|---|
(+ 1 (* -1 u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
normAngle |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(* normAngle (+ 1 (* -1 u))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(+ (* 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 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* n0_i (+ 1 (* -1 u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* normAngle (- 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))))))))) |
(* n1_i (* normAngle u)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(sin (* normAngle u)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n1_i (sin (* normAngle u))) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* normAngle (- u 1))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ normAngle (* -1 (* normAngle u))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(/ n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(* n0_i (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 (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (+ n0_i (* -1 (* n0_i u))) 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)))))))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (- n1_i n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(- n1_i n0_i) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (+ (* 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)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
n1_i |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(* n0_i (- (/ 1 u) 1)) |
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (* u (- (/ 1 u) 1))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* 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))))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle 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))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | normAngle | @ | 0 | ((* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) (* normAngle 1) (+ (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* normAngle 1) (* normAngle (neg u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (* (+ (- (/ n0_i 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)) (+ (- (/ n0_i u) n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (- (/ n0_i u) n0_i) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 6.0ms | n0_i | @ | -inf | ((* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) (* normAngle 1) (+ (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* normAngle 1) (* normAngle (neg u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (* (+ (- (/ n0_i 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)) (+ (- (/ n0_i u) n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (- (/ n0_i u) n0_i) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 4.0ms | u | @ | -inf | ((* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) (* normAngle 1) (+ (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* normAngle 1) (* normAngle (neg u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (* (+ (- (/ n0_i 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)) (+ (- (/ n0_i u) n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (- (/ n0_i u) n0_i) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 4.0ms | n0_i | @ | 0 | ((* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) (* normAngle 1) (+ (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* normAngle 1) (* normAngle (neg u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (* (+ (- (/ n0_i 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)) (+ (- (/ n0_i u) n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (- (/ n0_i u) n0_i) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 4.0ms | normAngle | @ | -inf | ((* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) (* normAngle 1) (+ (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* normAngle 1) (* normAngle (neg u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* n1_i u) (* (+ (- (/ n0_i 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)) (+ (- (/ n0_i u) n0_i) n1_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (/ 1 (sin normAngle)) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u)))))) (+ (* (sin (* normAngle u)) n1_i) (* n0_i (sin (* normAngle (- 1 u))))) (/ 1 (sin normAngle)) (sin normAngle) (* (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) n0_i) (- (/ n0_i u) n0_i) (/ n1_i (sin normAngle)) (* normAngle (- 1 u)) (* n0_i (sin (* normAngle (- 1 u)))) (* (sin (* normAngle u)) n1_i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 757 | 4024 |
| 1 | 2594 | 3735 |
| 0 | 8491 | 3462 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1 (* -1 u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
normAngle |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(* normAngle (+ 1 (* -1 u))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(+ (* 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 normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* n0_i (+ 1 (* -1 u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* normAngle (- 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))))))))) |
(* n1_i (* normAngle u)) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(sin (* normAngle u)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(/ 1 (sin normAngle)) |
(sin normAngle) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ n1_i (sin normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n1_i (sin (* normAngle u))) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* normAngle (- u 1))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ normAngle (* -1 (* normAngle u))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(/ n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(* n0_i (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 (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(/ (+ n0_i (* -1 (* n0_i u))) 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)))))))))) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* u (- n1_i n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(- n1_i n0_i) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(/ (+ (* 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)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
n1_i |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(* n0_i (- (/ 1 u) 1)) |
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (* u (- (/ 1 u) 1))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- 1 u)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* 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))))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle 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))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
| Outputs |
|---|
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.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) (-.f32 #s(literal 1 binary32) u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.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) (-.f32 #s(literal 1 binary32) u)) |
normAngle |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32))))) (*.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 n1_i n0_i) u n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.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 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32))))) (*.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 n1_i n0_i) u n0_i)) |
(* normAngle (+ 1 (* -1 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 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 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32))))) (*.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 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.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 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32))))) (*.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 n1_i n0_i) u n0_i)) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(* normAngle u) |
(*.f32 u normAngle) |
(* 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))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 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)))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (*.f32 normAngle normAngle) (*.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 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)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* 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 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32)))) (*.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 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* 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 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal 1/120 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (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 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 1/120 binary32)))) (*.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 n1_i n0_i) u n0_i)) |
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) 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) (*.f32 normAngle normAngle)) (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 n1_i n0_i) u n0_i)) 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) (*.f32 normAngle normAngle)) (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 #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 n1_i n0_i) u n0_i)) 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) (*.f32 normAngle normAngle)) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)))) (*.f32 normAngle normAngle) (*.f32 #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 n1_i n0_i) u n0_i)) normAngle) |
(/ 1 normAngle) |
(/.f32 #s(literal 1 binary32) normAngle) |
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle) |
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle) |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* n0_i (+ 1 (* -1 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -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 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -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 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32)) n0_i)))) (*.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 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* n0_i (* normAngle (- 1 u))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) 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) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.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)))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* 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))))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.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 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* n1_i (* normAngle u)) |
(*.f32 (*.f32 n1_i normAngle) u) |
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n1_i)) (pow.f32 u #s(literal 3 binary32)) (*.f32 n1_i u)) normAngle) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5)))))))) |
(fma.f32 (*.f32 n1_i normAngle) u (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5))))))))) |
(fma.f32 (*.f32 n1_i normAngle) u (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 u normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(* n1_i (sin (* normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) n1_i) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* -1 (* normAngle (- u 1))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #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 (-.f32 (*.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) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 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 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (pow.f32 normAngle #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) u n0_i) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) u) u) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u)) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) u) u) (/.f32 #s(literal -1/5040 binary32) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) u)) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(/ n0_i u) |
(/.f32 n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(/.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 u normAngle)) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) 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))) (pow.f32 u #s(literal 3 binary32)) (*.f32 u normAngle)) |
(* 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 n1_i 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)))) (+ (* -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 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.f32 n1_i 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)))) (+ (* 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 (*.f32 #s(literal -1/2 binary32) n0_i) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (cos.f32 normAngle) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) u)) u (*.f32 n1_i normAngle)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 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))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) u) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) u)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) 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) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) normAngle))) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i) u) u (*.f32 n1_i normAngle)) u) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2)))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i) u) u (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 n1_i normAngle) u)) |
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32)))) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) n1_i)) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i)) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 n1_i normAngle) u)) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(* u (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(- (/ n0_i u) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(*.f32 (-.f32 (/.f32 n0_i (neg.f32 u)) (-.f32 n1_i n0_i)) (neg.f32 u)) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (-.f32 n0_i n1_i) (neg.f32 u)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (neg.f32 u)) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i (*.f32 n1_i u)) |
n1_i |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i n1_i) |
(* n0_i (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i) |
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(/ (* 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 (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* n0_i (* u (- (/ 1 u) 1))) |
(*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u (/.f32 (*.f32 n1_i u) n0_i)) n0_i) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(fma.f32 (+.f32 (/.f32 n1_i n0_i) (/.f32 #s(literal 1 binary32) u)) n0_i (neg.f32 n0_i)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(neg.f32 (*.f32 (+.f32 n0_i (/.f32 n0_i (neg.f32 u))) u)) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(neg.f32 (+.f32 n0_i (/.f32 n0_i (neg.f32 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(* u (- (/ n0_i u) n0_i)) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(*.f32 (fma.f32 (-.f32 (/.f32 n0_i u) n0_i) (/.f32 u n1_i) u) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(*.f32 (+.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal 1 binary32)) n1_i) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 u normAngle))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (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 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (-.f32 (/.f32 n0_i u) n0_i) (/.f32 u n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal -1 binary32) #s(literal -1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 u normAngle))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 355 |
| 0 | 89 | 321 |
| 1 | 299 | 319 |
| 2 | 1871 | 319 |
| 0 | 8569 | 311 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 normAngle #s(literal 1 binary32)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) 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 u) n0_i) n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) |
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
#s(approx (sin (* normAngle u)) (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.f32 n1_i (sin.f32 normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (-.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle))))))) |
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal -1 binary32))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (*.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
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(*.f32 #s(literal 1 binary32) normAngle) |
(*.f32 normAngle #s(literal 1 binary32)) |
normAngle |
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(/.f32 (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))) (pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) #s(literal 2 binary32)))) |
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(*.f32 u (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32))) (fma.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 n1_i u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32))) (fma.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 n1_i u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) (*.f32 (*.f32 n1_i u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) (*.f32 (*.f32 n1_i u) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) u)) (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) u)) (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (*.f32 u (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)))) (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (neg.f32 (*.f32 u (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))))) (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) u) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (*.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) u) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) |
(/.f32 (*.f32 u (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i))) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (*.f32 u (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32)))) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) |
(fma.f32 (-.f32 (/.f32 n0_i u) n0_i) u (*.f32 n1_i u)) |
(fma.f32 n1_i u (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(fma.f32 n1_i u (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 u (-.f32 (/.f32 n0_i u) n0_i) (*.f32 n1_i u)) |
(fma.f32 u n1_i (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(fma.f32 u n1_i (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) |
(+.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 n1_i u)) |
(+.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 n1_i u)) |
(+.f32 (*.f32 n1_i u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(+.f32 (*.f32 n1_i u) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) |
(*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(*.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (+.f32 n1_i (/.f32 n0_i u)) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 (+.f32 n1_i (/.f32 n0_i u)) (+.f32 n1_i (/.f32 n0_i u)) (fma.f32 n0_i n0_i (*.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 n1_i n1_i) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (/.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (fma.f32 (/.f32 (*.f32 n1_i n1_i) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (/.f32 (*.f32 n1_i n1_i) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (*.f32 (/.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (/.f32 (*.f32 n1_i n1_i) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))))) |
(/.f32 (+.f32 (pow.f32 (+.f32 n1_i (/.f32 n0_i u)) #s(literal 3 binary32)) (pow.f32 (neg.f32 n0_i) #s(literal 3 binary32))) (fma.f32 (+.f32 n1_i (/.f32 n0_i u)) (+.f32 n1_i (/.f32 n0_i u)) (-.f32 (*.f32 n0_i n0_i) (*.f32 (+.f32 n1_i (/.f32 n0_i u)) (neg.f32 n0_i))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) (fma.f32 #s(literal -1 binary32) n0_i n1_i)) (*.f32 (/.f32 n0_i u) (fma.f32 #s(literal -1 binary32) n0_i n1_i))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (neg.f32 (-.f32 n0_i n1_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (-.f32 n0_i n1_i)) (neg.f32 (-.f32 n0_i n1_i))) (*.f32 (/.f32 n0_i u) (neg.f32 (-.f32 n0_i n1_i)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 n1_i n1_i) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) (neg.f32 (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (*.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)))) (neg.f32 (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (*.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (*.f32 n1_i n1_i))) (*.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (+.f32 n0_i n1_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 (/.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 u (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (neg.f32 n0_i)) (+.f32 n0_i n1_i)) (*.f32 (neg.f32 (neg.f32 u)) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (neg.f32 (neg.f32 u)) (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (neg.f32 n0_i)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 (neg.f32 (neg.f32 u)) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (neg.f32 (neg.f32 u)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 (*.f32 n0_i #s(literal 1 binary32)) (+.f32 n0_i n1_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 (*.f32 n0_i #s(literal 1 binary32)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 u (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (+.f32 n0_i n1_i)) (*.f32 (neg.f32 u) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (neg.f32 u) (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 (neg.f32 u) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (neg.f32 u) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 n0_i n1_i)) (*.f32 (neg.f32 (/.f32 u n0_i)) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (neg.f32 (/.f32 u n0_i)) (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 (neg.f32 (/.f32 u n0_i)) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (neg.f32 (/.f32 u n0_i)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 n0_i (+.f32 n0_i n1_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 n0_i (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 u (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i)))) (*.f32 (/.f32 u n0_i) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (/.f32 u n0_i) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n1_i))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32))) (+.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i))) |
(/.f32 (-.f32 (*.f32 n1_i n1_i) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))) (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))) |
(/.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (*.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i))) (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n1_i n1_i (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))))) |
(/.f32 (neg.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) (fma.f32 n1_i n1_i (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))) |
(/.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))) (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)))) |
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(*.f32 normAngle (*.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 normAngle normAngle) (+.f32 normAngle (*.f32 u normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (+.f32 normAngle (*.f32 u normAngle))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 normAngle normAngle) (+.f32 normAngle (*.f32 u normAngle))) (/.f32 (*.f32 normAngle normAngle) (+.f32 normAngle (*.f32 u normAngle))) (fma.f32 (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (+.f32 normAngle (*.f32 u normAngle))) (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (+.f32 normAngle (*.f32 u normAngle))) (*.f32 (/.f32 (*.f32 normAngle normAngle) (+.f32 normAngle (*.f32 u normAngle))) (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (+.f32 normAngle (*.f32 u normAngle))))))) |
(/.f32 (-.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (+.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (*.f32 normAngle (*.f32 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 (neg.f32 (-.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (*.f32 normAngle normAngle))) (neg.f32 (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 normAngle normAngle) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (+.f32 normAngle (*.f32 u normAngle))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 (neg.f32 u) normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle) (*.f32 normAngle normAngle))))) |
(/.f32 (-.f32 (*.f32 (*.f32 normAngle normAngle) (+.f32 normAngle (*.f32 u normAngle))) (*.f32 (+.f32 normAngle (*.f32 u normAngle)) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)))) (*.f32 (+.f32 normAngle (*.f32 u normAngle)) (+.f32 normAngle (*.f32 u normAngle)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (-.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (*.f32 normAngle normAngle)) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) |
(/.f32 (neg.f32 (-.f32 (*.f32 normAngle normAngle) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)))) (neg.f32 (+.f32 normAngle (*.f32 u normAngle)))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 (neg.f32 u) normAngle) normAngle))))) |
(/.f32 (neg.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32)))) (neg.f32 (fma.f32 (*.f32 (neg.f32 u) normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle) (*.f32 normAngle normAngle)))) |
(/.f32 (-.f32 (*.f32 normAngle normAngle) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32))) (+.f32 normAngle (*.f32 u normAngle))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (-.f32 (*.f32 normAngle normAngle) (*.f32 (*.f32 (neg.f32 u) normAngle) normAngle)))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))) (fma.f32 (*.f32 (neg.f32 u) normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle) (*.f32 normAngle normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 normAngle (*.f32 u normAngle)) (-.f32 (*.f32 normAngle normAngle) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 u) normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 normAngle (*.f32 u normAngle)) (-.f32 (*.f32 normAngle normAngle) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 (neg.f32 u) normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32))))) |
(-.f32 (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 (*.f32 normAngle normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle))) |
(-.f32 (/.f32 (*.f32 normAngle normAngle) (+.f32 normAngle (*.f32 u normAngle))) (/.f32 (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)) (+.f32 normAngle (*.f32 u normAngle)))) |
(-.f32 normAngle (*.f32 u normAngle)) |
(fma.f32 (*.f32 (neg.f32 u) #s(literal 1 binary32)) normAngle normAngle) |
(fma.f32 (neg.f32 normAngle) u normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle) |
(fma.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 1 binary32) normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 u (neg.f32 normAngle) normAngle) |
(fma.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle) normAngle) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 normAngle (*.f32 #s(literal 1 binary32) (neg.f32 u)) normAngle) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(pow.f32 (/.f32 (+.f32 normAngle (*.f32 u normAngle)) (-.f32 (*.f32 normAngle normAngle) (pow.f32 (*.f32 u normAngle) #s(literal 2 binary32)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 (*.f32 (neg.f32 u) normAngle) (-.f32 (*.f32 (neg.f32 u) normAngle) normAngle) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1 binary32) (pow.f32 (*.f32 u normAngle) #s(literal 3 binary32)) (pow.f32 normAngle #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) n0_i) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (-.f32 (*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) n0_i)) (*.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) n0_i))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n0_i (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (*.f32 n0_i (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (-.f32 (*.f32 (*.f32 n0_i (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle))) (*.f32 n0_i (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)))) (*.f32 (*.f32 n0_i (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle))))))) |
(fma.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) n0_i)) |
(fma.f32 n0_i (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 n0_i (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)))) |
(+.f32 (*.f32 (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)) n0_i)) |
(+.f32 (*.f32 n0_i (*.f32 (cos.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) (*.f32 n0_i (*.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle)) (cos.f32 normAngle)))) |
(*.f32 #s(approx (sin (* normAngle u)) (*.f32 u normAngle)) n1_i) |
(*.f32 n1_i #s(approx (sin (* normAngle u)) (*.f32 u normAngle))) |
Compiled 41 071 to 3 439 computations (91.6% saved)
33 alts after pruning (26 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 843 | 18 | 861 |
| Fresh | 11 | 8 | 19 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 855 | 33 | 888 |
| Status | Accuracy | Program |
|---|---|---|
| 98.9% | (+.f32 (*.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 83.1% | (+.f32 (*.f32 #s(approx (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| ✓ | 99.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| ✓ | 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
| 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 #s(approx (* normAngle (- 1 u)) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))))) | |
| ✓ | 73.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
| 72.0% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) #s(approx (* n0_i (sin (* normAngle (- 1 u)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) n0_i)))) | |
| 48.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ✓ | 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
| 98.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 59.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) | |
| ✓ | 36.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
| 36.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) #s(approx (/ n1_i (sin normAngle)) (/.f32 n1_i normAngle)))) | |
| 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 u (/.f32 #s(literal 1 binary32) (-.f32 n1_i n0_i))))) | |
| 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i))) | |
| 86.6% | #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 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) u))) | |
| 79.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (+.f32 n0_i n1_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n0_i n1_i))) u))) | |
| 89.6% | #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 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n0_i n1_i))) u))) | |
| 33.6% | #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 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)) u))) | |
| 98.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u))) | |
| 59.8% | #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 #s(literal 1 binary32) u) n0_i))) | |
| ✓ | 98.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
| 98.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) u)) n1_i) 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)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u))) | |
| 86.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) u))) | |
| 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 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u))) | |
| 7.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) | |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal 1 binary32)) n1_i)) u))) | |
| 37.7% | #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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) (fma.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i (*.f32 n1_i u))))) | |
| 59.7% | #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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) | |
| 59.8% | #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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) | |
| 98.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)))))) | |
| ✓ | 37.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
Compiled 4 527 to 1 292 computations (71.5% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (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 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)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) #s(approx (/ n1_i (sin normAngle)) (/.f32 n1_i normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) 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 n0_i u) (-.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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) 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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 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 (+ (* (* (sin (* (- 1 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 #s(literal 1 binary32) (-.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 (+.f32 #s(approx (- (/ n0_i u) n0_i) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) u)) n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (fma.f32 (*.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 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i 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)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal 1 binary32)) n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 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 (-.f32 (*.f32 n0_i (+.f32 n0_i n1_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.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 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u 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)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) #s(approx (* n0_i (sin (* normAngle (- 1 u)))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) n0_i)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (-.f32 (-.f32 (/.f32 n0_i u) 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 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) u))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (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))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 #s(approx (* normAngle (- 1 u)) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))))) |
(+.f32 (*.f32 (*.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (*.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 u u))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
(+.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i)) |
(+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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 #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)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
5 calls:
| 48.0ms | n1_i |
| 26.0ms | normAngle |
| 24.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 22.0ms | n0_i |
| 22.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 1 | normAngle |
| 99.0% | 1 | u |
| 99.0% | 1 | n0_i |
| 99.0% | 1 | n1_i |
| 99.0% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (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 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)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) #s(approx (/ n1_i (sin normAngle)) (/.f32 n1_i normAngle)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) 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 n0_i u) (-.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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) 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 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 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 (+ (* (* (sin (* (- 1 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 #s(literal 1 binary32) (-.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 (+.f32 #s(approx (- (/ n0_i u) n0_i) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) u)) n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (fma.f32 (*.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 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i 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)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal 1 binary32)) n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 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 (-.f32 (*.f32 n0_i (+.f32 n0_i n1_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.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 #s(literal 1 binary32) (+.f32 n0_i n1_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u 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)) (*.f32 #s(approx (sin (* normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (+ (* normAngle 1) (* normAngle (neg u)))) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
5 calls:
| 13.0ms | n1_i |
| 12.0ms | u |
| 12.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 10.0ms | normAngle |
| 10.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | normAngle |
| 98.6% | 1 | u |
| 98.6% | 1 | n0_i |
| 98.6% | 1 | n1_i |
| 98.6% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (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 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)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.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 (-.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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
5 calls:
| 39.0ms | n1_i |
| 4.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 4.0ms | u |
| 4.0ms | normAngle |
| 4.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.8% | 1 | normAngle |
| 73.6% | 3 | n0_i |
| 73.0% | 3 | n1_i |
| 59.8% | 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)) |
| 63.1% | 2 | u |
Compiled 29 to 33 computations (-13.8% saved)
Total -9.5b remaining (-47.8%)
Threshold costs -9.5b (-47.8%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (neg.f32 n0_i)) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
5 calls:
| 2.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 1.0ms | n1_i |
| 1.0ms | n0_i |
| 1.0ms | normAngle |
| 1.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 37.7% | 1 | normAngle |
| 37.7% | 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)) |
| 37.7% | 1 | u |
| 37.7% | 1 | n1_i |
| 37.7% | 1 | n0_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.731551832728261e-27 | 1.307973751315214e-26 |
| 0.0ms | -2.5384175749379667e-26 | -1.977720819856533e-26 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 199 |
| 1 | 80 | 179 |
| 2 | 130 | 175 |
| 3 | 214 | 167 |
| 4 | 311 | 166 |
| 5 | 415 | 165 |
| 6 | 627 | 165 |
| 7 | 2562 | 165 |
| 8 | 4355 | 165 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(if (<=.f32 n0_i #s(literal -6490371/324518553658426726783156020576256 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 (-.f32 #s(literal 1 binary32) u) n0_i))) (if (<=.f32 n0_i #s(literal 6490371/1298074214633706907132624082305024 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
| Outputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(if (<=.f32 n0_i #s(literal -6490371/324518553658426726783156020576256 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 (-.f32 #s(literal 1 binary32) u) n0_i))) (if (<=.f32 n0_i #s(literal 6490371/1298074214633706907132624082305024 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) |
(if (or (<=.f32 n0_i #s(literal -6490371/324518553658426726783156020576256 binary32)) (not (<=.f32 n0_i #s(literal 6490371/1298074214633706907132624082305024 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 (-.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 (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 567 | 2925 |
| 1 | 1826 | 2799 |
| 2 | 6497 | 2713 |
| 0 | 8066 | 2518 |
| 0 | 702 | 3559 |
| 1 | 2296 | 3336 |
| 0 | 8023 | 3102 |
| 0 | 51 | 269 |
| 0 | 87 | 245 |
| 1 | 257 | 237 |
| 2 | 1635 | 237 |
| 0 | 8400 | 235 |
| 0 | 757 | 4024 |
| 1 | 2594 | 3735 |
| 0 | 8491 | 3462 |
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3458 | 1384 |
| 0 | 8472 | 1298 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 313 to 157 computations (49.8% saved)
(abs normAngle)
Compiled 520 to 182 computations (65% saved)
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