
Time bar (total: 9.7s)
| 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 |
| 622.0ms | 2 024× | 0 | invalid |
ival-sin: 499.0ms (24.5% of total)ival-mult: 441.0ms (21.7% of total)ival-<=: 325.0ms (16% of total)const: 262.0ms (12.9% of total)ival-div: 206.0ms (10.1% of total)ival-sub: 106.0ms (5.2% of total)ival-and: 57.0ms (2.8% of total)ival-pi: 55.0ms (2.7% of total)ival-add: 54.0ms (2.7% of total)exact: 25.0ms (1.2% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 0 | - | 15 | (3.69989407373869e-37 7.284613161573361e-7 3.451155905098232e-32 -7.61502789714541e-8) | (*.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 | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 5 |
| - | 3 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 5 |
| - | 3 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 253 |
| 1 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 58.0ms | 498× | 0 | valid |
| 3.0ms | 14× | 1 | valid |
Compiled 332 to 72 computations (78.3% saved)
ival-mult: 17.0ms (43.4% of total)ival-sin: 12.0ms (30.6% of total)ival-div: 4.0ms (10.2% of total)ival-add: 2.0ms (5.1% of total)ival-sub: 2.0ms (5.1% 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 | 741 | 283 |
| 3 | 1977 | 255 |
| 4 | 3516 | 252 |
| 5 | 6491 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 48 | 21 |
| 2 | 88 | 20 |
| 3 | 156 | 18 |
| 4 | 203 | 18 |
| 5 | 238 | 18 |
| 6 | 282 | 18 |
| 7 | 367 | 18 |
| 8 | 510 | 18 |
| 9 | 609 | 18 |
| 10 | 735 | 18 |
| 11 | 1173 | 18 |
| 12 | 1886 | 18 |
| 13 | 2293 | 18 |
| 14 | 2312 | 18 |
| 15 | 2313 | 18 |
| 16 | 2313 | 18 |
| 0 | 2313 | 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 |
|---|---|---|
| ▶ | 97.9% | (+.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 | 156 | 86 |
| 4 | 203 | 86 |
| 5 | 238 | 86 |
| 6 | 282 | 86 |
| 7 | 367 | 86 |
| 8 | 510 | 86 |
| 9 | 609 | 86 |
| 10 | 735 | 86 |
| 11 | 1173 | 86 |
| 12 | 1886 | 86 |
| 13 | 2293 | 86 |
| 14 | 2312 | 86 |
| 15 | 2313 | 86 |
| 16 | 2313 | 86 |
| 0 | 2313 | 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 | 0.14453125 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.171875 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.375 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.3422816269570332 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 28.0ms | 249× | 0 | valid |
| 2.0ms | 7× | 1 | valid |
Compiled 204 to 36 computations (82.4% saved)
ival-mult: 8.0ms (41% of total)ival-sin: 6.0ms (30.7% of total)ival-div: 2.0ms (10.2% of total)ival-add: 1.0ms (5.1% of total)ival-sub: 1.0ms (5.1% 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 | |
|---|---|---|---|---|
| 11.0ms | 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)) |
| 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))) (* (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 | 3391 | 1384 |
| 0 | 8129 | 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 (*.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 (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 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 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 | 4845 | 52 |
| 0 | 8489 | 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)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 263 | 16 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 264 | 16 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 81.4% | (+.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)) | |
| ▶ | 97.8% | (+.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)) |
| 81.4% | (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.7% | (+.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)))) | |
| 97.4% | (+.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)) | |
| ▶ | 97.7% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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)) |
| 89.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.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) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.9% | (+.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)) | |
| ▶ | 98.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 97.6% | (+.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)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 81.8% | (+.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)) | |
| ▶ | 43.0% | (*.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))))) |
| ▶ | 39.3% | #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))) |
| 54.7% | #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))))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
Compiled 932 to 648 computations (30.5% 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 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 544 | (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 3616 | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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)) | |
| cost-diff | 0 | (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 192 | (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| cost-diff | 3616 | (+.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)) | |
| 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 | 50 | 461 |
| 0 | 85 | 443 |
| 1 | 136 | 403 |
| 2 | 210 | 403 |
| 3 | 297 | 403 |
| 4 | 421 | 403 |
| 5 | 579 | 401 |
| 6 | 763 | 401 |
| 7 | 1095 | 401 |
| 8 | 1606 | 401 |
| 9 | 2064 | 401 |
| 10 | 2603 | 401 |
| 11 | 3175 | 401 |
| 12 | 3329 | 401 |
| 13 | 3372 | 401 |
| 14 | 3388 | 401 |
| 15 | 3389 | 401 |
| 16 | 3389 | 401 |
| 0 | 3389 | 398 |
| 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 #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 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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
n0_i |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(sin.f32 normAngle) |
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 |
(*.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 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
normAngle |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u) |
u |
(/.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 #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 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 (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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 normAngle) |
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 |
(*.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 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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 (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 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.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 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.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 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
normAngle |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u) |
u |
(/.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 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.171875 | (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.30859375 | (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| accuracy | 0.375 | (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.3422816269570332 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.14453125 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.1796875 | (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| accuracy | 0.2734375 | (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| accuracy | 1.3422816269570332 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.12109375 | (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| accuracy | 0.14453125 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 8.073780468499566 | (*.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 | 9.529105738560114 | (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 | 0.32605093481474134 | #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 | 19.736121491970074 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.11711291507754662 | #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) | |
| accuracy | 0.14453125 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.171875 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.375 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 103.0ms | 249× | 0 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 897 to 90 computations (90% saved)
ival-sin: 39.0ms (45.7% of total)ival-mult: 29.0ms (34% of total)ival-div: 9.0ms (10.5% of total)ival-add: 5.0ms (5.9% of total)ival-sub: 2.0ms (2.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (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 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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 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)))) |
(/ 1 (- 1 u)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 4))) (+ (* -1/5040 (pow (- 1 u) 5)) (* 1/5040 (/ 1 (- 1 u)))))))) (* 1/120 (/ 1 (- 1 u)))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 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))))))))) |
(/ (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)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 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 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos 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 (+ 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))) |
(/ (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)))) |
(/ (sin normAngle) (sin (* normAngle (+ 1 (* -1 u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 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 | @ | 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 normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ normAngle (/ 1 (- 1 u))) (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* n0_i (sin (* (- 1 u) normAngle))) (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i)) |
| 5.0ms | 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 normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ normAngle (/ 1 (- 1 u))) (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* n0_i (sin (* (- 1 u) normAngle))) (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i)) |
| 4.0ms | n1_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 normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ normAngle (/ 1 (- 1 u))) (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* n0_i (sin (* (- 1 u) normAngle))) (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i)) |
| 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 normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ normAngle (/ 1 (- 1 u))) (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* n0_i (sin (* (- 1 u) normAngle))) (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i)) |
| 3.0ms | 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 normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ normAngle (/ 1 (- 1 u))) (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* n0_i (sin (* (- 1 u) normAngle))) (* (* (sin (/ normAngle (/ 1 (- 1 u)))) (/ 1 (sin normAngle))) n0_i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 626 | 3270 |
| 1 | 2017 | 3126 |
| 2 | 7160 | 3066 |
| 0 | 8357 | 2832 |
| 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)))) |
(/ 1 (- 1 u)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 4))) (+ (* -1/5040 (pow (- 1 u) 5)) (* 1/5040 (/ 1 (- 1 u)))))))) (* 1/120 (/ 1 (- 1 u)))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 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))))))))) |
(/ (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)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(* n0_i (sin (* normAngle (- 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 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos 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 (+ 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))) |
(/ (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)))) |
(/ (sin normAngle) (sin (* normAngle (+ 1 (* -1 u))))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 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 (*.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)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 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 (*.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)) (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 (+.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)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 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) |
(+ (* 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 (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) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 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 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.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 #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 (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) (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 (*.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 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 #s(literal -1/120 binary32) u) n1_i)))) (fma.f32 (*.f32 #s(literal -1/6 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)))) #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 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 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 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle)))) (*.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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* 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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.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 (+.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))) (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 (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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* 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) (-.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 (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) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.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 (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) (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 (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) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.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 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.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 (fma.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) |
(+ 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 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.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) (fma.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) |
(/ 1 (- 1 u)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) normAngle)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(fma.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 4))) (+ (* -1/5040 (pow (- 1 u) 5)) (* 1/5040 (/ 1 (- 1 u)))))))) (* 1/120 (/ 1 (- 1 u)))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (/.f32 #s(literal 1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) 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 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32)) normAngle) normAngle (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(fma.f32 (*.f32 n0_i normAngle) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (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))))) |
(* 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 n0_i normAngle) (-.f32 #s(literal 1 binary32) u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (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))))) |
(/ (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)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 (neg.f32 (cos.f32 normAngle)) u) (/.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 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u) (*.f32 normAngle normAngle) (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))) (+ (* 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 (*.f32 (neg.f32 normAngle) n0_i) (*.f32 (cos.f32 normAngle) (/.f32 u (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 #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) |
(+ (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 (-.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 (*.f32 (sin.f32 normAngle) 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 (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 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(fma.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(fma.f32 (fma.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) u)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (neg.f32 u) (fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) #s(literal -1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) (fma.f32 #s(literal 1/2 binary32) (*.f32 normAngle normAngle) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))) u (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 u (*.f32 (*.f32 (cos.f32 normAngle) 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 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) normAngle) (*.f32 (*.f32 (neg.f32 normAngle) n0_i) (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 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (*.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 normAngle) n0_i) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(* 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 (/.f32 normAngle u) normAngle) u) |
(/ (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)) |
(/ (sin normAngle) (sin (* normAngle (+ 1 (* -1 u))))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(/ (* 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 | 50 | 292 |
| 0 | 85 | 254 |
| 1 | 256 | 244 |
| 2 | 1751 | 244 |
| 0 | 8396 | 243 |
| 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 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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 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 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (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))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (neg.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 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal -1 binary32)) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32))) |
(*.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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 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 (-.f32 (*.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 (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))))) |
(*.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (pow.f32 (*.f32 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) (-.f32 (*.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 (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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (*.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 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))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))) |
(*.f32 #s(literal 1 binary32) (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))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) (neg.f32 (sin.f32 normAngle))) (*.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32))) (sin.f32 normAngle)) (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (sin.f32 normAngle)) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (neg.f32 (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (sin.f32 normAngle)) (fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i))) (+.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 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) |
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(fma.f32 (/.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(fma.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 1 binary32)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
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(fma.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(fma.f32 #s(literal -1 binary32) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 n1_i #s(literal 1 binary32)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) #s(literal 1 binary32)) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) #s(literal -1 binary32)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) #s(literal -1 binary32)) |
(+.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))) |
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(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(-.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(pow.f32 (exp.f32 (log.f32 (sin.f32 normAngle))) #s(literal -1 binary32)) |
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(fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
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(fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
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(fma.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(fma.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(*.f32 (*.f32 normAngle #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) u)) |
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(/.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)))) |
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(/.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))) |
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(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) normAngle)) |
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
(-.f32 #s(literal 0 binary32) (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
(fma.f32 (neg.f32 normAngle) #s(literal -1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 (neg.f32 normAngle) #s(literal -1 binary32) (*.f32 normAngle (neg.f32 u))) |
(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 #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))) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle) #s(literal -1 binary32)) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
(+.f32 normAngle (*.f32 normAngle (neg.f32 u))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)) #s(literal -1 binary32))) |
(neg.f32 (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
(*.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 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (/.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (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))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (neg.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 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) #s(literal -1 binary32)) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 (sin.f32 normAngle)))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32))) |
(*.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.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) (-.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 normAngle (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/2 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/2 binary32)))) |
(*.f32 (*.f32 normAngle #s(literal -1 binary32)) (+.f32 #s(literal -1 binary32) u)) |
(*.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 (neg.f32 normAngle) (+.f32 #s(literal -1 binary32) u)) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)))) |
(*.f32 #s(literal -1 binary32) (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 #s(literal 1 binary32) (*.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 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) 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 (neg.f32 normAngle) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) normAngle)) |
(/.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)))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
(-.f32 #s(literal 0 binary32) (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
(fma.f32 (neg.f32 normAngle) #s(literal -1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 (neg.f32 normAngle) #s(literal -1 binary32) (*.f32 normAngle (neg.f32 u))) |
(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 #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))) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle) #s(literal -1 binary32)) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
(+.f32 normAngle (*.f32 normAngle (neg.f32 u))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)) #s(literal -1 binary32))) |
(neg.f32 (*.f32 (+.f32 #s(literal -1 binary32) u) normAngle)) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(*.f32 #s(literal 1 binary32) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (/.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i)))) |
(*.f32 #s(literal -1 binary32) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (/.f32 n0_i (sin.f32 normAngle))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (neg.f32 n0_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/.f32 n0_i (/.f32 (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 (sin.f32 normAngle) n0_i)) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i)) |
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(-.f32 #s(literal 0 binary32) (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i)) #s(literal -1 binary32))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
Compiled 44 538 to 4 089 computations (90.8% saved)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 136 | 29 | 1 165 |
| Fresh | 8 | 3 | 11 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 148 | 33 | 1 181 |
| Status | Accuracy | Program |
|---|---|---|
| 43.0% | (/.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)) | |
| 86.4% | (/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (sin.f32 normAngle))) | |
| 98.9% | (+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 94.8% | (+.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) (exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32)))))) n1_i)) | |
| ▶ | 97.8% | (+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 96.3% | (+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 98.7% | (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.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)) | |
| ▶ | 98.6% | (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 97.7% | (+.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)))) | |
| 98.7% | (+.f32 (*.f32 (/.f32 n0_i (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)) | |
| 98.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 (+.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)) | |
| 58.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (pow.f32 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle)) #s(literal -1/2 binary32))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.6% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (/ normAngle (/ 1 (- 1 u))) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.8% | (+.f32 (*.f32 (*.f32 #s(approx (sin (* (- 1 u) normAngle)) (*.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)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ▶ | 99.1% | (+.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)) |
| 82.7% | (+.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)) | |
| ✓ | 43.2% | (*.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))))) |
| 43.0% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i #s(approx (sin (* (- 1 u) normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| 74.5% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| 32.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) | |
| 42.9% | (*.f32 #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| 46.1% | #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)) | |
| 39.3% | #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))) | |
| 39.3% | #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))) | |
| 57.8% | #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)))) | |
| 57.8% | #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)))) | |
| 39.3% | #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))) | |
| 74.9% | #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)))))) | |
| 98.5% | #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)))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (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 (-.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 2 145 to 1 439 computations (32.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 64 | (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| cost-diff | 352 | (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))) | |
| cost-diff | 544 | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) | |
| cost-diff | 0 | #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 0 | (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 64 | (+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (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 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 | 56 | 526 |
| 0 | 88 | 526 |
| 1 | 134 | 486 |
| 2 | 221 | 476 |
| 3 | 397 | 470 |
| 4 | 659 | 470 |
| 5 | 1075 | 464 |
| 6 | 1976 | 464 |
| 7 | 3090 | 464 |
| 8 | 6200 | 464 |
| 0 | 8073 | 452 |
| 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(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)) #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 |
(+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
#s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u) |
u |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n1_i |
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) |
#s(literal 1 binary32) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))) |
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
normAngle |
(-.f32 #s(literal 1 binary32) u) |
u |
(/.f32 n0_i (sin.f32 normAngle)) |
n0_i |
(sin.f32 normAngle) |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
| Outputs |
|---|
(+.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)) #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 |
(+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)) (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
#s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u) |
u |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n1_i |
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
#s(literal 1 binary32) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))) |
(/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) normAngle))) |
(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) |
normAngle |
(-.f32 #s(literal 1 binary32) u) |
u |
(/.f32 n0_i (sin.f32 normAngle)) |
n0_i |
(sin.f32 normAngle) |
(*.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 |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.14453125 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.21875 | (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.2421875 | (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) | |
| accuracy | 0.3671875 | (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))) | |
| accuracy | 0.1640625 | (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.21343191658215613 | #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) | |
| accuracy | 0.2734375 | (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 1.3422816269570332 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.06640625 | (+.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 | 0.23172628162065376 | (-.f32 (/.f32 n0_i u) n0_i) | |
| accuracy | 0.32605093481474134 | #s(approx (+ (* (* (sin (* (- 1 u) 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 | 0.0 | (-.f32 n1_i n0_i) | |
| accuracy | 0.06640625 | (*.f32 (-.f32 n1_i n0_i) u) | |
| accuracy | 0.32605093481474134 | #s(approx (+ (* (* (sin (* (- 1 u) 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 | 19.69720275388584 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) | |
| accuracy | 0.0859375 | (+.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 | 0.11711291507754662 | #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) | |
| accuracy | 0.171875 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| accuracy | 0.24460149136345166 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
| 360.0ms | 249× | 0 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 930 to 98 computations (89.5% saved)
ival-div: 286.0ms (83.3% of total)ival-sin: 18.0ms (5.2% of total)ival-add: 17.0ms (4.9% of total)ival-mult: 17.0ms (4.9% of total)ival-sub: 5.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 #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) |
(*.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) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))) |
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* 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) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(/ 1 (- 1 u)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 4))) (+ (* -1/5040 (pow (- 1 u) 5)) (* 1/5040 (/ 1 (- 1 u)))))))) (* 1/120 (/ 1 (- 1 u)))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(/ 1 (* n0_i (- 1 u))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (* n0_i (- 1 u)))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2)))))) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (* n0_i (- 1 u)))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 4))) (+ (* -1/5040 (/ (pow (- 1 u) 5) n0_i)) (* 1/5040 (/ 1 (* n0_i (- 1 u))))))))) (* 1/120 (/ 1 (* n0_i (- 1 u))))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2)))))) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(/ 1 (* normAngle (- 1 u))) |
(/ (+ (* 1/6 (* (pow normAngle 2) (- 1 u))) (/ 1 (- 1 u))) normAngle) |
(/ (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))))) (* -1/6 (- 1 u)))) (/ 1 (- 1 u))) normAngle) |
(/ (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (pow (- 1 u) 5)) (+ (* 1/720 (pow (- 1 u) 5)) (* 1/6 (* (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))) (pow (- 1 u) 2))))))) (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))))) (* -1/6 (- 1 u)))) (/ 1 (- 1 u))) normAngle) |
(* normAngle (- 1 u)) |
(+ (/ (* 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)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))) |
(/ 1 (sin (* normAngle (- 1 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)) |
(+ n0_i (* u (- n1_i n0_i))) |
(/ n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(/ 1 n0_i) |
(+ (/ 1 n0_i) (/ (* normAngle (* u (cos normAngle))) (* n0_i (sin normAngle)))) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))))) (/ 1 n0_i)) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))))) (/ 1 n0_i)) |
(/ 1 (sin normAngle)) |
(+ (/ 1 (sin normAngle)) (/ (* normAngle (* u (cos normAngle))) (pow (sin normAngle) 2))) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (* -1 (/ (* normAngle (cos normAngle)) (pow (sin normAngle) 2))))) (/ 1 (sin normAngle))) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (pow (sin normAngle) 2))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (pow (sin normAngle) 2))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (* -1 (/ (* normAngle (cos normAngle)) (pow (sin normAngle) 2))))) (/ 1 (sin normAngle))) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(+ 1 u) |
(+ 1 (* u (+ 1 u))) |
(+ 1 (* u (+ 1 (* u (+ 1 u))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(- n1_i n0_i) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(/ -1 u) |
(* -1 (/ (+ 1 (/ 1 u)) u)) |
(/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u) |
(/ (- (* -1 (/ (+ 1 (/ 1 u)) (pow u 2))) (+ 1 (/ 1 u))) 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)))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(/ (sin normAngle) (sin (* normAngle (+ 1 (* -1 u))))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))) |
(/ 1 (sin (* normAngle (+ 1 (* -1 u))))) |
(* -1 (/ (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))) u)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u))) u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(* n0_i (- (/ 1 u) 1)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -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 (* u (- 1 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* 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 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 (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | 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) (* (+ (- (/ 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 (* u normAngle)) (/ 1 (sin normAngle))) (+ (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (+ (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (/ 1 (- 1 u)) (* normAngle (- 1 u))) |
| 5.0ms | 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))) 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) (* (+ (- (/ 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 (* u normAngle)) (/ 1 (sin normAngle))) (+ (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (+ (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (/ 1 (- 1 u)) (* normAngle (- 1 u))) |
| 4.0ms | 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) (* (+ (- (/ 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 (* u normAngle)) (/ 1 (sin normAngle))) (+ (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (+ (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (/ 1 (- 1 u)) (* normAngle (- 1 u))) |
| 4.0ms | 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) (* (+ (- (/ 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 (* u normAngle)) (/ 1 (sin normAngle))) (+ (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (+ (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (/ 1 (- 1 u)) (* normAngle (- 1 u))) |
| 4.0ms | 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) (* (+ (- (/ 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 (* u normAngle)) (/ 1 (sin normAngle))) (+ (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* (- 1 u) normAngle)))) (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (+ (/ 1 (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ 1 (sin (* normAngle (- 1 u)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (/ 1 (- 1 u)) (* normAngle (- 1 u))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 662 | 3256 |
| 1 | 2102 | 3038 |
| 2 | 7505 | 3038 |
| 0 | 8494 | 2874 |
| 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) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(/ 1 (- 1 u)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 4))) (+ (* -1/5040 (pow (- 1 u) 5)) (* 1/5040 (/ 1 (- 1 u)))))))) (* 1/120 (/ 1 (- 1 u)))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(/ 1 (* n0_i (- 1 u))) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (* n0_i (- 1 u)))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2)))))) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (* n0_i (- 1 u)))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 4))) (+ (* -1/5040 (/ (pow (- 1 u) 5) n0_i)) (* 1/5040 (/ 1 (* n0_i (- 1 u))))))))) (* 1/120 (/ 1 (* n0_i (- 1 u))))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2)))))) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(/ 1 (* normAngle (- 1 u))) |
(/ (+ (* 1/6 (* (pow normAngle 2) (- 1 u))) (/ 1 (- 1 u))) normAngle) |
(/ (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))))) (* -1/6 (- 1 u)))) (/ 1 (- 1 u))) normAngle) |
(/ (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (pow (- 1 u) 5)) (+ (* 1/720 (pow (- 1 u) 5)) (* 1/6 (* (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))) (pow (- 1 u) 2))))))) (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))))) (* -1/6 (- 1 u)))) (/ 1 (- 1 u))) normAngle) |
(* normAngle (- 1 u)) |
(+ (/ (* 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)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))) |
(/ 1 (sin (* normAngle (- 1 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)) |
(+ n0_i (* u (- n1_i n0_i))) |
(/ n0_i u) |
(/ (+ n0_i (* u (- n1_i n0_i))) u) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(/ 1 n0_i) |
(+ (/ 1 n0_i) (/ (* normAngle (* u (cos normAngle))) (* n0_i (sin normAngle)))) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))))) (/ 1 n0_i)) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))))) (/ 1 n0_i)) |
(/ 1 (sin normAngle)) |
(+ (/ 1 (sin normAngle)) (/ (* normAngle (* u (cos normAngle))) (pow (sin normAngle) 2))) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (* -1 (/ (* normAngle (cos normAngle)) (pow (sin normAngle) 2))))) (/ 1 (sin normAngle))) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (pow (sin normAngle) 2))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (pow (sin normAngle) 2))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (* -1 (/ (* normAngle (cos normAngle)) (pow (sin normAngle) 2))))) (/ 1 (sin normAngle))) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(+ 1 u) |
(+ 1 (* u (+ 1 u))) |
(+ 1 (* u (+ 1 (* u (+ 1 u))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(- n1_i n0_i) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(/ -1 u) |
(* -1 (/ (+ 1 (/ 1 u)) u)) |
(/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u) |
(/ (- (* -1 (/ (+ 1 (/ 1 u)) (pow u 2))) (+ 1 (/ 1 u))) 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)))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(/ (sin normAngle) (sin (* normAngle (+ 1 (* -1 u))))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))) |
(/ 1 (sin (* normAngle (+ 1 (* -1 u))))) |
(* -1 (/ (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))) u)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u))) u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n1_i u) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(* n0_i (- (/ 1 u) 1)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* -1 (* n0_i u)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1)) |
(* -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 (* u (- 1 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(* 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 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 (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
| 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 (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) (*.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 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 (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 #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) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.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 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle)))) (*.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 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.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)))))) |
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(- 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) |
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(- (+ 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) |
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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 (*.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) |
(+ 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 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) u) |
(/ 1 (- 1 u)) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) normAngle)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(fma.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (- 1 u))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 4))) (+ (* -1/5040 (pow (- 1 u) 5)) (* 1/5040 (/ 1 (- 1 u)))))))) (* 1/120 (/ 1 (- 1 u)))) (+ (* 1/120 (pow (- 1 u) 3)) (* 1/6 (* (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))) (pow (- 1 u) 2)))))) (+ (* -1/6 (- 1 u)) (* 1/6 (/ 1 (- 1 u)))))) (/ 1 (- 1 u))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (/.f32 #s(literal 1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/ 1 (* n0_i (- 1 u))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) normAngle) normAngle)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (* n0_i (- 1 u)))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2)))))) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(fma.f32 (-.f32 (*.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i))) (*.f32 normAngle normAngle) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (- 1 u) 2) (- (* 1/120 (/ 1 (* n0_i (- 1 u)))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2))))))) (+ (* -1/120 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 4))) (+ (* -1/5040 (/ (pow (- 1 u) 5) n0_i)) (* 1/5040 (/ 1 (* n0_i (- 1 u))))))))) (* 1/120 (/ 1 (* n0_i (- 1 u))))) (+ (* 1/120 (/ (pow (- 1 u) 3) n0_i)) (* 1/6 (* (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))) (pow (- 1 u) 2)))))) (+ (* -1/6 (/ (- 1 u) n0_i)) (* 1/6 (/ 1 (* n0_i (- 1 u))))))) (/ 1 (* n0_i (- 1 u)))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -1/6 binary32)) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) (fma.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal -1/5040 binary32) (/.f32 (/.f32 #s(literal 1/5040 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)))) (-.f32 (/.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/6 binary32) (/.f32 (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i))) (*.f32 normAngle normAngle) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i)) |
(/ 1 (* normAngle (- 1 u))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle) |
(/ (+ (* 1/6 (* (pow normAngle 2) (- 1 u))) (/ 1 (- 1 u))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) normAngle) #s(literal 1/6 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) |
(/ (+ (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))))) (* -1/6 (- 1 u)))) (/ 1 (- 1 u))) normAngle) |
(/.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 7/360 binary32)) (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) |
(/ (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (pow (- 1 u) 5)) (+ (* 1/720 (pow (- 1 u) 5)) (* 1/6 (* (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))) (pow (- 1 u) 2))))))) (+ (* -1/36 (pow (- 1 u) 3)) (* 1/120 (pow (- 1 u) 3))))) (* -1/6 (- 1 u)))) (/ 1 (- 1 u))) normAngle) |
(/.f32 (fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 (*.f32 #s(literal 1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 #s(literal -7/360 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/840 binary32))) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(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)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))) |
(/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/ 1 (sin (* normAngle (- 1 u)))) |
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 (/.f32 normAngle (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 (-.f32 (fma.f32 (*.f32 u (*.f32 #s(literal -1/2 binary32) n0_i)) (*.f32 normAngle normAngle) (*.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))) (+ (* 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 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) n1_i) (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) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) n0_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))) (* 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) |
(+ n0_i (* u (- n1_i 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) |
(/ (* 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 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(fma.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32)) |
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))))) |
(fma.f32 (fma.f32 (neg.f32 (fma.f32 (fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) #s(literal -1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) u (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))))) u (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(/ 1 n0_i) |
(/.f32 #s(literal 1 binary32) n0_i) |
(+ (/ 1 n0_i) (/ (* normAngle (* u (cos normAngle))) (* n0_i (sin normAngle)))) |
(fma.f32 (/.f32 (*.f32 (cos.f32 normAngle) u) n0_i) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) n0_i)) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))))) (/ 1 n0_i)) |
(fma.f32 (fma.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) n0_i) (/.f32 normAngle (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))) (neg.f32 u))) u (/.f32 #s(literal 1 binary32) n0_i)) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (* n0_i (pow (sin normAngle) 2)))) (* -1/2 (/ (pow normAngle 2) n0_i))))) (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))))) (/ 1 n0_i)) |
(fma.f32 (fma.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)) (*.f32 (neg.f32 (fma.f32 (fma.f32 (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) #s(literal -1/3 binary32) (*.f32 (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) n0_i) (/.f32 normAngle (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) u (-.f32 (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) (*.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) n0_i) (/.f32 normAngle (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))))) u)) u (/.f32 #s(literal 1 binary32) n0_i)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(+ (/ 1 (sin normAngle)) (/ (* normAngle (* u (cos normAngle))) (pow (sin normAngle) 2))) |
(fma.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (* -1 (/ (* normAngle (cos normAngle)) (pow (sin normAngle) 2))))) (/ 1 (sin normAngle))) |
(fma.f32 (fma.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (sin.f32 normAngle)) (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))) u (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (pow (sin normAngle) 2))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (pow (sin normAngle) 2))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 3))) (* -1/2 (/ (pow normAngle 2) (sin normAngle)))))) (* -1 (/ (* normAngle (cos normAngle)) (pow (sin normAngle) 2))))) (/ 1 (sin normAngle))) |
(fma.f32 (fma.f32 (/.f32 (cos.f32 normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) normAngle (*.f32 (neg.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) #s(literal -1/3 binary32) (*.f32 (*.f32 (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (sin.f32 normAngle)) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) u (/.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) normAngle) normAngle) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (sin.f32 normAngle)))) u)) u (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) u) |
(+ 1 u) |
(+.f32 u #s(literal 1 binary32)) |
(+ 1 (* u (+ 1 u))) |
(fma.f32 (+.f32 u #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (+ 1 (* u (+ 1 u))))) |
(fma.f32 (fma.f32 (+.f32 u #s(literal 1 binary32)) u #s(literal 1 binary32)) u #s(literal 1 binary32)) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) 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) 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) |
(- 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) |
(/.f32 #s(literal -1 binary32) u) |
(* -1 (/ (+ 1 (/ 1 u)) u)) |
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) u) |
(/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) u) #s(literal 1 binary32)) u) |
(/ (- (* -1 (/ (+ 1 (/ 1 u)) (pow u 2))) (+ 1 (/ 1 u))) u) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) u) #s(literal 1 binary32)) u) #s(literal 1 binary32)) 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 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) (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)) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(*.f32 (-.f32 (neg.f32 (-.f32 n1_i n0_i)) (/.f32 n0_i u)) (neg.f32 u)) |
(/ (sin normAngle) (sin (* normAngle (+ 1 (* -1 u))))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (+ 1 (* -1 u)))))) |
(/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/ 1 (sin (* normAngle (+ 1 (* -1 u))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (/ (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))) u)) |
(/.f32 (+.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) u) u)) (/.f32 #s(literal 1 binary32) u)) (neg.f32 u)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1) u))) u)) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) u) #s(literal 1 binary32)) u)) (neg.f32 u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* -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 (* 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 (* 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 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 (/.f32 u n0_i) n1_i (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* -1 (* n0_i u)) |
(*.f32 (neg.f32 u) n0_i) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) 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) (/ n1_i n0_i)) 1)) |
(*.f32 (-.f32 (+.f32 (/.f32 n1_i n0_i) (/.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (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))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (/.f32 u n0_i) n1_i (-.f32 #s(literal 1 binary32) u)))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 n0_i) (-.f32 u (/.f32 (*.f32 n1_i u) n0_i))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(*.f32 (neg.f32 n0_i) (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))) |
(* -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)))) |
(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))) |
(* 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 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 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_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 (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(*.f32 (fma.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u 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) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (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))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (-.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 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 386 |
| 0 | 88 | 362 |
| 1 | 299 | 352 |
| 2 | 2092 | 352 |
| 0 | 8500 | 343 |
| 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) |
(*.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) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle))) |
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
| Outputs |
|---|
(*.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 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) 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))) (-.f32 (*.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)))) (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 (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 (-.f32 (*.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 (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 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) 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))) (-.f32 (*.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)))) (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 (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 (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)))) (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 (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 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)) (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 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 (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 (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 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)))) (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)) (-.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 (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 3 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)))) (neg.f32 (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 #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))) (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 3 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #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 #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 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.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 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 #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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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (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 #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 (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)))))) |
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i 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 n1_i n0_i) (*.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 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) |
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(-.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 #s(literal -1 binary32) n0_i n1_i) |
(pow.f32 (/.f32 (+.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 (neg.f32 n0_i) n1_i) |
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(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
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(/.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)))) |
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(fma.f32 (-.f32 (/.f32 n0_i u) n0_i) u (*.f32 n1_i u)) |
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(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)) |
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(/.f32 (-.f32 (*.f32 (*.f32 n0_i #s(literal 1 binary32)) (+.f32 n1_i n0_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) |
(/.f32 (-.f32 (*.f32 (*.f32 n0_i #s(literal 1 binary32)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i n0_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 n1_i n0_i))))) |
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(/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i n0_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 n1_i n0_i))))) |
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(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i n0_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 n1_i n0_i))))) |
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(/.f32 (fma.f32 (*.f32 n0_i #s(literal 1 binary32)) (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))) (*.f32 u (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (*.f32 u (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))))) |
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(/.f32 (fma.f32 (*.f32 n0_i #s(literal 1 binary32)) (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))))) (*.f32 u (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 (*.f32 n0_i #s(literal 1 binary32)) (/.f32 (+.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) u) (*.f32 u (/.f32 (+.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))))) |
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(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) (*.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) (pow.f32 n0_i #s(literal 3 binary32)))) (pow.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (-.f32 (/.f32 n0_i u) (neg.f32 n0_i)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (+.f32 (/.f32 n0_i u) n0_i))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i n0_i) (*.f32 (/.f32 n0_i u) (neg.f32 n0_i)))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (/.f32 n0_i u) (neg.f32 n0_i))) |
(/.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) (+.f32 (/.f32 n0_i u) n0_i)) |
(/.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i n0_i) (*.f32 (/.f32 n0_i u) (neg.f32 n0_i))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) |
(-.f32 (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (/.f32 n0_i u) (neg.f32 n0_i))) (/.f32 (*.f32 n0_i n0_i) (-.f32 (/.f32 n0_i u) (neg.f32 n0_i)))) |
(-.f32 (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (+.f32 (/.f32 n0_i u) n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 (/.f32 n0_i u) n0_i))) |
(-.f32 (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))))) |
(-.f32 (/.f32 n0_i u) n0_i) |
(fma.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) u) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) u) n0_i (neg.f32 n0_i)) |
(fma.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (neg.f32 u)) (neg.f32 n0_i)) |
(fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) |
(fma.f32 (/.f32 n0_i u) #s(literal 1 binary32) (neg.f32 n0_i)) |
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1 binary32) (/.f32 n0_i u) (neg.f32 n0_i)) |
(pow.f32 (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 (neg.f32 n0_i) (/.f32 n0_i u)) |
(+.f32 (/.f32 n0_i u) (neg.f32 n0_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/2 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) |
(pow.f32 (exp.f32 (log1p.f32 (neg.f32 u))) #s(literal -1 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) #s(literal -1/2 binary32)) |
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) |
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(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 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle)) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
Compiled 45 709 to 4 108 computations (91% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 913 | 18 | 931 |
| Fresh | 16 | 11 | 27 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 932 | 32 | 964 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.9% | (+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 94.8% | (+.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) (exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32)))))) n1_i)) | |
| 97.8% | (+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| 98.8% | (+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.6% | (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ 1 (sin (* normAngle (- 1 u)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.7% | (+.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.8% | (+.f32 (*.f32 (*.f32 #s(approx (sin (* (- 1 u) normAngle)) (*.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)) | |
| 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)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ✓ | 99.1% | (+.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)) |
| 82.7% | (+.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)) | |
| ✓ | 43.0% | (*.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))))) |
| ▶ | 32.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) |
| 43.1% | (*.f32 #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| 39.3% | #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))) | |
| 39.3% | #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))) | |
| 57.8% | #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)))) | |
| 98.5% | #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)))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| 46.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| 80.4% | #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)) u) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))) | |
| 76.9% | #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 (/.f32 (-.f32 (*.f32 n0_i (+.f32 n1_i n0_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u))) | |
| ▶ | 88.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u 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))) | |
| ✓ | 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))) |
| 98.1% | #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))) | |
| 97.3% | #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 #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))) | |
| ▶ | 39.3% | #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 n1_i u))) |
| 8.0% | #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)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 u) n0_i)))) | |
| ▶ | 57.6% | #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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
| 57.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #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)))))) |
Compiled 2 512 to 1 575 computations (37.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) | |
| 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)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) | |
| cost-diff | 96 | (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) | |
| cost-diff | 160 | (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) | |
| cost-diff | 416 | (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u) | |
| cost-diff | 1248 | (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) | |
| cost-diff | 0 | #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) | |
| cost-diff | 0 | #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))) | |
| 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) | |
| cost-diff | 352 | (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) | |
| cost-diff | 0 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) | |
| cost-diff | 64 | (+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (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 | 192 | (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 568 |
| 0 | 100 | 556 |
| 1 | 188 | 536 |
| 2 | 404 | 467 |
| 3 | 1544 | 429 |
| 4 | 5730 | 429 |
| 0 | 8334 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 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 |
(/.f32 (sin.f32 normAngle) n0_i) |
(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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
#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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u)) |
(*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) |
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) |
(*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) |
#s(literal 1 binary32) |
(+.f32 n1_i n0_i) |
n1_i |
n0_i |
(*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) |
(/.f32 u n0_i) |
u |
(-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) |
(*.f32 n0_i n0_i) |
(*.f32 n1_i n1_i) |
(*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
n1_i |
| Outputs |
|---|
(+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 (sin.f32 normAngle) n0_i) |
(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 (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.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)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_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 (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) |
#s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 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 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_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 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) |
(-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) |
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) |
(*.f32 (fma.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u #s(literal 1 binary32)) (+.f32 n1_i n0_i)) |
(*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) |
(+.f32 n1_i n0_i) |
#s(literal 1 binary32) |
(+.f32 n1_i n0_i) |
n1_i |
n0_i |
(*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) |
(*.f32 (-.f32 n0_i n1_i) (fma.f32 (/.f32 u n0_i) n1_i u)) |
(/.f32 u n0_i) |
u |
(-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)) |
(*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) |
(*.f32 n0_i n0_i) |
(*.f32 n1_i n1_i) |
(*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i)) |
(fma.f32 (/.f32 u n0_i) n1_i u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
(*.f32 n1_i (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
n1_i |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.01953125 | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | |
| accuracy | 0.08203125 | (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) | |
| accuracy | 8.073780468499566 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) | |
| accuracy | 12.437481141958758 | #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) | |
| accuracy | 0.25390625 | (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i)) | |
| accuracy | 0.3125 | (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) | |
| accuracy | 0.32605093481474134 | #s(approx (+ (* (* (sin (* (- 1 u) 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 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) | |
| accuracy | 6.097942484046589 | (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) | |
| accuracy | 0.21484375 | (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) | |
| accuracy | 0.23172628162065376 | (-.f32 (/.f32 n0_i u) n0_i) | |
| accuracy | 0.32605093481474134 | #s(approx (+ (* (* (sin (* (- 1 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)))) | |
| accuracy | 13.371400003064744 | #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) | |
| accuracy | 0.0 | (*.f32 n1_i u) | |
| accuracy | 0.32605093481474134 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) | |
| accuracy | 19.183648767460877 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) | |
| accuracy | 0.0859375 | (+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.11711291507754662 | #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) | |
| accuracy | 0.14453125 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.29916000976844204 | (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) |
| 135.0ms | 256× | 0 | valid |
Compiled 965 to 119 computations (87.7% saved)
ival-sub: 47.0ms (41% of total)ival-mult: 30.0ms (26.2% of total)ival-add: 16.0ms (14% of total)ival-div: 11.0ms (9.6% of total)ival-sin: 11.0ms (9.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) |
(+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) 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 n1_i u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) |
(*.f32 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)) #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 (+ (* (- 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) |
(*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u) |
(*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) |
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(-.f32 (/.f32 n0_i u) n0_i) |
(*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
(*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
| Outputs |
|---|
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* normAngle (- 1 u)) |
(* 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)))) |
(* 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)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle 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)) |
(* n1_i (sin (* normAngle u))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ (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))))))))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* n1_i u) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* u (- n1_i n0_i))) |
(/ n0_i u) |
(/ (+ n0_i (/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i))) u) |
(+ n0_i (/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i))) |
(+ n0_i n1_i) |
(+ n0_i (+ n1_i (* u (- (/ (pow n1_i 2) n0_i) n0_i)))) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(/ (* 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 u))) u) |
(/ (* u (- (pow n0_i 2) (pow n1_i 2))) n0_i) |
(/ (* u (+ n0_i n1_i)) n0_i) |
(* 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 (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (- n1_i n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i)) |
(+ (/ n0_i u) (/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i))) |
(/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i)) |
(* u (+ (/ n0_i u) (/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i)))) |
(* u (- (/ (pow n1_i 2) n0_i) n0_i)) |
(* u (- (+ (/ n0_i u) (+ (/ n1_i u) (/ (pow n1_i 2) n0_i))) n0_i)) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (/ (* n0_i (- n0_i (/ (pow n1_i 2) n0_i))) (+ n0_i n1_i))) |
(+ (* -1 (/ (* n0_i (- n0_i (/ (pow n1_i 2) n0_i))) (+ n0_i n1_i))) (/ n0_i u)) |
(* -1 (/ (* u (- (pow n0_i 2) (pow n1_i 2))) (+ n0_i n1_i))) |
(* -1 (* u (- (+ (* -1 (/ n0_i u)) (/ (pow n0_i 2) (+ n0_i n1_i))) (/ (pow n1_i 2) (+ n0_i n1_i))))) |
(* -1 (/ (* u (- (pow n0_i 2) (pow n1_i 2))) n0_i)) |
(* -1 (* u (- (* -1 (/ (+ n0_i n1_i) u)) (* -1 (/ (- (pow n0_i 2) (pow n1_i 2)) n0_i))))) |
(/ (+ (* 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)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
n1_i |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(/ (* (pow n1_i 2) u) n0_i) |
(/ (- (* n0_i n1_i) (* -1 (* (pow n1_i 2) u))) n0_i) |
(/ (- (* n0_i (+ n1_i (* n0_i (- 1 u)))) (* -1 (* (pow n1_i 2) u))) n0_i) |
(* n0_i (- (/ 1 u) 1)) |
(* -1 (/ (* (pow n1_i 2) u) n0_i)) |
(/ (+ (* -1 (* (pow n1_i 2) u)) (* (pow n0_i 2) u)) n0_i) |
(/ (* n1_i u) n0_i) |
(/ (+ (* n0_i u) (* n1_i u)) n0_i) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(/ (* n0_i (- 1 u)) u) |
(* n0_i (- (+ (/ 1 u) (/ n1_i (* n0_i u))) (+ 1 (/ (* n1_i (- 1 u)) (* n0_i u))))) |
(* n0_i (- (+ (/ 1 u) (+ (/ n1_i (* n0_i u)) (/ (pow n1_i 2) (pow n0_i 2)))) (+ 1 (+ (/ (* n1_i (- 1 u)) (* n0_i u)) (/ (* n1_i (- (/ n1_i u) (/ (* n1_i (- 1 u)) u))) (pow n0_i 2)))))) |
(* n0_i (- (+ (* -1 (/ (* n1_i (- (pow n1_i 2) (* n1_i (- (/ n1_i u) (/ (* n1_i (- 1 u)) u))))) (pow n0_i 3))) (+ (/ 1 u) (+ (/ n1_i (* n0_i u)) (/ (pow n1_i 2) (pow n0_i 2))))) (+ 1 (+ (/ (* n1_i (- 1 u)) (* n0_i u)) (/ (* n1_i (- (/ n1_i u) (/ (* n1_i (- 1 u)) u))) (pow n0_i 2)))))) |
(* n0_i (- (+ 1 (/ n1_i n0_i)) (+ u (/ (* n1_i (- 1 u)) n0_i)))) |
(* n0_i (- (+ 1 (+ (/ n1_i n0_i) (/ (* (pow n1_i 2) u) (pow n0_i 2)))) (+ u (+ (/ (* n1_i (- 1 u)) n0_i) (/ (* n1_i (- n1_i (* n1_i (- 1 u)))) (pow n0_i 2)))))) |
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (- (* (pow n1_i 2) u) (* n1_i (- n1_i (* n1_i (- 1 u)))))) (pow n0_i 3))) (+ (/ n1_i n0_i) (/ (* (pow n1_i 2) u) (pow n0_i 2))))) (+ u (+ (/ (* n1_i (- 1 u)) n0_i) (/ (* n1_i (- n1_i (* n1_i (- 1 u)))) (pow n0_i 2)))))) |
(* n0_i (+ 1 (/ n1_i n0_i))) |
(* n0_i (- (+ 1 (/ n1_i n0_i)) u)) |
(* n0_i (- (+ 1 (+ (/ n1_i n0_i) (/ (* (pow n1_i 2) u) (pow n0_i 2)))) u)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i u) |
(* n0_i (+ u (* -1 (/ (* (pow n1_i 2) u) (pow n0_i 2))))) |
(+ u (/ (* n1_i 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 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(/ (* n0_i (+ 1 (* -1 u))) u) |
(* -1 (* n0_i (- (+ (* -1 (/ n1_i (* n0_i u))) (* -1 (/ (+ 1 (* -1 u)) u))) (* -1 (/ (* n1_i (+ 1 (* -1 u))) (* n0_i u)))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ 1 (* -1 u)) u)) (* -1 (/ (- (+ (* -1 (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u)))) (/ (pow n1_i 2) n0_i)) (* -1 (/ (* n1_i (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u)))) n0_i))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ 1 (* -1 u)) u)) (* -1 (/ (+ (* -1 (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u)))) (* -1 (/ (+ (* -1 (- (pow n1_i 2) (* -1 (* n1_i (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u))))))) (/ (* n1_i (- (pow n1_i 2) (* -1 (* n1_i (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u))))))) n0_i)) n0_i))) n0_i))))) |
(* n0_i (+ 1 (* -1 u))) |
(* -1 (* n0_i (- (+ (* -1 (+ 1 (* -1 u))) (* -1 (/ n1_i n0_i))) (* -1 (/ (* n1_i (+ 1 (* -1 u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (+ 1 (* -1 u))) (* -1 (/ (- (+ (* -1 (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u)))))) (/ (* (pow n1_i 2) u) n0_i)) (* -1 (/ (* n1_i (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u)))))) n0_i))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (+ 1 (* -1 u))) (* -1 (/ (+ (* -1 (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u)))))) (* -1 (/ (+ (* -1 (- (* (pow n1_i 2) u) (* -1 (* n1_i (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u))))))))) (/ (* n1_i (- (* (pow n1_i 2) u) (* -1 (* n1_i (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u))))))))) n0_i)) n0_i))) n0_i))))) |
(* -1 (* n0_i (- (* -1 (/ n1_i n0_i)) 1))) |
(* -1 (* n0_i (- (* -1 (/ n1_i n0_i)) (+ 1 (* -1 u))))) |
(* -1 (* n0_i (- (* -1 (/ (+ n1_i (/ (* (pow n1_i 2) u) n0_i)) n0_i)) (+ 1 (* -1 u))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (+ (* -1 u) (/ (* (pow n1_i 2) u) (pow n0_i 2))))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(/ (- n0_i (* n0_i u)) u) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(- n0_i (* n0_i u)) |
(- (+ n0_i (* n1_i u)) (* n0_i u)) |
(- (+ n0_i n1_i) (* n0_i u)) |
(- (+ n0_i (* n1_i (+ 1 (/ (* n1_i u) n0_i)))) (* n0_i u)) |
(+ (* -1 (/ (* (pow n1_i 2) u) n0_i)) (* n0_i u)) |
(* 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 (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (/ n0_i (* n1_i u)) (/ (* n0_i (- n0_i (* n0_i u))) (* (pow n1_i 2) u)))) (+ (/ n0_i n1_i) (/ (* n0_i (- (/ n0_i u) n0_i)) (pow n1_i 2))))) |
(* n1_i (- (+ 1 (+ (* -1 (/ (* n0_i (- (/ (* n0_i (- n0_i (* n0_i u))) u) (* n0_i (- (/ n0_i u) n0_i)))) (pow n1_i 3))) (+ (/ n0_i (* n1_i u)) (/ (* n0_i (- n0_i (* n0_i u))) (* (pow n1_i 2) u))))) (+ (/ n0_i n1_i) (/ (* n0_i (- (/ n0_i u) n0_i)) (pow n1_i 2))))) |
(* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i))) |
(* n1_i (+ 1 (/ n0_i n1_i))) |
(* (pow n1_i 2) (- (/ 1 n1_i) (* -1 (/ u n0_i)))) |
(* (pow n1_i 2) (- (+ (/ 1 n1_i) (/ n0_i (pow n1_i 2))) (+ (* -1 (/ u n0_i)) (/ (* n0_i u) (pow n1_i 2))))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* (pow n1_i 2) (+ (* -1 (/ u n0_i)) (/ (* n0_i u) (pow n1_i 2)))) |
(* n1_i (+ (/ u n0_i) (/ 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) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (* n0_i (- (/ n0_i u) n0_i)))) n1_i)) (/ n0_i u)) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (/ (* n0_i (- (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (* n0_i (- (/ n0_i u) n0_i))))) n1_i))) (* -1 (* n0_i (- (/ n0_i u) n0_i)))) n1_i)) (/ n0_i u)) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ n0_i n1_i)) 1))) |
(* (pow n1_i 2) (- (* -1 (/ (- (* -1 (/ (- n0_i (* n0_i u)) n1_i)) 1) n1_i)) (* -1 (/ u n0_i)))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ u n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | u | @ | 0 | ((/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (+ (/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (- (/ n0_i u) n0_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) u) (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (* 1 (+ n1_i n0_i)) (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ 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)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ u n0_i) (+ n1_i n0_i)) (* (sin (* normAngle u)) n1_i)) |
| 8.0ms | n0_i | @ | -inf | ((/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (+ (/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (- (/ n0_i u) n0_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) u) (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (* 1 (+ n1_i n0_i)) (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ 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)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ u n0_i) (+ n1_i n0_i)) (* (sin (* normAngle u)) n1_i)) |
| 7.0ms | n0_i | @ | inf | ((/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (+ (/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (- (/ n0_i u) n0_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) u) (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (* 1 (+ n1_i n0_i)) (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ 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)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ u n0_i) (+ n1_i n0_i)) (* (sin (* normAngle u)) n1_i)) |
| 7.0ms | n0_i | @ | 0 | ((/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (+ (/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (- (/ n0_i u) n0_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) u) (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (* 1 (+ n1_i n0_i)) (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ 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)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ u n0_i) (+ n1_i n0_i)) (* (sin (* normAngle u)) n1_i)) |
| 6.0ms | u | @ | -inf | ((/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (+ (/ (sin (* (- 1 u) normAngle)) (/ (sin normAngle) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (- (/ n0_i u) n0_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) u) (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (* 1 (+ n1_i n0_i)) (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ 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)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ u n0_i) (+ n1_i n0_i)) (* (sin (* normAngle u)) n1_i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 879 | 4251 |
| 1 | 2948 | 3986 |
| 0 | 8431 | 3757 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* normAngle (- 1 u)) |
(* 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)))) |
(* 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)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle 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)) |
(* n1_i (sin (* normAngle u))) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ (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))))))))) |
(+ normAngle (* -1 (* normAngle u))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* n1_i u) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* u (- n1_i n0_i))) |
(/ n0_i u) |
(/ (+ n0_i (/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i))) u) |
(+ n0_i (/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i))) |
(+ n0_i n1_i) |
(+ n0_i (+ n1_i (* u (- (/ (pow n1_i 2) n0_i) n0_i)))) |
(* n0_i (sin normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(/ (* 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 u))) u) |
(/ (* u (- (pow n0_i 2) (pow n1_i 2))) n0_i) |
(/ (* u (+ n0_i n1_i)) n0_i) |
(* 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 (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (- n1_i n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i)) |
(+ (/ n0_i u) (/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i))) |
(/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i)) |
(* u (+ (/ n0_i u) (/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i)))) |
(* u (- (/ (pow n1_i 2) n0_i) n0_i)) |
(* u (- (+ (/ n0_i u) (+ (/ n1_i u) (/ (pow n1_i 2) n0_i))) n0_i)) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (/ (* n0_i (- n0_i (/ (pow n1_i 2) n0_i))) (+ n0_i n1_i))) |
(+ (* -1 (/ (* n0_i (- n0_i (/ (pow n1_i 2) n0_i))) (+ n0_i n1_i))) (/ n0_i u)) |
(* -1 (/ (* u (- (pow n0_i 2) (pow n1_i 2))) (+ n0_i n1_i))) |
(* -1 (* u (- (+ (* -1 (/ n0_i u)) (/ (pow n0_i 2) (+ n0_i n1_i))) (/ (pow n1_i 2) (+ n0_i n1_i))))) |
(* -1 (/ (* u (- (pow n0_i 2) (pow n1_i 2))) n0_i)) |
(* -1 (* u (- (* -1 (/ (+ n0_i n1_i) u)) (* -1 (/ (- (pow n0_i 2) (pow n1_i 2)) n0_i))))) |
(/ (+ (* 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)))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
n1_i |
(+ n1_i (* n0_i (- (/ 1 u) 1))) |
(/ (* (pow n1_i 2) u) n0_i) |
(/ (- (* n0_i n1_i) (* -1 (* (pow n1_i 2) u))) n0_i) |
(/ (- (* n0_i (+ n1_i (* n0_i (- 1 u)))) (* -1 (* (pow n1_i 2) u))) n0_i) |
(* n0_i (- (/ 1 u) 1)) |
(* -1 (/ (* (pow n1_i 2) u) n0_i)) |
(/ (+ (* -1 (* (pow n1_i 2) u)) (* (pow n0_i 2) u)) n0_i) |
(/ (* n1_i u) n0_i) |
(/ (+ (* n0_i u) (* n1_i u)) n0_i) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(/ (* n0_i (- 1 u)) u) |
(* n0_i (- (+ (/ 1 u) (/ n1_i (* n0_i u))) (+ 1 (/ (* n1_i (- 1 u)) (* n0_i u))))) |
(* n0_i (- (+ (/ 1 u) (+ (/ n1_i (* n0_i u)) (/ (pow n1_i 2) (pow n0_i 2)))) (+ 1 (+ (/ (* n1_i (- 1 u)) (* n0_i u)) (/ (* n1_i (- (/ n1_i u) (/ (* n1_i (- 1 u)) u))) (pow n0_i 2)))))) |
(* n0_i (- (+ (* -1 (/ (* n1_i (- (pow n1_i 2) (* n1_i (- (/ n1_i u) (/ (* n1_i (- 1 u)) u))))) (pow n0_i 3))) (+ (/ 1 u) (+ (/ n1_i (* n0_i u)) (/ (pow n1_i 2) (pow n0_i 2))))) (+ 1 (+ (/ (* n1_i (- 1 u)) (* n0_i u)) (/ (* n1_i (- (/ n1_i u) (/ (* n1_i (- 1 u)) u))) (pow n0_i 2)))))) |
(* n0_i (- (+ 1 (/ n1_i n0_i)) (+ u (/ (* n1_i (- 1 u)) n0_i)))) |
(* n0_i (- (+ 1 (+ (/ n1_i n0_i) (/ (* (pow n1_i 2) u) (pow n0_i 2)))) (+ u (+ (/ (* n1_i (- 1 u)) n0_i) (/ (* n1_i (- n1_i (* n1_i (- 1 u)))) (pow n0_i 2)))))) |
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (- (* (pow n1_i 2) u) (* n1_i (- n1_i (* n1_i (- 1 u)))))) (pow n0_i 3))) (+ (/ n1_i n0_i) (/ (* (pow n1_i 2) u) (pow n0_i 2))))) (+ u (+ (/ (* n1_i (- 1 u)) n0_i) (/ (* n1_i (- n1_i (* n1_i (- 1 u)))) (pow n0_i 2)))))) |
(* n0_i (+ 1 (/ n1_i n0_i))) |
(* n0_i (- (+ 1 (/ n1_i n0_i)) u)) |
(* n0_i (- (+ 1 (+ (/ n1_i n0_i) (/ (* (pow n1_i 2) u) (pow n0_i 2)))) u)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* n0_i u) |
(* n0_i (+ u (* -1 (/ (* (pow n1_i 2) u) (pow n0_i 2))))) |
(+ u (/ (* n1_i 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 (/ 1 u))))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(/ (* n0_i (+ 1 (* -1 u))) u) |
(* -1 (* n0_i (- (+ (* -1 (/ n1_i (* n0_i u))) (* -1 (/ (+ 1 (* -1 u)) u))) (* -1 (/ (* n1_i (+ 1 (* -1 u))) (* n0_i u)))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ 1 (* -1 u)) u)) (* -1 (/ (- (+ (* -1 (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u)))) (/ (pow n1_i 2) n0_i)) (* -1 (/ (* n1_i (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u)))) n0_i))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (+ 1 (* -1 u)) u)) (* -1 (/ (+ (* -1 (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u)))) (* -1 (/ (+ (* -1 (- (pow n1_i 2) (* -1 (* n1_i (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u))))))) (/ (* n1_i (- (pow n1_i 2) (* -1 (* n1_i (- (* -1 (/ n1_i u)) (* -1 (/ (* n1_i (+ 1 (* -1 u))) u))))))) n0_i)) n0_i))) n0_i))))) |
(* n0_i (+ 1 (* -1 u))) |
(* -1 (* n0_i (- (+ (* -1 (+ 1 (* -1 u))) (* -1 (/ n1_i n0_i))) (* -1 (/ (* n1_i (+ 1 (* -1 u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (+ 1 (* -1 u))) (* -1 (/ (- (+ (* -1 (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u)))))) (/ (* (pow n1_i 2) u) n0_i)) (* -1 (/ (* n1_i (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u)))))) n0_i))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (+ 1 (* -1 u))) (* -1 (/ (+ (* -1 (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u)))))) (* -1 (/ (+ (* -1 (- (* (pow n1_i 2) u) (* -1 (* n1_i (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u))))))))) (/ (* n1_i (- (* (pow n1_i 2) u) (* -1 (* n1_i (- (* -1 n1_i) (* -1 (* n1_i (+ 1 (* -1 u))))))))) n0_i)) n0_i))) n0_i))))) |
(* -1 (* n0_i (- (* -1 (/ n1_i n0_i)) 1))) |
(* -1 (* n0_i (- (* -1 (/ n1_i n0_i)) (+ 1 (* -1 u))))) |
(* -1 (* n0_i (- (* -1 (/ (+ n1_i (/ (* (pow n1_i 2) u) n0_i)) n0_i)) (+ 1 (* -1 u))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(* -1 (* n0_i (+ (* -1 u) (/ (* (pow n1_i 2) u) (pow n0_i 2))))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(/ (- n0_i (* n0_i u)) u) |
(- (+ n1_i (/ n0_i u)) n0_i) |
(- n0_i (* n0_i u)) |
(- (+ n0_i (* n1_i u)) (* n0_i u)) |
(- (+ n0_i n1_i) (* n0_i u)) |
(- (+ n0_i (* n1_i (+ 1 (/ (* n1_i u) n0_i)))) (* n0_i u)) |
(+ (* -1 (/ (* (pow n1_i 2) u) n0_i)) (* n0_i u)) |
(* 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 (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(* n1_i (- (+ 1 (+ (/ n0_i (* n1_i u)) (/ (* n0_i (- n0_i (* n0_i u))) (* (pow n1_i 2) u)))) (+ (/ n0_i n1_i) (/ (* n0_i (- (/ n0_i u) n0_i)) (pow n1_i 2))))) |
(* n1_i (- (+ 1 (+ (* -1 (/ (* n0_i (- (/ (* n0_i (- n0_i (* n0_i u))) u) (* n0_i (- (/ n0_i u) n0_i)))) (pow n1_i 3))) (+ (/ n0_i (* n1_i u)) (/ (* n0_i (- n0_i (* n0_i u))) (* (pow n1_i 2) u))))) (+ (/ n0_i n1_i) (/ (* n0_i (- (/ n0_i u) n0_i)) (pow n1_i 2))))) |
(* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i))) |
(* n1_i (+ 1 (/ n0_i n1_i))) |
(* (pow n1_i 2) (- (/ 1 n1_i) (* -1 (/ u n0_i)))) |
(* (pow n1_i 2) (- (+ (/ 1 n1_i) (/ n0_i (pow n1_i 2))) (+ (* -1 (/ u n0_i)) (/ (* n0_i u) (pow n1_i 2))))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* (pow n1_i 2) (+ (* -1 (/ u n0_i)) (/ (* n0_i u) (pow n1_i 2)))) |
(* n1_i (+ (/ u n0_i) (/ 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) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (* n0_i (- (/ n0_i u) n0_i)))) n1_i)) (/ n0_i u)) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (/ (* n0_i (- (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (* n0_i (- (/ n0_i u) n0_i))))) n1_i))) (* -1 (* n0_i (- (/ n0_i u) n0_i)))) n1_i)) (/ n0_i u)) n0_i) n1_i)) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))) |
(* -1 (* n1_i (- (* -1 (/ n0_i n1_i)) 1))) |
(* (pow n1_i 2) (- (* -1 (/ (- (* -1 (/ (- n0_i (* n0_i u)) n1_i)) 1) n1_i)) (* -1 (/ u n0_i)))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ u n1_i))))) |
| Outputs |
|---|
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.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 normAngle normAngle) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* 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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #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 (-.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))) (* (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 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal -1/5040 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 -1/720 binary32) (*.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 (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)) |
(* 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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal 1 binary32)) u) normAngle) |
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u)) |
(*.f32 (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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (*.f32 normAngle normAngle) (*.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) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 (-.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))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 (-.f32 n1_i n0_i) u n0_i)))) (*.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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 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 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) |
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 (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 (*.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 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 n1_i normAngle) normAngle)) (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 (*.f32 #s(literal -1/6 binary32) n1_i) (pow.f32 u #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 n1_i normAngle) normAngle)) (pow.f32 u #s(literal 7 binary32)) (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))) (*.f32 (*.f32 n1_i normAngle) u)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.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 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_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 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(* n1_i (sin (* normAngle u))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
n0_i |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* 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 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) 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 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (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 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) 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 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) u) (sin.f32 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 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle))) u (*.f32 (neg.f32 normAngle) (cos.f32 normAngle))) u (sin.f32 normAngle)) |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ n0_i (* -1 (* n0_i u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(/ n0_i u) |
(/.f32 n0_i u) |
(/ (+ n0_i (/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i))) u) |
(/.f32 (fma.f32 n0_i (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) u) (+.f32 n1_i n0_i)) n0_i) u) |
(+ n0_i (/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i))) |
(fma.f32 n0_i (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) u) (+.f32 n1_i n0_i)) n0_i) |
(+ n0_i n1_i) |
(+.f32 n1_i n0_i) |
(+ n0_i (+ n1_i (* u (- (/ (pow n1_i 2) n0_i) n0_i)))) |
(fma.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) u (+.f32 n1_i n0_i)) |
(* 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)) 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 normAngle (/.f32 u (sin.f32 normAngle))) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) u) (sin.f32 normAngle)) #s(literal -1/6 binary32) (/.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 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (/.f32 (*.f32 u u) (sin.f32 normAngle)) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 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 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (*.f32 u u) (sin.f32 normAngle)) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 u (/.f32 normAngle (sin.f32 normAngle)))) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u)) |
(/ (* u (- (pow n0_i 2) (pow n1_i 2))) n0_i) |
(/.f32 (*.f32 u (fma.f32 (neg.f32 n1_i) n1_i (*.f32 n0_i n0_i))) n0_i) |
(/ (* u (+ n0_i n1_i)) n0_i) |
(/.f32 (*.f32 (+.f32 n1_i n0_i) u) 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)) n1_i) #s(literal -1/6 binary32)) 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 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) u) u (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 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 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (pow.f32 normAngle #s(literal 3 binary32)) (*.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)) n1_i) #s(literal 1/120 binary32))) (*.f32 u u))) (*.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 (* -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) |
(* -1 (* n0_i u)) |
(*.f32 (neg.f32 n0_i) u) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) 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) |
(/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i)) |
(/.f32 (*.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) n0_i) (+.f32 n1_i n0_i)) |
(+ (/ n0_i u) (/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i))) |
(fma.f32 n0_i (/.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) (+.f32 n1_i n0_i)) (/.f32 n0_i u)) |
(/ (* n0_i (* u (- (/ (pow n1_i 2) n0_i) n0_i))) (+ n0_i n1_i)) |
(/.f32 (*.f32 (*.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) u) n0_i) (+.f32 n1_i n0_i)) |
(* u (+ (/ n0_i u) (/ (* n0_i (- (/ (pow n1_i 2) n0_i) n0_i)) (+ n0_i n1_i)))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) (+.f32 n1_i n0_i)) (/.f32 n0_i u)) u) |
(* u (- (/ (pow n1_i 2) n0_i) n0_i)) |
(*.f32 (-.f32 (/.f32 (*.f32 n1_i n1_i) n0_i) n0_i) u) |
(* u (- (+ (/ n0_i u) (+ (/ n1_i u) (/ (pow n1_i 2) n0_i))) n0_i)) |
(*.f32 (+.f32 (+.f32 (/.f32 n1_i u) (/.f32 (*.f32 n1_i n1_i) n0_i)) (-.f32 (/.f32 n0_i u) n0_i)) u) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(- (/ n0_i u) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.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))) |
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(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i n1_i) |
(- (+ n0_i (* n1_i (+ 1 (/ (* n1_i u) n0_i)))) (* n0_i u)) |
(-.f32 (fma.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) n1_i n0_i) (*.f32 n0_i u)) |
(+ (* -1 (/ (* (pow n1_i 2) u) n0_i)) (* n0_i u)) |
(-.f32 (*.f32 n0_i u) (/.f32 (*.f32 (*.f32 n1_i n1_i) u) 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 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(*.f32 (fma.f32 u (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) n1_i) |
(* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i))) |
(*.f32 (-.f32 (+.f32 (/.f32 n0_i (*.f32 n1_i u)) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i) |
(* n1_i (- (+ 1 (+ (/ n0_i (* n1_i u)) (/ (* n0_i (- n0_i (* n0_i u))) (* (pow n1_i 2) u)))) (+ (/ n0_i n1_i) (/ (* n0_i (- (/ n0_i u) n0_i)) (pow n1_i 2))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 n0_i (*.f32 n1_i n1_i)) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u)) (+.f32 (/.f32 n0_i (*.f32 n1_i u)) #s(literal 1 binary32))) (fma.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (/.f32 n0_i n1_i) (/.f32 n0_i n1_i))) n1_i) |
(* n1_i (- (+ 1 (+ (* -1 (/ (* n0_i (- (/ (* n0_i (- n0_i (* n0_i u))) u) (* n0_i (- (/ n0_i u) n0_i)))) (pow n1_i 3))) (+ (/ n0_i (* n1_i u)) (/ (* n0_i (- n0_i (* n0_i u))) (* (pow n1_i 2) u))))) (+ (/ n0_i n1_i) (/ (* n0_i (- (/ n0_i u) n0_i)) (pow n1_i 2))))) |
(*.f32 (-.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (*.f32 n0_i (-.f32 (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u)) (-.f32 (/.f32 n0_i u) n0_i))) (pow.f32 n1_i #s(literal 3 binary32))) (fma.f32 (/.f32 n0_i (*.f32 n1_i n1_i)) (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u)) (+.f32 (/.f32 n0_i (*.f32 n1_i u)) #s(literal 1 binary32)))) (fma.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (/.f32 n0_i n1_i) (/.f32 n0_i n1_i))) n1_i) |
(* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (+ 1 (/ n0_i n1_i))) |
(fma.f32 (/.f32 n0_i n1_i) n1_i n1_i) |
(* (pow n1_i 2) (- (/ 1 n1_i) (* -1 (/ u n0_i)))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) n1_i) (/.f32 u n0_i)) (*.f32 n1_i n1_i)) |
(* (pow n1_i 2) (- (+ (/ 1 n1_i) (/ n0_i (pow n1_i 2))) (+ (* -1 (/ u n0_i)) (/ (* n0_i u) (pow n1_i 2))))) |
(*.f32 (-.f32 (+.f32 (+.f32 (/.f32 n0_i (*.f32 n1_i n1_i)) (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 u n0_i)) (*.f32 (/.f32 u n1_i) (/.f32 n0_i n1_i))) (*.f32 n1_i n1_i)) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 (fma.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) |
(* (pow n1_i 2) (+ (* -1 (/ u n0_i)) (/ (* n0_i u) (pow n1_i 2)))) |
(*.f32 (-.f32 (*.f32 (/.f32 u n1_i) (/.f32 n0_i n1_i)) (/.f32 u n0_i)) (*.f32 n1_i n1_i)) |
(* n1_i (+ (/ u n0_i) (/ u n1_i))) |
(*.f32 (+.f32 (/.f32 u n1_i) (/.f32 u n0_i)) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (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))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 u (/.f32 (-.f32 (/.f32 n0_i u) 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 (/ (- (+ (* -1 (/ (- (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (* n0_i (- (/ n0_i u) n0_i)))) n1_i)) (/ n0_i u)) n0_i) n1_i)) 1))) |
(*.f32 (-.f32 (/.f32 (-.f32 (-.f32 (/.f32 n0_i u) (/.f32 (neg.f32 (*.f32 n0_i (-.f32 (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u)) (-.f32 (/.f32 n0_i u) n0_i)))) n1_i)) n0_i) (neg.f32 n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (/ (* n0_i (- (* -1 (/ (* n0_i (- n0_i (* n0_i u))) u)) (* -1 (* n0_i (- (/ n0_i u) n0_i))))) n1_i))) (* -1 (* n0_i (- (/ n0_i u) n0_i)))) n1_i)) (/ n0_i u)) n0_i) n1_i)) 1))) |
(*.f32 (-.f32 (/.f32 (-.f32 (-.f32 (/.f32 n0_i u) (/.f32 (fma.f32 #s(literal -1 binary32) (*.f32 n0_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u) (/.f32 (neg.f32 (*.f32 n0_i (-.f32 (*.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) u)) (-.f32 (/.f32 n0_i u) n0_i)))) n1_i))) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) n0_i)) n1_i)) n0_i) (neg.f32 n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))) |
(* -1 (* n1_i (- (* -1 (/ n0_i n1_i)) 1))) |
(*.f32 (-.f32 (/.f32 n0_i (neg.f32 n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* (pow n1_i 2) (- (* -1 (/ (- (* -1 (/ (- n0_i (* n0_i u)) n1_i)) 1) n1_i)) (* -1 (/ u n0_i)))) |
(*.f32 (fma.f32 (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) #s(literal -1 binary32)) n1_i) #s(literal -1 binary32) (/.f32 u n0_i)) (*.f32 n1_i 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 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n1_i) (sin.f32 (*.f32 normAngle u))))) |
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ u n1_i))))) |
(*.f32 (-.f32 (/.f32 u (neg.f32 n1_i)) (/.f32 u n0_i)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 68 | 448 |
| 0 | 100 | 422 |
| 1 | 351 | 420 |
| 2 | 2639 | 372 |
| 0 | 8139 | 358 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) |
(+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) 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 n1_i u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) |
(*.f32 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)) #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 (+ (* (- 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) |
(*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u) |
(*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) |
(-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(-.f32 (/.f32 n0_i u) n0_i) |
(*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
(*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (neg.f32 (sin.f32 normAngle))) (neg.f32 n0_i)) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal 1 binary32)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -1 binary32))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) n0_i))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (/.f32 (sin.f32 normAngle) n0_i)) |
(/.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) |
(/.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) n0_i)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(pow.f32 (/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 (sin.f32 normAngle) n0_i))) |
(neg.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (neg.f32 (sin.f32 normAngle)) n0_i))) |
(*.f32 (-.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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))) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #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))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -2 binary32))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -2 binary32)) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) (*.f32 (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) (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 (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 (neg.f32 n1_i) #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 2 binary32)) (pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
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(pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal 2 binary32)) |
(pow.f32 (neg.f32 (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32)) |
(pow.f32 (sin.f32 normAngle) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(/.f32 (neg.f32 (sin.f32 normAngle)) #s(literal -1 binary32)) |
(/.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal -1 binary32)) |
(pow.f32 (sin.f32 normAngle) #s(literal 1 binary32)) |
(sin.f32 normAngle) |
(exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32)))) |
(*.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) |
#s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (*.f32 n0_i n0_i)) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 n0_i u) n0_i))) |
(*.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (+.f32 (/.f32 n0_i u) n0_i)) (*.f32 (+.f32 (/.f32 n0_i u) n0_i) (*.f32 n0_i n0_i))) (pow.f32 (+.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)))) (*.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))) (pow.f32 n0_i #s(literal 3 binary32)))) (pow.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (*.f32 n0_i n0_i))) (neg.f32 (+.f32 (/.f32 n0_i u) n0_i))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (*.f32 n0_i n0_i)) (-.f32 (/.f32 n0_i u) (neg.f32 n0_i))) |
(/.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (*.f32 n0_i n0_i)) (+.f32 (/.f32 n0_i u) n0_i)) |
(/.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (-.f32 (*.f32 n0_i n0_i) (*.f32 (/.f32 n0_i u) (neg.f32 n0_i))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (*.f32 n0_i n0_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))) (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) |
(-.f32 (/.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (+.f32 (/.f32 n0_i u) n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 (/.f32 n0_i u) n0_i))) |
(-.f32 (/.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))))) |
(-.f32 (/.f32 n0_i u) n0_i) |
(fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 n0_i)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 u)) (neg.f32 n0_i)) |
(fma.f32 (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) (neg.f32 u)) (neg.f32 n0_i) (neg.f32 n0_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) u) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)) (neg.f32 n0_i)) |
(fma.f32 (/.f32 #s(literal 1 binary32) u) n0_i (neg.f32 n0_i)) |
(fma.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (neg.f32 u)) (neg.f32 n0_i)) |
(fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) |
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1 binary32) (/.f32 n0_i u) (neg.f32 n0_i)) |
(pow.f32 (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32)) (*.f32 n0_i n0_i))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (fma.f32 n0_i (+.f32 (/.f32 n0_i u) n0_i) (pow.f32 (/.f32 u n0_i) #s(literal -2 binary32))) (-.f32 (pow.f32 (/.f32 u n0_i) #s(literal -3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))) #s(literal -1 binary32)) |
(+.f32 (neg.f32 n0_i) (/.f32 n0_i u)) |
(+.f32 (/.f32 n0_i u) (neg.f32 n0_i)) |
(*.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i)) (/.f32 #s(literal 1 binary32) n0_i)) |
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i u) (-.f32 n0_i n1_i)) |
(*.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) (/.f32 u n0_i)) |
(*.f32 (/.f32 u n0_i) (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i))) |
(*.f32 (+.f32 n1_i n0_i) (*.f32 (-.f32 n0_i n1_i) (/.f32 u n0_i))) |
(*.f32 u (/.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) n0_i)) |
(*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) n0_i) (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32))) (/.f32 u n0_i)) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i))) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32))) (/.f32 u n0_i)) (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32)))) |
(/.f32 (*.f32 (neg.f32 u) (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i))) (neg.f32 n0_i)) |
(/.f32 (*.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) (neg.f32 u)) (neg.f32 n0_i)) |
(/.f32 (*.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) #s(literal 1 binary32)) (/.f32 n0_i u)) |
(/.f32 (*.f32 (/.f32 u n0_i) (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32)))) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i))) |
(/.f32 (*.f32 (/.f32 u n0_i) (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32)))) (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i))) (neg.f32 n0_i)) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32))) (neg.f32 u)) (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (neg.f32 n0_i))) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32))) u) (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) n0_i)) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (/.f32 n0_i u))) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32))) (neg.f32 u)) (*.f32 (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32))) (neg.f32 n0_i))) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32))) u) (*.f32 (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32))) n0_i)) |
(/.f32 (*.f32 (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32))) (/.f32 n0_i u))) |
(/.f32 (*.f32 (neg.f32 u) (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32)))) (*.f32 (neg.f32 n0_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)))) |
(/.f32 (*.f32 (neg.f32 u) (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32)))) (*.f32 (neg.f32 n0_i) (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32))))) |
(/.f32 (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32)))) (*.f32 n0_i (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)))) |
(/.f32 (*.f32 u (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32)))) (*.f32 n0_i (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32))))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 n0_i #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 4 binary32)))) (*.f32 (/.f32 n0_i u) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (pow.f32 n0_i #s(literal 6 binary32)) (pow.f32 n1_i #s(literal 6 binary32)))) (*.f32 (/.f32 n0_i u) (fma.f32 (*.f32 n1_i n1_i) (fma.f32 n1_i n1_i (*.f32 n0_i n0_i)) (pow.f32 n0_i #s(literal 4 binary32))))) |
(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i)) n0_i) |
(/.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) (/.f32 n0_i u)) |
(/.f32 #s(literal 1 binary32) (/.f32 n0_i (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i)))) |
(fma.f32 (*.f32 n0_i n0_i) (/.f32 u n0_i) (*.f32 (*.f32 (neg.f32 n1_i) n1_i) (/.f32 u n0_i))) |
(fma.f32 (/.f32 u n0_i) (*.f32 n0_i n0_i) (*.f32 (/.f32 u n0_i) (*.f32 (neg.f32 n1_i) n1_i))) |
(pow.f32 (/.f32 n0_i (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (*.f32 n0_i n0_i) (/.f32 u n0_i)) (*.f32 (*.f32 (neg.f32 n1_i) n1_i) (/.f32 u n0_i))) |
(+.f32 (*.f32 (/.f32 u n0_i) (*.f32 n0_i n0_i)) (*.f32 (/.f32 u n0_i) (*.f32 (neg.f32 n1_i) n1_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
(*.f32 (*.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (+.f32 n1_i n0_i)) |
(*.f32 (*.f32 (+.f32 n1_i n0_i) u) (/.f32 #s(literal 1 binary32) n0_i)) |
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i u) #s(literal 1 binary32)) |
(*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i)) |
(*.f32 (+.f32 n1_i n0_i) (/.f32 u n0_i)) |
(*.f32 u (/.f32 (+.f32 n1_i n0_i) n0_i)) |
(*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) n0_i) (+.f32 n1_i n0_i))) |
(*.f32 #s(literal 1 binary32) (fma.f32 (/.f32 u n0_i) n1_i u)) |
(/.f32 (*.f32 (neg.f32 u) (+.f32 n1_i n0_i)) (neg.f32 n0_i)) |
(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (/.f32 u n0_i)) (-.f32 n1_i n0_i)) |
(/.f32 (*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (/.f32 u n0_i)) (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i))) |
(/.f32 (*.f32 (/.f32 u n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (-.f32 n1_i n0_i)) |
(/.f32 (*.f32 (/.f32 u n0_i) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i))) |
(/.f32 (*.f32 (+.f32 n1_i n0_i) (neg.f32 u)) (neg.f32 n0_i)) |
(/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (*.f32 (/.f32 u n0_i) n1_i) u)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 3 binary32)) (pow.f32 u #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 2 binary32)) (-.f32 (*.f32 u u) (*.f32 (*.f32 (/.f32 u n0_i) n1_i) u)))) |
(/.f32 (neg.f32 (*.f32 (+.f32 n1_i n0_i) u)) (neg.f32 n0_i)) |
(/.f32 (*.f32 (neg.f32 u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (*.f32 (neg.f32 n0_i) (-.f32 n1_i n0_i))) |
(/.f32 (*.f32 (neg.f32 u) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) (*.f32 (neg.f32 n0_i) (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i)))) |
(/.f32 (*.f32 u (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (*.f32 n0_i (-.f32 n1_i n0_i))) |
(/.f32 (*.f32 u (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) (*.f32 n0_i (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i)))) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (*.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i))) |
(/.f32 (*.f32 #s(literal 1 binary32) (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32)))) (*.f32 (/.f32 n0_i u) (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i)))) |
(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (neg.f32 u)) (*.f32 (-.f32 n1_i n0_i) (neg.f32 n0_i))) |
(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (*.f32 (-.f32 n1_i n0_i) n0_i)) |
(/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) #s(literal 1 binary32)) (*.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u))) |
(/.f32 (*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (neg.f32 u)) (*.f32 (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i)) (neg.f32 n0_i))) |
(/.f32 (*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) u) (*.f32 (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i)) n0_i)) |
(/.f32 (*.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) #s(literal 1 binary32)) (*.f32 (fma.f32 n0_i (-.f32 n0_i n1_i) (*.f32 n1_i n1_i)) (/.f32 n0_i u))) |
(/.f32 (*.f32 (+.f32 n1_i n0_i) u) n0_i) |
(/.f32 (+.f32 n1_i n0_i) (/.f32 n0_i u)) |
(/.f32 #s(literal 1 binary32) (/.f32 n0_i (*.f32 (+.f32 n1_i n0_i) u))) |
(fma.f32 (*.f32 n0_i u) (/.f32 #s(literal 1 binary32) n0_i) (*.f32 (/.f32 u n0_i) n1_i)) |
(fma.f32 (/.f32 u n0_i) n1_i u) |
(fma.f32 (/.f32 u n0_i) n0_i (*.f32 (/.f32 u n0_i) n1_i)) |
(fma.f32 (*.f32 n1_i u) (/.f32 #s(literal 1 binary32) n0_i) u) |
(fma.f32 n1_i (/.f32 u n0_i) u) |
(fma.f32 n0_i (/.f32 u n0_i) (*.f32 (/.f32 u n0_i) n1_i)) |
(fma.f32 u (*.f32 (/.f32 #s(literal 1 binary32) n0_i) n1_i) u) |
(fma.f32 u #s(literal 1 binary32) (*.f32 (/.f32 u n0_i) n1_i)) |
(fma.f32 #s(literal 1 binary32) u (*.f32 (/.f32 u n0_i) n1_i)) |
(pow.f32 (/.f32 n0_i (*.f32 (+.f32 n1_i n0_i) u)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (/.f32 u n0_i) n1_i) u) |
(+.f32 u (*.f32 (/.f32 u n0_i) n1_i)) |
(*.f32 n1_i (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) |
Compiled 69 180 to 5 928 computations (91.4% saved)
33 alts after pruning (28 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 941 | 17 | 958 |
| Fresh | 13 | 11 | 24 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 2 | 3 |
| Total | 957 | 33 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| 32.5% | (/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) | |
| ✓ | 98.9% | (+.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| ✓ | 99.1% | (+.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)) |
| 82.7% | (+.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)) | |
| 45.9% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) | |
| 32.1% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) #s(approx (* (sin (* normAngle u)) n1_i) (*.f32 (*.f32 n1_i normAngle) u)))) | |
| 31.1% | (*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32))))) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) | |
| 39.3% | #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))) | |
| 39.3% | #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))) | |
| 98.5% | #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)))) | |
| 46.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| 97.7% | #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 u (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))))) | |
| 79.6% | #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 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) (-.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 n1_i n0_i))) u))) | |
| 77.1% | #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 (-.f32 (*.f32 n0_i (+.f32 n1_i n0_i)) (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i))) (*.f32 (+.f32 n1_i n0_i) u)) u))) | |
| 63.9% | #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 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (*.f32 (-.f32 n1_i n0_i) n0_i))) u))) | |
| 88.2% | #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 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) n0_i) (+.f32 n1_i n0_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 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 (-.f32 n0_i n1_i) (/.f32 u n0_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) | |
| 58.6% | #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 n1_i n0_i)) #s(approx (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (*.f32 n0_i u))) (*.f32 (/.f32 u 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))) | |
| ✓ | 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))) |
| 98.1% | #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))) | |
| 44.6% | #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 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) #s(literal -1 binary32))) u))) | |
| 93.7% | #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 (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (*.f32 (-.f32 (+.f32 (/.f32 n0_i (*.f32 n1_i u)) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i)) u))) | |
| 62.4% | #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 #s(approx (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (*.f32 (neg.f32 n0_i) (+.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1 binary32) u #s(literal -1 binary32)) u) (/.f32 n1_i (*.f32 n0_i u))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 n1_i u))))) u))) | |
| 97.3% | #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 #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))) | |
| ✓ | 39.3% | #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 n1_i u))) |
| 57.8% | #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 (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) | |
| 8.0% | #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)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 u) n0_i)))) | |
| 57.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (+.f32 (*.f32 (/.f32 n0_i u) u) (*.f32 (neg.f32 n0_i) u))))) | |
| ✓ | 57.6% | #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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
| 57.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #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)))))) | |
| 57.1% | #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) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (*.f32 (neg.f32 n0_i) u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))))))) |
Compiled 4 956 to 1 430 computations (71.1% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.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 (-.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)) #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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (*.f32 (neg.f32 n0_i) u) (-.f32 #s(literal 1 binary32) (/.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) u) (*.f32 (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(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 #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)) (/.f32 u (/.f32 #s(literal 1 binary32) (+.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (*.f32 (-.f32 (+.f32 (/.f32 n0_i (*.f32 n1_i u)) #s(literal 1 binary32)) (/.f32 n0_i n1_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 (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 #s(literal 1 binary32) (+.f32 n1_i n0_i)) #s(approx (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (*.f32 n0_i u))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (+.f32 n1_i n0_i)) (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i))) (*.f32 (+.f32 n1_i n0_i) u)) 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 (+.f32 n1_i n0_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 (-.f32 n0_i n1_i) (/.f32 u n0_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) n0_i) (+.f32 n1_i n0_i)))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (*.f32 (neg.f32 n0_i) (+.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1 binary32) u #s(literal -1 binary32)) u) (/.f32 n1_i (*.f32 n0_i u))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 n1_i u))))) 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 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (*.f32 (-.f32 n1_i n0_i) n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) (-.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 n1_i n0_i))) u))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) #s(approx (* (sin (* normAngle u)) n1_i) (*.f32 (*.f32 n1_i normAngle) u)))) |
(+.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 (* (- 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 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.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 #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)) u) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))) |
(+.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (/ 1 (sin (* normAngle (- 1 u)))) (/ n0_i (sin normAngle))) (/.f32 (/.f32 #s(literal 1 binary32) (-.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 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/.f32 #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) #s(literal -1 binary32))) u))) |
(*.f32 #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) 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)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i #s(approx (sin (* (- 1 u) normAngle)) (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(+.f32 (*.f32 (*.f32 #s(approx (sin (* (- 1 u) normAngle)) (*.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 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.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 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) |
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ 1 (sin (* normAngle (- 1 u)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* (- 1 u) normAngle))) (-.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) normAngle) 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 #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 (/.f32 n0_i (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 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (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 (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 #s(literal 1 binary32) (/.f32 (/.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 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i (sin.f32 normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 (+.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)) |
(*.f32 (/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32))))) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (*.f32 (sin.f32 (*.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 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 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.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 #s(approx (/ normAngle (/ 1 (- 1 u))) (*.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 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (pow.f32 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle)) #s(literal -1/2 binary32))) 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 #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) (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) (exp.f32 (neg.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32)))))) 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 (sin.f32 normAngle) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) (sin.f32 normAngle))) |
| 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:
| 24.0ms | normAngle |
| 24.0ms | u |
| 23.0ms | (+.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 | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 1 | normAngle |
| 99.1% | 1 | u |
| 99.1% | 1 | n0_i |
| 99.1% | 1 | n1_i |
| 99.1% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.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 (-.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)) #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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (*.f32 (neg.f32 n0_i) u) (-.f32 #s(literal 1 binary32) (/.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) u) (*.f32 (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(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 #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)) (/.f32 u (/.f32 #s(literal 1 binary32) (+.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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (*.f32 (-.f32 (+.f32 (/.f32 n0_i (*.f32 n1_i u)) #s(literal 1 binary32)) (/.f32 n0_i n1_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 (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 #s(literal 1 binary32) (+.f32 n1_i n0_i)) #s(approx (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i))) (*.f32 n0_i u))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (+.f32 n1_i n0_i)) (*.f32 (*.f32 (+.f32 n1_i n0_i) u) (-.f32 n0_i n1_i))) (*.f32 (+.f32 n1_i n0_i) u)) 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 (+.f32 n1_i n0_i)) (*.f32 u (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 (-.f32 n0_i n1_i) (/.f32 u n0_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 u (*.f32 (/.f32 #s(literal 1 binary32) n0_i) (+.f32 n1_i n0_i)))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) (*.f32 (neg.f32 n0_i) (+.f32 (-.f32 (/.f32 (fma.f32 #s(literal 1 binary32) u #s(literal -1 binary32)) u) (/.f32 n1_i (*.f32 n0_i u))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 n1_i u))))) 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 n1_i n0_i)) (*.f32 (/.f32 u n0_i) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (*.f32 (-.f32 n1_i n0_i) n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (/.f32 (*.f32 (-.f32 n0_i n1_i) (+.f32 n1_i n0_i)) (-.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 n1_i n0_i))) u))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(approx (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) #s(approx (* (sin (* normAngle u)) n1_i) (*.f32 (*.f32 n1_i normAngle) u)))) |
(+.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)) |
| 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:
| 27.0ms | n0_i |
| 21.0ms | normAngle |
| 11.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 10.0ms | u |
| 9.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | normAngle |
| 98.5% | 1 | u |
| 98.5% | 1 | n0_i |
| 98.5% | 1 | n1_i |
| 98.5% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.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 (-.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 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 (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_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 n1_i u))) |
5 calls:
| 4.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 4.0ms | n1_i |
| 4.0ms | normAngle |
| 4.0ms | u |
| 4.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.8% | 1 | normAngle |
| 57.8% | 1 | u |
| 73.3% | 3 | n0_i |
| 74.0% | 3 | n1_i |
| 57.8% | 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)) |
Compiled 29 to 33 computations (-13.8% saved)
Total -10.0b remaining (-51.6%)
Threshold costs -10b (-51.6%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 u) n0_i)))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.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 | u |
| 1.0ms | n1_i |
| 1.0ms | normAngle |
| 1.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.3% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 39.3% | 1 | u |
| 39.3% | 1 | normAngle |
| 39.3% | 1 | n0_i |
| 39.3% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 71.0ms | 1.0476125327916888e-20 | 1.056516598942068e-20 |
| 0.0ms | -2.3603262898873323e-13 | -2.240934759804858e-13 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 265 |
| 1 | 68 | 265 |
| 2 | 72 | 265 |
| 3 | 74 | 265 |
| 4 | 75 | 265 |
| 1× | saturated |
| 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 n1_i #s(literal -4242751/18446744073709551616 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 n1_i u))) (if (<=.f32 n1_i #s(literal 6499185/618970019642690137449562112 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)) #s(approx (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_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 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 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)) |
(+.f32 (*.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)))) |
#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)) (+.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) |
(if (<=.f32 n1_i #s(literal -4242751/18446744073709551616 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 n1_i u))) (if (<=.f32 n1_i #s(literal 6499185/618970019642690137449562112 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)) #s(approx (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_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 n1_i u))))) |
(if (<=.f32 n1_i #s(literal -4242751/18446744073709551616 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 n1_i u))) (if (<=.f32 n1_i #s(literal 6499185/618970019642690137449562112 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)) #s(approx (* (/ (- (* 1 (+ n1_i n0_i)) (* (/ u n0_i) (- (* n0_i n0_i) (* n1_i n1_i)))) (* (/ u n0_i) (+ n1_i n0_i))) u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 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 n1_i u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 292 |
| 0 | 85 | 254 |
| 1 | 256 | 244 |
| 2 | 1751 | 244 |
| 0 | 8396 | 243 |
| 0 | 879 | 4251 |
| 1 | 2948 | 3986 |
| 0 | 8431 | 3757 |
| 0 | 56 | 386 |
| 0 | 88 | 362 |
| 1 | 299 | 352 |
| 2 | 2092 | 352 |
| 0 | 8500 | 343 |
| 0 | 662 | 3256 |
| 1 | 2102 | 3038 |
| 2 | 7505 | 3038 |
| 0 | 8494 | 2874 |
| 0 | 626 | 3270 |
| 1 | 2017 | 3126 |
| 2 | 7160 | 3066 |
| 0 | 8357 | 2832 |
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3391 | 1384 |
| 0 | 8129 | 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 422 to 195 computations (53.8% saved)
(abs normAngle)
Compiled 796 to 290 computations (63.6% saved)
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