
Time bar (total: 9.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 1.8s | 8 256× | 0 | valid |
| 756.0ms | 2 052× | 0 | invalid |
ival-sin: 624.0ms (30.7% of total)ival-mult: 411.0ms (20.2% of total)ival-<=: 365.0ms (18% of total)const: 199.0ms (9.8% of total)ival-div: 141.0ms (6.9% of total)ival-sub: 112.0ms (5.5% of total)ival-add: 56.0ms (2.8% of total)ival-and: 53.0ms (2.6% of total)ival-pi: 44.0ms (2.2% of total)exact: 21.0ms (1% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 20 | (1.6448109111984674e-32 5.9406115582305574e-9 1.38419715490354e-16 3.6137408989054746e-37) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 1 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f32 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
*.f32 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | n*o | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 1 | 9 |
| - | 0 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 9 |
| - | 0 | 0 | 246 |
| number | freq |
|---|---|
| 0 | 255 |
| 2 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 116.0ms | 498× | 0 | valid |
| 3.0ms | 14× | 1 | valid |
Compiled 231 to 55 computations (76.2% saved)
ival-mult: 48.0ms (68.2% of total)ival-sin: 12.0ms (17% of total)ival-div: 4.0ms (5.7% of total)ival-add: 2.0ms (2.8% of total)ival-sub: 2.0ms (2.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 279 | 300 |
| 2 | 744 | 283 |
| 3 | 2029 | 255 |
| 4 | 3889 | 252 |
| 5 | 6700 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 48 | 21 |
| 2 | 88 | 20 |
| 3 | 158 | 18 |
| 4 | 205 | 18 |
| 5 | 240 | 18 |
| 6 | 283 | 18 |
| 7 | 368 | 18 |
| 8 | 517 | 18 |
| 9 | 616 | 18 |
| 10 | 758 | 18 |
| 11 | 1251 | 18 |
| 12 | 1987 | 18 |
| 13 | 2323 | 18 |
| 14 | 2342 | 18 |
| 15 | 2343 | 18 |
| 16 | 2343 | 18 |
| 0 | 2343 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.1% | (+.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 25 to 17 computations (32% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 4 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 0 | 29 | 101 |
| 1 | 48 | 89 |
| 2 | 88 | 88 |
| 3 | 158 | 86 |
| 4 | 205 | 86 |
| 5 | 240 | 86 |
| 6 | 283 | 86 |
| 7 | 368 | 86 |
| 8 | 517 | 86 |
| 9 | 616 | 86 |
| 10 | 758 | 86 |
| 11 | 1251 | 86 |
| 12 | 1987 | 86 |
| 13 | 2323 | 86 |
| 14 | 2342 | 86 |
| 15 | 2343 | 86 |
| 16 | 2343 | 86 |
| 0 | 2343 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
n1_i |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12109375 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.18359375 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.5482028719391715 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.5466088137373115 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 42.0ms | 249× | 0 | valid |
| 2.0ms | 7× | 1 | valid |
Compiled 103 to 19 computations (81.6% saved)
ival-sin: 12.0ms (48.1% of total)ival-mult: 8.0ms (32.1% of total)ival-div: 2.0ms (8% of total)ival-add: 1.0ms (4% of total)ival-sub: 1.0ms (4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.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 | |
|---|---|---|---|---|
| 16.0ms | n0_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 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))) (* (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)) |
| 4.0ms | u | @ | 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)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3458 | 1384 |
| 0 | 8472 | 1298 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) normAngle) normAngle (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32) (*.f32 #s(literal 1/6 binary32) (+.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) u) (/.f32 n0_i (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 53 |
| 1 | 83 | 53 |
| 2 | 469 | 52 |
| 3 | 4873 | 52 |
| 0 | 8536 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))) |
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(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle))) |
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 normAngle u) normAngle) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
Compiled 11 569 to 1 089 computations (90.6% saved)
23 alts after pruning (23 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 256 | 23 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 257 | 23 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 63.0% | (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #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 2 binary32))) (/.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))) | |
| 82.0% | (+.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)) | |
| 48.3% | (+.f32 (/.f32 (exp.f32 (log.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)) | |
| 97.0% | (+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.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)))) | |
| ▶ | 81.8% | (+.f32 (*.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 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 96.6% | (+.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)) | |
| 78.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (fma.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)) | |
| 57.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.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 #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)) | |
| 79.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.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)) | |
| ▶ | 78.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 97.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 57.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (/.f32 #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)) | |
| 96.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.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 normAngle u)))) n1_i)) | |
| 38.2% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i)) | |
| ▶ | 98.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 97.1% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.2% | (+.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)) | |
| 81.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ▶ | 41.9% | (*.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))))) |
| 30.2% | (*.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))))) | |
| ▶ | 40.6% | #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))) |
| 39.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
Compiled 1 356 to 930 computations (31.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 2 | (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 4 | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| cost-diff | 5 | (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) | |
| cost-diff | 0 | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 2 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| cost-diff | 4 | (+.f32 (*.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 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 | 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))))) | |
| 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 | 2 | (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 | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| cost-diff | 2 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 501 |
| 0 | 91 | 454 |
| 1 | 148 | 413 |
| 2 | 237 | 413 |
| 3 | 382 | 413 |
| 4 | 653 | 413 |
| 5 | 1420 | 411 |
| 6 | 4990 | 411 |
| 0 | 8544 | 406 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
n1_i |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (*.f32 (/.f32 #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 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.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 |
(*.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) |
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) |
n1_i |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) |
(+.f32 #s(literal -1 binary32) (*.f32 u u)) |
#s(literal -1 binary32) |
(*.f32 u u) |
u |
normAngle |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 normAngle 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 normAngle 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 normAngle u))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (-.f32 normAngle (*.f32 normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 normAngle (*.f32 normAngle 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 normAngle 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 normAngle 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 normAngle u)))) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (-.f32 normAngle (*.f32 normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 normAngle (*.f32 normAngle u)) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (*.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 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 normAngle u))))) (sin.f32 normAngle)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 normAngle u)))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
normAngle |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 normAngle u)))) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (-.f32 normAngle (*.f32 normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 normAngle (*.f32 normAngle u)) |
(-.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) |
n1_i |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (-.f32 normAngle (*.f32 normAngle u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (*.f32 normAngle u)))) |
(*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) (sin.f32 normAngle)) |
(sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) |
(sin.f32 (-.f32 normAngle (*.f32 normAngle u))) |
(/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(-.f32 normAngle (*.f32 normAngle u)) |
(*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) |
(*.f32 (fma.f32 u u #s(literal -1 binary32)) normAngle) |
(+.f32 #s(literal -1 binary32) (*.f32 u u)) |
(fma.f32 u u #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 u u) |
u |
normAngle |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
(-.f32 #s(literal -1 binary32) u) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
#s(literal 1 binary32) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
n1_i |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.33203125 | (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) | |
| accuracy | 0.5482028719391715 | (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.5466088137373115 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 9.922149182163677 | (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) | |
| accuracy | 0.1171875 | (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| accuracy | 0.18359375 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 1.5466088137373115 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 11.105574251920583 | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| accuracy | 0.1171875 | (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) | |
| accuracy | 0.18359375 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 8.003960683293707 | (*.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 | 10.121455538973779 | (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 | 0.4780994210627698 | #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 | 19.199671748273495 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.1015625 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.12109375 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.18359375 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.5482028719391715 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 96.0ms | 249× | 0 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 482 to 43 computations (91.1% saved)
ival-mult: 31.0ms (51.2% of total)ival-add: 12.0ms (19.8% of total)ival-sin: 9.0ms (14.9% of total)ival-div: 5.0ms (8.3% of total)ival-sub: 1.0ms (1.7% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(-.f32 #s(literal 1 binary32) u) |
(*.f32 n1_i u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(+.f32 (*.f32 (/.f32 #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 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (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 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
| 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)))) |
(/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (* n1_i u)) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3)))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5)))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n1_i (pow u 7))) (* -1/5040 (/ (* n0_i (pow (- (pow u 2) 1) 7)) (pow (- (* -1 u) 1) 7)))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (+ (* -1/5040 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))) |
(- (+ (* (pow normAngle 2) (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (pow (- (pow u 2) 1) 7) (pow (- (* -1 u) 1) 7))) (+ (* -1/6 (- (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* -1/5040 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (* 1/120 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))))))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(* 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)) |
(+ (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) |
(* 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)))) |
(+ 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)))))))))) |
-1 |
(- (* -1 u) 1) |
(* 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))) |
(+ (/ (* n0_i (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u)))) (sin normAngle)) |
(* -1 (* u (+ 1 (/ 1 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)))) |
(* -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))) |
(/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (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))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (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))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (* n1_i (sin normAngle))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | 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)))) (+ (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1)) (+ (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* -1 u) -1)) |
| 8.0ms | 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)))) (+ (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1)) (+ (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* -1 u) -1)) |
| 6.0ms | n0_i | @ | inf | ((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1)) (+ (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* -1 u) -1)) |
| 6.0ms | normAngle | @ | inf | ((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (sin normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1)) (+ (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* -1 u) -1)) |
| 5.0ms | 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)))) (+ (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ 1 (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle)))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1)) (+ (* (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (+ -1 (* u u)) normAngle) (+ (* -1 u) -1))) (/ 1 (sin normAngle))) (* (- 1 u) normAngle) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* -1 u) -1)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 693 | 4305 |
| 1 | 2216 | 3973 |
| 2 | 7818 | 3973 |
| 0 | 8399 | 3666 |
| 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)))) |
(/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (* n1_i u)) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3)))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5)))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n1_i (pow u 7))) (* -1/5040 (/ (* n0_i (pow (- (pow u 2) 1) 7)) (pow (- (* -1 u) 1) 7)))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (+ (* -1/5040 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))) |
(- (+ (* (pow normAngle 2) (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (pow (- (pow u 2) 1) 7) (pow (- (* -1 u) 1) 7))) (+ (* -1/6 (- (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* -1/5040 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (* 1/120 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))))))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(* 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)) |
(+ (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) |
(* 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)))) |
(+ 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)))))))))) |
-1 |
(- (* -1 u) 1) |
(* 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))) |
(+ (/ (* n0_i (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u)))) (sin normAngle)) |
(* -1 (* u (+ 1 (/ 1 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)))) |
(* -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))) |
(/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) |
(* n0_i (+ (/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (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))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (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))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (* n1_i (sin normAngle))))))) |
| 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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) (-.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 (*.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #s(literal -1/5040 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i 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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* 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 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) #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 (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #s(literal 1/120 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #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 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(/ 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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))))))))))))) |
(*.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) normAngle) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) u) |
(/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)) |
(*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (* n1_i u)) |
(fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3)))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (/.f32 n0_i (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5)))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 5 binary32)) (/.f32 n0_i (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (/.f32 n0_i (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i))))) (*.f32 normAngle normAngle) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n1_i (pow u 7))) (* -1/5040 (/ (* n0_i (pow (- (pow u 2) 1) 7)) (pow (- (* -1 u) 1) 7)))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/6 (- (* 1/120 (/ (* n0_i (pow (- (pow u 2) 1) 5)) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (+ (* -1/5040 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* -1/6 (- (* -1/6 (/ (* n0_i (pow (- (pow u 2) 1) 3)) (pow (- (* -1 u) 1) 3))) (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* 1/120 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 7 binary32)) (/.f32 n0_i (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 7 binary32))) (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 (*.f32 n1_i u) #s(literal 1/120 binary32)))) (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)) (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 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 5 binary32)) (/.f32 n0_i (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 5 binary32))) (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (/.f32 n0_i (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i))))) (*.f32 normAngle normAngle) (fma.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) n0_i (*.f32 n1_i u))) |
(- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))) |
(/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(- (+ (* (pow normAngle 2) (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (*.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) |
(- (+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (* (pow normAngle 2) (- (* -1/5040 (/ (pow (- (pow u 2) 1) 7) (pow (- (* -1 u) 1) 7))) (+ (* -1/6 (- (* 1/120 (/ (pow (- (pow u 2) 1) 5) (pow (- (* -1 u) 1) 5))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))) (+ (* -1/5040 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))) (* 1/120 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1))))))))))) (+ (* -1/6 (- (* -1/6 (/ (pow (- (pow u 2) 1) 3) (pow (- (* -1 u) 1) 3))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (* 1/120 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))))) (* -1/6 (- (/ (pow u 2) (- (* -1 u) 1)) (/ 1 (- (* -1 u) 1)))))) (/ (pow u 2) (- (* -1 u) 1))) (/ 1 (- (* -1 u) 1))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 7 binary32))) (fma.f32 (-.f32 (/.f32 (*.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (*.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (*.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (/.f32 (*.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (*.f32 (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (/.f32 (pow.f32 (fma.f32 u u #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) #s(literal 3 binary32))) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))))) (*.f32 normAngle normAngle) (/.f32 (fma.f32 u u #s(literal -1 binary32)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) |
(* n0_i (* normAngle (- 1 u))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) n0_i) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(+ (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (sin.f32 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 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) u) (*.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 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.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 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (pow.f32 normAngle #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #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 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 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 #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 (/.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 #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)))) |
(*.f32 (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 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(+ 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 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) u)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) normAngle))) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
-1 |
#s(literal -1 binary32) |
(- (* -1 u) 1) |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (-.f32 (/.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) |
(+ (/ (* n0_i (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
(/ (sin (* -1 (/ (* normAngle (- (pow u 2) 1)) (+ 1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (sin.f32 normAngle)) |
(* -1 (* u (+ 1 (/ 1 u)))) |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
(/ (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 (neg.f32 u) (-.f32 n0_i n1_i)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 (sin.f32 (*.f32 (-.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) |
(/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (/.f32 n0_i (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (/.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (sin.f32 normAngle))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 (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)))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) n0_i) (/.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (sin.f32 normAngle))))) |
(* 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 #s(literal 1 binary32) u) (/.f32 n0_i n1_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) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (/.f32 n0_i (*.f32 n1_i (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 (neg.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (/ (* normAngle (- (pow u 2) 1)) (- (* -1 u) 1)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 (sin.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 normAngle (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))))) (/.f32 n0_i (*.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 275 |
| 0 | 91 | 224 |
| 1 | 272 | 213 |
| 2 | 1926 | 213 |
| 0 | 8661 | 212 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(-.f32 #s(literal 1 binary32) u) |
(*.f32 n1_i u) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) |
(+.f32 (*.f32 (/.f32 #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 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (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 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (/.f32 (*.f32 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
| Outputs |
|---|
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (neg.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))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.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))) (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 (/.f32 (sin.f32 normAngle) (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))))) |
(pow.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))))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal 2 binary32)) (-.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 (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 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 2 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 (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 (*.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 (/.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 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 (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 (*.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 (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 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))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (-.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))))) #s(literal 3 binary32))) (fma.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 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 (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 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))))) (fma.f32 (/.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 2 binary32)) (-.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 (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 (*.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 (/.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 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 (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 (*.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 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)))) (neg.f32 (-.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 (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))))) (neg.f32 (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 (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))))) (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 (/.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 (*.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 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 (*.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)))) (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 (-.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 (/.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 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 (*.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)))) (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)))))) |
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (*.f32 u u) (fma.f32 u u #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (/.f32 normAngle (-.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 (fma.f32 u (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) u) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 u u #s(literal -1 binary32)) (-.f32 #s(literal -1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (fma.f32 (*.f32 u u) (fma.f32 u u #s(literal 1 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u)) (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) normAngle))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 normAngle #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u))) |
(-.f32 #s(literal 0 binary32) (*.f32 (/.f32 normAngle #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) 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 #s(literal 1 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
(+.f32 normAngle (*.f32 normAngle (neg.f32 u))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))) |
(neg.f32 (*.f32 (/.f32 normAngle #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) 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))))) |
(expm1.f32 (*.f32 (log.f32 u) #s(literal 1 binary32))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 4 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u u #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u u) (fma.f32 u u #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 u u) (fma.f32 u u #s(literal 1 binary32)) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal -1 binary32) u) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) |
(*.f32 (neg.f32 (fma.f32 u u #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)) (/.f32 (-.f32 #s(literal -1 binary32) u) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(*.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 u u (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u u (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal 1 binary32)) |
(*.f32 (fma.f32 u u #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) |
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) |
(*.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) (+.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (*.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 u u #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 u u (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (-.f32 (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(/.f32 (neg.f32 (fma.f32 u u #s(literal -1 binary32))) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 u u (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)))) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) |
(/.f32 (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (-.f32 #s(literal -1 binary32) u) #s(literal 1 binary32)) |
(/.f32 (fma.f32 u u #s(literal -1 binary32)) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u)))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(-.f32 (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 (/.f32 (pow.f32 u #s(literal 4 binary32)) (fma.f32 u u #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) |
(-.f32 (/.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) #s(literal 1 binary32))) |
(-.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) |
(-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal -1 binary32) u))) |
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 (neg.f32 u) #s(literal 1 binary32)) |
(-.f32 #s(literal -1 binary32) (/.f32 u #s(literal 1 binary32))) |
(-.f32 #s(literal -1 binary32) (neg.f32 u)) |
(-.f32 #s(literal -1 binary32) u) |
(-.f32 u #s(literal 1 binary32)) |
(fma.f32 (pow.f32 u #s(literal 1/2 binary32)) (pow.f32 u #s(literal 1/2 binary32)) #s(literal -1 binary32)) |
(fma.f32 (/.f32 (*.f32 (neg.f32 u) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (*.f32 (neg.f32 u) u) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (neg.f32 u) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (neg.f32 u) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.f32 #s(literal 1 binary32) u) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (*.f32 (neg.f32 u) u) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (*.f32 (neg.f32 u) u) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 u (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 u (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 u (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 u (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (*.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (*.f32 u u) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (*.f32 (neg.f32 u) u) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (neg.f32 u) #s(literal -1 binary32)) (/.f32 (neg.f32 u) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 (*.f32 u u) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (/.f32 u #s(literal -1 binary32)) (/.f32 u (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 (pow.f32 (neg.f32 u) #s(literal 1 binary32)) #s(literal -1 binary32) #s(literal -1 binary32)) |
(fma.f32 (neg.f32 u) #s(literal -1 binary32) #s(literal -1 binary32)) |
(fma.f32 (*.f32 u u) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 u u) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 u) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(fma.f32 #s(literal -1 binary32) (neg.f32 u) #s(literal -1 binary32)) |
(fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)) |
(fma.f32 u #s(literal -1 binary32) #s(literal -1 binary32)) |
(fma.f32 u #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) u #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(+.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)))) |
(+.f32 (neg.f32 u) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (neg.f32 u)) |
(+.f32 #s(literal -1 binary32) u) |
(+.f32 u #s(literal -1 binary32)) |
(neg.f32 (-.f32 #s(literal 1 binary32) u)) |
Compiled 55 017 to 4 861 computations (91.2% saved)
29 alts after pruning (28 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 302 | 25 | 1 327 |
| Fresh | 15 | 3 | 18 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 321 | 29 | 1 350 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 83.6% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 98.9% | (+.f32 (/.f32 n0_i (/.f32 (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)) | |
| 83.0% | (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 78.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (fma.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)) | |
| 98.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.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)) | |
| 96.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.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 normAngle u)))) n1_i)) | |
| 97.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.4% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(approx (- 1 u) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.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)) | |
| 98.7% | (+.f32 (*.f32 (*.f32 #s(approx (sin (* (- 1 u) normAngle)) (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) 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)) | |
| ▶ | 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)) |
| 83.0% | (+.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)) | |
| 74.7% | (*.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))) | |
| ▶ | 41.9% | (*.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))))) |
| 40.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) | |
| 13.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (fma.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))))) n0_i (*.f32 n1_i u))) | |
| 40.6% | #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))) | |
| ✓ | 40.6% | #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))) |
| 40.6% | #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))) | |
| 56.8% | #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)))) | |
| 76.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) | |
| 52.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))) | |
| 98.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 39.8% | #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)))) | |
| 46.4% | #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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| ▶ | 38.7% | #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))) |
| ▶ | 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 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
| 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) | |
| 42.1% | #s(approx (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) 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))) |
Compiled 2 234 to 1 378 computations (38.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 0 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 0 | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) | |
| cost-diff | 1 | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 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 | (/.f32 #s(literal 1 binary32) normAngle) | |
| cost-diff | 0 | #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) | |
| cost-diff | 0 | (*.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))))) | |
| 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 | 3 | (*.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 | 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 476 |
| 0 | 81 | 476 |
| 1 | 134 | 450 |
| 2 | 221 | 438 |
| 3 | 371 | 434 |
| 4 | 561 | 434 |
| 5 | 892 | 428 |
| 6 | 1897 | 428 |
| 7 | 2871 | 428 |
| 8 | 5144 | 428 |
| 9 | 6768 | 428 |
| 10 | 7992 | 428 |
| 0 | 8071 | 419 |
| 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 #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))))) |
#s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) |
(/.f32 #s(literal 1 binary32) normAngle) |
#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)))) |
n1_i |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
u |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
normAngle |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(sin.f32 normAngle) |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#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 #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 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle))) |
#s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) |
(/.f32 #s(literal 1 binary32) normAngle) |
#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)))) |
(fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
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 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
n0_i |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
n0_i |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
normAngle |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(sin.f32 normAngle) |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
(*.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 | 0.1015625 | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.1171875 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.18359375 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 11.02935052113763 | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) | |
| accuracy | 0.18359375 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.7059630940809254 | #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) | |
| accuracy | 8.003960683293707 | (*.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))))) | |
| accuracy | 8.986723280732338 | (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| accuracy | 0.0390625 | (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) | |
| accuracy | 0.23828125 | (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) | |
| accuracy | 0.2926050413890958 | (-.f32 (/.f32 n0_i u) n0_i) | |
| accuracy | 0.4780994210627698 | #s(approx (+ (* (* (sin (* (- 1 u) 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 | 0.0703125 | (*.f32 (-.f32 n1_i n0_i) u) | |
| accuracy | 0.4780994210627698 | #s(approx (+ (* (* (sin (* (- 1 u) 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 | 19.388784388189872 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) | |
| accuracy | 0.05078125 | (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) | |
| accuracy | 0.1015625 | (+.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 | 0.12109375 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| accuracy | 0.24369060748468827 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
| 83.0ms | 249× | 0 | valid |
| 4.0ms | 7× | 1 | valid |
Compiled 366 to 42 computations (88.5% saved)
ival-div: 24.0ms (36.2% of total)ival-mult: 23.0ms (34.7% of total)ival-sin: 9.0ms (13.6% of total)ival-add: 5.0ms (7.5% of total)ival-sub: 4.0ms (6% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(-.f32 n1_i n0_i) |
(*.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 #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))))) |
#s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) 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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(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 n0_i u) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.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) |
(+ (* n0_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 (+ (* 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)))))))))))))) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(* normAngle (- 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)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (/ (* n0_i (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)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ 1 (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(sin (* normAngle (- 1 u))) |
(/ (* n1_i (sin (* normAngle 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)))))) |
(+ 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) |
(* 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)))))))))))) |
(+ (* -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)))))))))) |
(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))))))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (+ n0_i (* -1 (* n0_i u))) 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 (* 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))))) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle 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))) |
(* n1_i (sin (* normAngle u))) |
(* 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)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (* 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)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 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))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 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 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | normAngle | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (* (+ (- (/ 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) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (/ 1 normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (- (/ n0_i u) n0_i) (* (- 1 u) normAngle) (* normAngle (- 1 u))) |
| 5.0ms | n1_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) 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) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (/ 1 normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (- (/ n0_i u) n0_i) (* (- 1 u) normAngle) (* normAngle (- 1 u))) |
| 3.0ms | 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) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (/ 1 normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (- (/ n0_i u) n0_i) (* (- 1 u) normAngle) (* normAngle (- 1 u))) |
| 3.0ms | u | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (* (+ (- (/ 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) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (/ 1 normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (- (/ n0_i u) n0_i) (* (- 1 u) normAngle) (* normAngle (- 1 u))) |
| 3.0ms | n1_i | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (* (+ (- (/ 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) (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/ 1 (sin normAngle)) (/ 1 normAngle) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle)))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (- (/ n0_i u) n0_i) (* (- 1 u) normAngle) (* normAngle (- 1 u))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 614 | 3274 |
| 1 | 2003 | 3062 |
| 2 | 7022 | 3059 |
| 0 | 8007 | 2863 |
| 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) |
(+ (* n0_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 (+ (* 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)))))))))))))) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(* normAngle (- 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)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (/ (* n0_i (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)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/ 1 (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(sin (* normAngle (- 1 u))) |
(/ (* n1_i (sin (* normAngle 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)))))) |
(+ 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) |
(* 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)))))))))))) |
(+ (* -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)))))))))) |
(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))))))))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(/ (+ n0_i (* -1 (* n0_i u))) 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 (* 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))))) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle 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))) |
(* n1_i (sin (* normAngle u))) |
(* 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)) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (* 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)))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(* u (- (/ n0_i u) n0_i)) |
(+ (* n1_i u) (* u (- (/ n0_i u) n0_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 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))) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 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 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (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 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (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 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.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 (-.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 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))) (+ (* -1/5040 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/120 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))))))) (+ (* -1/6 (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))) (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u)))))))) (* -1/6 (+ (* n0_i (- 1 u)) (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.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 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle)))) (*.f32 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 (+ (* n0_i (- 1 u)) (* n1_i u))) |
(*.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))))))))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle)) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) (*.f32 (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 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 (*.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 (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 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) normAngle) |
(* n0_i (* normAngle (- 1 u))) |
(*.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32)) normAngle) normAngle (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) normAngle) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(fma.f32 (*.f32 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 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) normAngle) normAngle (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))))) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u)) |
(*.f32 (-.f32 (fma.f32 (*.f32 (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) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) u) n1_i (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 #s(literal 1/120 binary32) u) n1_i (*.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (/ (* 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)) |
(/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(/ 1 (sin normAngle)) |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(sin (* normAngle (- 1 u))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 (/.f32 normAngle (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 (*.f32 #s(literal -1/2 binary32) n0_i) u) (*.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 (/.f32 normAngle (sin.f32 normAngle)) n1_i (*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 n0_i (cos.f32 normAngle)) (pow.f32 normAngle #s(literal 3 binary32))) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) u (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 u #s(literal 1/6 binary32)) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (/.f32 n0_i (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) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) normAngle) normAngle (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 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) |
(* n0_i (sin normAngle)) |
(*.f32 n0_i (sin.f32 normAngle)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle)))) |
(fma.f32 (-.f32 (*.f32 n1_i normAngle) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 n0_i (sin.f32 normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.f32 n1_i normAngle)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 n0_i (sin.f32 normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle)))))))))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (sin.f32 normAngle)) (*.f32 normAngle normAngle) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) n1_i (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n0_i)) (cos.f32 normAngle))) u)) u (*.f32 n1_i normAngle)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) u (*.f32 n0_i (sin.f32 normAngle))) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 n0_i (sin.f32 normAngle)) (*.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 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 n0_i (sin.f32 normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 u (*.f32 #s(literal 1/6 binary32) n0_i)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (cos.f32 normAngle)) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) normAngle))) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 n0_i (sin.f32 normAngle))) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 u #s(literal -1/2 binary32)) (*.f32 (*.f32 (sin.f32 normAngle) 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)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 1/120 binary32) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (*.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) u) u) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) u) |
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 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(*.f32 (neg.f32 (-.f32 (neg.f32 (-.f32 n1_i n0_i)) (/.f32 n0_i u))) u) |
(/ (+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle)) |
(+ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* n1_i (sin (* normAngle u)))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle 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) |
(* n1_i (sin (* normAngle u))) |
(*.f32 (sin.f32 (*.f32 normAngle u)) 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 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (*.f32 n0_i (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 (-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u) n0_i) |
(* -1 (* n0_i u)) |
(*.f32 (neg.f32 n0_i) u) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i) |
(* 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) |
(* n0_i (+ (sin (* normAngle (- 1 u))) (/ (* n1_i (sin (* normAngle u))) n0_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (*.f32 n0_i (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 (neg.f32 (-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u))) n0_i) |
(* -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 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 u))) |
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u)))) |
(*.f32 (neg.f32 n0_i) (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (sin (* normAngle (- 1 u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i n0_i) (sin.f32 (*.f32 normAngle (-.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) |
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))) |
(*.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u))) n1_i) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (neg.f32 (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u)) 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 (neg.f32 (fma.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u u))) n1_i) |
(* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1))) |
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) n1_i))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i n1_i) (sin.f32 (*.f32 normAngle u))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 351 |
| 0 | 81 | 331 |
| 1 | 276 | 331 |
| 2 | 1845 | 331 |
| 0 | 8371 | 323 |
| 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 #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))))) |
#s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) 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 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(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 n0_i u) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.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 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.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 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.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 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (+.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 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 (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 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (+.f32 (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)))) |
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(-.f32 (/.f32 (*.f32 n1_i n1_i) (-.f32 n1_i (neg.f32 n0_i))) (/.f32 (*.f32 n0_i n0_i) (-.f32 n1_i (neg.f32 n0_i)))) |
(-.f32 (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i))) |
(-.f32 (/.f32 (pow.f32 n1_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(-.f32 n1_i n0_i) |
(fma.f32 #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) |
(+.f32 n1_i (neg.f32 n0_i)) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(*.f32 u (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (+.f32 (pow.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32))) (fma.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 n1_i u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) #s(literal 3 binary32)) (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32))) (fma.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (*.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 n1_i u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) (*.f32 (*.f32 n1_i u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 3 binary32)) (pow.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) (*.f32 (*.f32 n1_i u) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) u)) (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (neg.f32 (*.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) u)) (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (*.f32 u (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)))) (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (neg.f32 (*.f32 u (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))))) (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) u) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (*.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) u) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) |
(/.f32 (*.f32 u (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i))) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) |
(/.f32 (*.f32 u (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32)))) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) |
(fma.f32 (-.f32 (/.f32 n0_i u) n0_i) u (*.f32 n1_i u)) |
(fma.f32 n1_i u (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(fma.f32 n1_i u (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) |
(fma.f32 u (-.f32 (/.f32 n0_i u) n0_i) (*.f32 n1_i u)) |
(fma.f32 u n1_i (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(fma.f32 u n1_i (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) |
(+.f32 (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) (*.f32 n1_i u)) |
(+.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (*.f32 n1_i u)) |
(+.f32 (*.f32 n1_i u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
(+.f32 (*.f32 n1_i u) (*.f32 u (-.f32 (/.f32 n0_i u) n0_i))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) |
(*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(*.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (+.f32 n1_i (/.f32 n0_i u)) #s(literal 3 binary32)) (pow.f32 (neg.f32 n0_i) #s(literal 3 binary32))) (fma.f32 (+.f32 n1_i (/.f32 n0_i u)) (+.f32 n1_i (/.f32 n0_i u)) (-.f32 (*.f32 n0_i n0_i) (*.f32 (+.f32 n1_i (/.f32 n0_i u)) (neg.f32 n0_i))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (neg.f32 (-.f32 n0_i n1_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (neg.f32 (-.f32 n0_i n1_i)) (neg.f32 (-.f32 n0_i n1_i))) (*.f32 (/.f32 n0_i u) (neg.f32 (-.f32 n0_i n1_i)))))) |
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (-.f32 n1_i n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (*.f32 (/.f32 n0_i u) (-.f32 n1_i n0_i))))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)))) (neg.f32 (+.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)))) |
(/.f32 (neg.f32 (-.f32 (*.f32 n1_i n1_i) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))) (neg.f32 (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (-.f32 n0_i n1_i) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (+.f32 (pow.f32 (-.f32 n0_i n1_i) #s(literal 2 binary32)) (*.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)))) (neg.f32 (neg.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))) |
(/.f32 (neg.f32 (neg.f32 (+.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 n1_i (-.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)) (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)))))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) (*.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (*.f32 n1_i n1_i))) (*.f32 (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i))) |
(/.f32 (-.f32 (*.f32 (neg.f32 (neg.f32 n0_i)) (+.f32 n1_i n0_i)) (*.f32 (neg.f32 (neg.f32 u)) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (neg.f32 (neg.f32 u)) (+.f32 n1_i n0_i))) |
(/.f32 (-.f32 (*.f32 (neg.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 (neg.f32 u)) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (neg.f32 (neg.f32 u)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i n0_i))))) |
(/.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))))) |
(/.f32 (-.f32 (*.f32 (neg.f32 n0_i) (+.f32 n1_i n0_i)) (*.f32 (neg.f32 u) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (neg.f32 u) (+.f32 n1_i n0_i))) |
(/.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))))) |
(/.f32 (-.f32 (*.f32 #s(literal -1 binary32) (+.f32 n1_i n0_i)) (*.f32 (neg.f32 (/.f32 u n0_i)) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (neg.f32 (/.f32 u n0_i)) (+.f32 n1_i n0_i))) |
(/.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))))) |
(/.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))) |
(/.f32 (-.f32 (*.f32 n0_i (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))))) |
(/.f32 (-.f32 (*.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i n1_i)))) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (+.f32 n1_i n0_i))) |
(/.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 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (/.f32 (/.f32 u n0_i) #s(literal 1 binary32)) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i 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 #s(literal 1 binary32) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i n0_i)))) (*.f32 (/.f32 u n0_i) (-.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (*.f32 (/.f32 u n0_i) (fma.f32 n0_i n0_i (fma.f32 n1_i n1_i (*.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (-.f32 n1_i (neg.f32 n0_i)) (*.f32 (neg.f32 (neg.f32 u)) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (*.f32 (neg.f32 (neg.f32 u)) (-.f32 n1_i (neg.f32 n0_i)))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))) (*.f32 (neg.f32 (neg.f32 u)) (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (*.f32 (neg.f32 (neg.f32 u)) (fma.f32 n1_i n1_i (-.f32 (*.f32 n0_i n0_i) (*.f32 n1_i (neg.f32 n0_i)))))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (+.f32 n1_i n0_i)) (*.f32 (neg.f32 (neg.f32 u)) (neg.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))))) (*.f32 (neg.f32 (neg.f32 u)) (neg.f32 (+.f32 n1_i n0_i)))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))) (*.f32 (neg.f32 (neg.f32 u)) (neg.f32 (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32)))))) (*.f32 (neg.f32 (neg.f32 u)) (neg.f32 (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i)))))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (+.f32 n1_i n0_i) (*.f32 (neg.f32 (neg.f32 u)) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (*.f32 (neg.f32 (neg.f32 u)) (+.f32 n1_i n0_i))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))) (*.f32 (neg.f32 (neg.f32 u)) (-.f32 (pow.f32 n1_i #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (*.f32 (neg.f32 (neg.f32 u)) (fma.f32 n1_i n1_i (*.f32 n0_i (+.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (+.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) (*.f32 (neg.f32 (neg.f32 u)) #s(literal 1 binary32))) (*.f32 (neg.f32 (neg.f32 u)) (/.f32 (+.f32 n1_i n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))))) |
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (/.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 (neg.f32 (neg.f32 u)) #s(literal 1 binary32))) (*.f32 (neg.f32 (neg.f32 u)) (/.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 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) |
(+.f32 (*.f32 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)))) |
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 (neg.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 #s(literal -1 binary32)) (/.f32 (neg.f32 (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)) #s(literal -1 binary32)) (/.f32 (neg.f32 n0_i) (sin.f32 normAngle))) |
(*.f32 (/.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) |
(*.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (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 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 1 binary32)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 n0_i (/.f32 (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 n0_i #s(literal 1 binary32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) |
(*.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 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal -1 binary32))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (neg.f32 (neg.f32 (neg.f32 (sin.f32 normAngle))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (neg.f32 (neg.f32 (sin.f32 normAngle)))) |
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) #s(literal 1 binary32)) (sin.f32 normAngle)) |
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.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) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) |
(/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (sin.f32 normAngle)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))) |
(/.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)))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (neg.f32 (sin.f32 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 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))) |
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (neg.f32 (sin.f32 normAngle)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
(*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(fma.f32 (sin.f32 (*.f32 #s(literal 1 binary32) normAngle)) (cos.f32 (*.f32 (neg.f32 u) normAngle)) (*.f32 (cos.f32 (*.f32 #s(literal 1 binary32) normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) |
(fma.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle (neg.f32 u))) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle (neg.f32 u))))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(+.f32 (*.f32 (sin.f32 (*.f32 #s(literal 1 binary32) normAngle)) (cos.f32 (*.f32 (neg.f32 u) normAngle))) (*.f32 (cos.f32 (*.f32 #s(literal 1 binary32) normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) |
(+.f32 (*.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle (neg.f32 u)))) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle (neg.f32 u))))) |
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
(*.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #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 n0_i u) #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 n0_i u) #s(literal 2 binary32))))) |
(/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 (neg.f32 n0_i) (/.f32 n0_i u))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)))) (neg.f32 (neg.f32 (+.f32 (/.f32 n0_i u) n0_i)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (neg.f32 (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 (*.f32 (pow.f32 (/.f32 n0_i u) #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 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) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) normAngle) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 #s(literal 1 binary32) normAngle) (-.f32 (*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle)) (*.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle))))) |
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 normAngle (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(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 normAngle (*.f32 normAngle (neg.f32 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (+.f32 (pow.f32 (*.f32 #s(literal 1 binary32) normAngle) #s(literal 3 binary32)) (pow.f32 (*.f32 (neg.f32 u) normAngle) #s(literal 3 binary32))) (fma.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 #s(literal 1 binary32) normAngle) (-.f32 (*.f32 (*.f32 (neg.f32 u) normAngle) (*.f32 (neg.f32 u) normAngle)) (*.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle))))) |
(/.f32 (+.f32 (pow.f32 normAngle #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 normAngle normAngle (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 normAngle (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(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 normAngle (*.f32 normAngle (neg.f32 u))) |
Compiled 35 642 to 3 224 computations (91% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 650 | 23 | 673 |
| Fresh | 13 | 10 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 0 | 1 |
| Total | 665 | 37 | 702 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.6% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| ▶ | 82.4% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
| 83.5% | (+.f32 (/.f32 (*.f32 n0_i #s(approx (sin (* normAngle (- 1 u))) (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| ▶ | 98.9% | (+.f32 (/.f32 n0_i (/.f32 (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)) |
| 83.0% | (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 96.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.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 normAngle u)))) n1_i)) | |
| 97.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 29.4% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| ✓ | 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)) |
| 96.7% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u))) | |
| 97.3% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) | |
| 98.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) | |
| 83.0% | (+.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)) | |
| 74.7% | (*.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)))))) | |
| ▶ | 40.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
| 46.4% | #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)) | |
| 40.6% | #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))) | |
| 40.6% | #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))) | |
| 56.8% | #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)))) | |
| 46.4% | #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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| 82.4% | #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)))) | |
| 33.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i)))) | |
| 40.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) | |
| 35.6% | #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 (fma.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i) (*.f32 (/.f32 u n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) | |
| 86.7% | #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 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) u))) | |
| 25.6% | #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 n1_i n1_i) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (*.f32 (+.f32 n1_i n0_i) (+.f32 n1_i n0_i))) u))) | |
| 89.0% | #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 #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))) | |
| 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 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u))) | |
| ✓ | 38.7% | #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))) |
| ✓ | 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 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
| 97.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u))) | |
| 96.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ 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))) | |
| ▶ | 7.8% | #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 (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
| ▶ | 56.6% | #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)))) |
| 56.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #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)))) | |
| 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #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 3 066 to 1 858 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 0 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 0 | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) | |
| cost-diff | 1 | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) | |
| cost-diff | 1 | (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 2 | (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 2 | (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) | |
| cost-diff | 6 | (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) | |
| 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 | 2 | (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) | |
| cost-diff | 0 | (*.f32 (neg.f32 n0_i) u) | |
| cost-diff | 0 | #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 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 (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) | |
| cost-diff | 0 | (sin.f32 normAngle) | |
| cost-diff | 0 | (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 0 | (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) | |
| cost-diff | 1 | (+.f32 (/.f32 n0_i (/.f32 (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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 541 |
| 0 | 93 | 511 |
| 1 | 166 | 489 |
| 2 | 290 | 477 |
| 3 | 583 | 471 |
| 4 | 1596 | 455 |
| 5 | 5867 | 455 |
| 0 | 8328 | 438 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (/.f32 n0_i (/.f32 (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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
n0_i |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 normAngle) |
normAngle |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(*.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)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)) |
(*.f32 (neg.f32 n0_i) u) |
(neg.f32 n0_i) |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
(fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#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) |
(neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 u u) |
n0_i |
(*.f32 n1_i u) |
n1_i |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
n0_i |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
normAngle |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(sin.f32 normAngle) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
| Outputs |
|---|
(+.f32 (/.f32 n0_i (/.f32 (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)) |
(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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
n0_i |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(sin.f32 normAngle) |
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) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(*.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)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)) |
(*.f32 (neg.f32 n0_i) u) |
(neg.f32 n0_i) |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 u (-.f32 u #s(literal 1 binary32))) n0_i n1_i) u (/.f32 n0_i (-.f32 u #s(literal -1 binary32))))) |
(fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) |
(fma.f32 (fma.f32 (/.f32 u (-.f32 u #s(literal 1 binary32))) n0_i n1_i) u (/.f32 n0_i (-.f32 u #s(literal -1 binary32)))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 (/.f32 u (-.f32 u #s(literal 1 binary32))) u (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
#s(literal 1 binary32) |
(-.f32 #s(literal 1 binary32) u) |
#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) |
(neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (/.f32 u (-.f32 u #s(literal 1 binary32))) u) |
(/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (/.f32 u (-.f32 #s(literal 1 binary32) u)) u) |
(*.f32 u u) |
n0_i |
(*.f32 n1_i u) |
n1_i |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) |
n0_i |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
normAngle |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
(sin.f32 normAngle) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.18359375 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.7154561854191144 | #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) | |
| accuracy | 11.02935052113763 | (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) | |
| accuracy | 0.40234375 | (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) | |
| accuracy | 2.3333449335871275 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) | |
| accuracy | 19.19227460738628 | (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) | |
| accuracy | 30.584429896694303 | (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.25390625 | (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) | |
| accuracy | 0.2926050413890958 | (-.f32 (/.f32 n0_i u) n0_i) | |
| accuracy | 0.4780994210627698 | #s(approx (+ (* (* (sin (* (- 1 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 | 13.718262068988508 | #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) | |
| accuracy | 0.0 | (neg.f32 n0_i) | |
| accuracy | 0.4780994210627698 | #s(approx (+ (* (* (sin (* (- 1 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 n0_i) u)))) | |
| accuracy | 16.560686115395953 | #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)) | |
| accuracy | 19.388784388189872 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u))) | |
| accuracy | 0.1015625 | (+.f32 (/.f32 n0_i (/.f32 (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)) | |
| accuracy | 0.18359375 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.20627873016428752 | (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 0.29296875 | (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
| 126.0ms | 256× | 0 | valid |
Compiled 399 to 52 computations (87% saved)
ival-mult: 35.0ms (32.6% of total)ival-add: 28.0ms (26.1% of total)ival-sub: 20.0ms (18.6% of total)ival-div: 13.0ms (12.1% of total)ival-sin: 8.0ms (7.4% of total)ival-neg: 2.0ms (1.9% 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 n0_i (/.f32 (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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 normAngle) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)) |
(*.f32 (neg.f32 n0_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 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) |
(neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 n0_i (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)) |
(neg.f32 n0_i) |
(-.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)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* 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 (- 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))) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(* normAngle (- 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)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(sin normAngle) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(sin (* normAngle (- 1 u))) |
(/ (* n1_i (sin (* normAngle 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)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
1 |
(+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(+ 1 (* u (- (* -1 (* 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)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (- n1_i n0_i)) |
(* -1 (* n0_i u)) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (* u (+ n1_i (+ (* -2 (* n0_i (pow u 2))) (* -1 n0_i))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow u 2) (+ (* -2 n0_i) (* -2 (* n0_i (pow u 2))))))))) |
(+ 1 (* -1 u)) |
(+ 1 (* u (- (* -2 (pow u 2)) 1))) |
(+ 1 (* u (- (* (pow u 2) (- (* -2 (pow u 2)) 2)) 1))) |
(* -1 (pow u 2)) |
(* (pow u 2) (- (* -1 u) 1)) |
(* (pow u 2) (- (* u (- (* -1 u) 1)) 1)) |
(* (pow u 2) (- (* u (- (* u (- (* -1 u) 1)) 1)) 1)) |
(* n0_i (sin normAngle)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(+ (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) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(+ 1 (* u (- u 1))) |
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n0_i n1_i)) |
(* u (+ n0_i (+ n1_i (/ n0_i u)))) |
(* u (+ n0_i (+ n1_i (+ (* 2 (/ n0_i (pow u 2))) (/ n0_i u))))) |
(* u (+ n0_i (+ n1_i (+ (* 2 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i (pow u 4))) (/ n0_i u)))))) |
u |
(* u (+ 1 (/ 1 u))) |
(* u (+ 1 (+ (/ 1 u) (/ 2 (pow u 2))))) |
(* u (+ 1 (+ (/ 1 u) (+ (* 2 (/ 1 (pow u 4))) (/ 2 (pow u 2)))))) |
(* u (+ 1 (+ (/ 1 u) (/ 1 (pow u 2))))) |
(* u (+ 1 (+ (/ 1 u) (+ (/ 1 (pow u 2)) (/ 1 (pow u 3)))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(/ 1 u) |
(/ (- 1 (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) 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) (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 (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 n0_i) (* -1 n1_i)))) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* 2 (/ n0_i u))) u)))))) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 (/ (+ (* -2 n0_i) (* -2 (/ n0_i (pow u 2)))) u))) u)))))) |
(* -1 (* u (- (* -1 (/ (+ 1 (* 2 (/ 1 u))) u)) 1))) |
(* -1 (* u (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 u)) (/ 2 (pow u 3)))) u)) 1))) |
(* -1 (* u (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1))) |
(* -1 (* u (- (* -1 (/ (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))) u)) 1))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (/ (- (/ 1 u) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u)) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) (* n1_i u)) |
(* 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)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) |
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (- 1 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 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)))))) |
(* -1 (* n0_i (+ (* -1 (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- 1 (/ 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 (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) n1_i))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | u | @ | -inf | ((+ (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (sin 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 n0_i) u) (* (neg n0_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 u) (- 1 u)) (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) (neg (/ (* u u) (- 1 u))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (neg n0_i) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ -1 (- -1 u)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 4.0ms | n0_i | @ | -inf | ((+ (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (sin 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 n0_i) u) (* (neg n0_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 u) (- 1 u)) (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) (neg (/ (* u u) (- 1 u))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (neg n0_i) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ -1 (- -1 u)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 4.0ms | u | @ | inf | ((+ (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (sin 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 n0_i) u) (* (neg n0_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 u) (- 1 u)) (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) (neg (/ (* u u) (- 1 u))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (neg n0_i) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ -1 (- -1 u)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 4.0ms | n0_i | @ | 0 | ((+ (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (sin 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 n0_i) u) (* (neg n0_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 u) (- 1 u)) (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) (neg (/ (* u u) (- 1 u))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (neg n0_i) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ -1 (- -1 u)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 4.0ms | n0_i | @ | inf | ((+ (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ n0_i (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (sin 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 n0_i) u) (* (neg n0_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 u) (- 1 u)) (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) (neg (/ (* u u) (- 1 u))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (* n0_i (sin (* normAngle (- 1 u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (neg n0_i) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ -1 (- -1 u)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 676 | 3057 |
| 1 | 2185 | 2881 |
| 2 | 7435 | 2871 |
| 0 | 8251 | 2710 |
| 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 (- 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))) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(* n0_i (* normAngle (- 1 u))) |
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5)))))))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(* normAngle (- 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)) |
(* n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin normAngle) (sin (* normAngle (- 1 u)))) |
(sin normAngle) |
(* n0_i (sin (* normAngle (- 1 u)))) |
(sin (* normAngle (- 1 u))) |
(/ (* n1_i (sin (* normAngle 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)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
1 |
(+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) |
(+ 1 (* u (- (* -1 (* 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)))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* u (- n1_i n0_i)) |
(* -1 (* n0_i u)) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* u (- n1_i n0_i))) |
(+ n0_i (* u (+ n1_i (+ (* -2 (* n0_i (pow u 2))) (* -1 n0_i))))) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow u 2) (+ (* -2 n0_i) (* -2 (* n0_i (pow u 2))))))))) |
(+ 1 (* -1 u)) |
(+ 1 (* u (- (* -2 (pow u 2)) 1))) |
(+ 1 (* u (- (* (pow u 2) (- (* -2 (pow u 2)) 2)) 1))) |
(* -1 (pow u 2)) |
(* (pow u 2) (- (* -1 u) 1)) |
(* (pow u 2) (- (* u (- (* -1 u) 1)) 1)) |
(* (pow u 2) (- (* u (- (* u (- (* -1 u) 1)) 1)) 1)) |
(* n0_i (sin normAngle)) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(+ (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) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(+ 1 (* u (- u 1))) |
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1))) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n0_i n1_i)) |
(* u (+ n0_i (+ n1_i (/ n0_i u)))) |
(* u (+ n0_i (+ n1_i (+ (* 2 (/ n0_i (pow u 2))) (/ n0_i u))))) |
(* u (+ n0_i (+ n1_i (+ (* 2 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i (pow u 4))) (/ n0_i u)))))) |
u |
(* u (+ 1 (/ 1 u))) |
(* u (+ 1 (+ (/ 1 u) (/ 2 (pow u 2))))) |
(* u (+ 1 (+ (/ 1 u) (+ (* 2 (/ 1 (pow u 4))) (/ 2 (pow u 2)))))) |
(* u (+ 1 (+ (/ 1 u) (/ 1 (pow u 2))))) |
(* u (+ 1 (+ (/ 1 u) (+ (/ 1 (pow u 2)) (/ 1 (pow u 3)))))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(/ 1 u) |
(/ (- 1 (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) 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) (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 (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ (* -1 n0_i) (* -1 n1_i)))) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* 2 (/ n0_i u))) u)))))) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 (/ (+ (* -2 n0_i) (* -2 (/ n0_i (pow u 2)))) u))) u)))))) |
(* -1 (* u (- (* -1 (/ (+ 1 (* 2 (/ 1 u))) u)) 1))) |
(* -1 (* u (- (* -1 (/ (+ 1 (+ (* 2 (/ 1 u)) (/ 2 (pow u 3)))) u)) 1))) |
(* -1 (* u (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1))) |
(* -1 (* u (- (* -1 (/ (+ 1 (+ (/ 1 u) (/ 1 (pow u 2)))) u)) 1))) |
(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
(sin (* normAngle (+ 1 (* -1 u)))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(* -1 (/ (- (/ 1 u) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u)) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) (* n1_i u)) |
(* 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)) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) |
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (- 1 u)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 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)))))) |
(* -1 (* n0_i (+ (* -1 (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (- 1 (/ 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 (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) n1_i))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) n1_i))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 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 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (-.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 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal 1/120 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (*.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 (-.f32 #s(literal 1 binary32) u) n0_i)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(/ 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 #s(literal -1/6 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 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))) |
normAngle |
(* normAngle (+ 1 (* -1/6 (pow normAngle 2)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) |
(* n0_i (* 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 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i) #s(literal -1/6 binary32))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5))))))))) |
(fma.f32 (*.f32 normAngle n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (*.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle))) (pow.f32 normAngle #s(literal 3 binary32)))) |
(* 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) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/5040 binary32) (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle) (*.f32 n1_i u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.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) (sin (* normAngle (- 1 u)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(sin normAngle) |
(sin.f32 normAngle) |
(* n0_i (sin (* normAngle (- 1 u)))) |
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(sin (* normAngle (- 1 u))) |
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) u) (*.f32 normAngle normAngle) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.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 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) u) 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 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (*.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
1 |
#s(literal 1 binary32) |
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(+ 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)))))) |
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(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (- n1_i n0_i)) |
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(* -1 (* n0_i u)) |
(*.f32 (neg.f32 u) n0_i) |
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(-.f32 n0_i (*.f32 u n0_i)) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -2 (* n0_i (pow u 2))) (* -1 n0_i))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 u u) n0_i) #s(literal -2 binary32) (-.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow u 2) (+ (* -2 n0_i) (* -2 (* n0_i (pow u 2))))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -2 binary32)) (fma.f32 (*.f32 u u) n0_i n0_i) (-.f32 n1_i n0_i)) u n0_i) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (* u (- (* -2 (pow u 2)) 1))) |
(fma.f32 (fma.f32 (*.f32 u u) #s(literal -2 binary32) #s(literal -1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* (pow u 2) (- (* -2 (pow u 2)) 2)) 1))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 u u) #s(literal -2 binary32) #s(literal -2 binary32)) (*.f32 u u) #s(literal -1 binary32)) u #s(literal 1 binary32)) |
(* -1 (pow u 2)) |
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(* (pow u 2) (- (* -1 u) 1)) |
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(* (pow u 2) (- (* u (- (* -1 u) 1)) 1)) |
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(* (pow u 2) (- (* u (- (* u (- (* -1 u) 1)) 1)) 1)) |
(*.f32 (*.f32 (fma.f32 (fma.f32 (-.f32 #s(literal -1 binary32) u) u #s(literal -1 binary32)) u #s(literal -1 binary32)) u) u) |
(* n0_i (sin normAngle)) |
(*.f32 (sin.f32 normAngle) n0_i) |
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle))) |
(-.f32 (*.f32 (sin.f32 normAngle) n0_i) (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle)))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) normAngle) normAngle) (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (*.f32 (cos.f32 normAngle) u) (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) normAngle))) u (*.f32 (*.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i)) |
(+ (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 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 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) |
(/.f32 n0_i u) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(/.f32 (-.f32 n0_i (*.f32 u n0_i)) u) |
(+ 1 (* u (- u 1))) |
(fma.f32 (-.f32 u #s(literal 1 binary32)) u #s(literal 1 binary32)) |
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1))) |
(fma.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) u #s(literal -1 binary32)) u #s(literal 1 binary32)) |
(/ (* n1_i (* normAngle u)) (sin normAngle)) |
(*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle))) |
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (*.f32 (*.f32 u u) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (*.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (sin.f32 normAngle)) (*.f32 u u))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) n1_i) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 7 binary32)) u) u) (sin.f32 normAngle)) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))) |
(* 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) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(* u (+ n0_i n1_i)) |
(*.f32 (+.f32 n1_i n0_i) u) |
(* u (+ n0_i (+ n1_i (/ n0_i u)))) |
(*.f32 (+.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u) |
(* u (+ n0_i (+ n1_i (+ (* 2 (/ n0_i (pow u 2))) (/ n0_i u))))) |
(*.f32 (+.f32 (fma.f32 (/.f32 (/.f32 n0_i u) u) #s(literal 2 binary32) (+.f32 (/.f32 n0_i u) n1_i)) n0_i) u) |
(* u (+ n0_i (+ n1_i (+ (* 2 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i (pow u 4))) (/ n0_i u)))))) |
(*.f32 (+.f32 (fma.f32 #s(literal 2 binary32) (+.f32 (/.f32 (/.f32 n0_i u) u) (/.f32 n0_i (pow.f32 u #s(literal 4 binary32)))) (+.f32 (/.f32 n0_i u) n1_i)) n0_i) u) |
u |
(* u (+ 1 (/ 1 u))) |
(+.f32 #s(literal 1 binary32) u) |
(* u (+ 1 (+ (/ 1 u) (/ 2 (pow u 2))))) |
(+.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (*.f32 u u)) u #s(literal 1 binary32)) u) |
(* u (+ 1 (+ (/ 1 u) (+ (* 2 (/ 1 (pow u 4))) (/ 2 (pow u 2)))))) |
(+.f32 (fma.f32 (+.f32 (/.f32 #s(literal 2 binary32) (pow.f32 u #s(literal 4 binary32))) (/.f32 #s(literal 2 binary32) (*.f32 u u))) u #s(literal 1 binary32)) u) |
(* u (+ 1 (+ (/ 1 u) (/ 1 (pow u 2))))) |
(+.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) u) u) u #s(literal 1 binary32)) u) |
(* u (+ 1 (+ (/ 1 u) (+ (/ 1 (pow u 2)) (/ 1 (pow u 3)))))) |
(+.f32 (fma.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) u) u)) u #s(literal 1 binary32)) u) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 normAngle) u) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(* -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 u)) u) |
(/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) #s(literal 1 binary32)) u) |
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) u) |
(/.f32 (+.f32 (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) #s(literal 1 binary32)) u) #s(literal 1 binary32)) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 u normAngle)) (/.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) (sin (* normAngle (+ 1 (* -1 u))))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) |
(* -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 n0_i (+.f32 (/.f32 n0_i u) n1_i)) (neg.f32 u)) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(*.f32 (-.f32 n0_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)) |
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(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* 2 (/ n0_i u))) u)))))) |
(*.f32 (-.f32 (-.f32 (/.f32 (fma.f32 #s(literal 2 binary32) (/.f32 n0_i u) n0_i) (neg.f32 u)) n1_i) n0_i) (neg.f32 u)) |
(* -1 (* u (+ (* -1 n0_i) (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* -1 (/ (+ (* -2 n0_i) (* -2 (/ n0_i (pow u 2)))) u))) u)))))) |
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(* -1 (* u (- (* -1 (/ (+ 1 (* 2 (/ 1 u))) u)) 1))) |
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(* -1 (* u (- (* -1 (/ (+ 1 (/ 1 u)) u)) 1))) |
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(* n0_i (sin (* normAngle (+ 1 (* -1 u))))) |
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(sin (* normAngle (+ 1 (* -1 u)))) |
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(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 normAngle (/.f32 normAngle u)) (neg.f32 u)) |
(* -1 (/ (- (/ 1 u) 1) u)) |
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(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) |
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(/.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) #s(literal 1 binary32)) u)) (neg.f32 u)) |
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(* n0_i (* u (- (/ 1 u) 1))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) (* n1_i u)) |
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 u (/.f32 u (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) |
(* 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 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(* n0_i (+ (* -1 u) (/ (* n1_i u) n0_i))) |
(*.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i) |
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i))) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i) |
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 u (/.f32 u (-.f32 #s(literal 1 binary32) u)))) n0_i) |
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (- 1 u)))) |
(*.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 u (/.f32 u (-.f32 #s(literal 1 binary32) u))))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (-.f32 u (/.f32 (*.f32 n1_i u) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(*.f32 (*.f32 (neg.f32 u) n0_i) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u)))))) |
(*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)) (neg.f32 n0_i)) |
(* -1 (* n0_i (+ (* -1 (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) (* -1 (/ (* n1_i u) n0_i))))) |
(*.f32 (neg.f32 (fma.f32 n1_i (/.f32 u n0_i) (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 u (/.f32 u (-.f32 #s(literal 1 binary32) u)))))) (neg.f32 n0_i)) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
(* 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) n0_i) n1_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 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 u (/.f32 (*.f32 u n0_i) n1_i)) n1_i) |
(* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i))) |
(*.f32 (fma.f32 (-.f32 (/.f32 n0_i u) n0_i) (/.f32 u n1_i) u) n1_i) |
(* n1_i (+ u (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) n1_i))) |
(*.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 u (/.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i n1_i) u) 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 u normAngle)) (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 u n0_i) n1_i) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (-.f32 (/.f32 n0_i u) n0_i) (/.f32 u n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (- 1 u)))) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) (*.f32 u (/.f32 u (-.f32 #s(literal 1 binary32) u)))) (/.f32 n0_i n1_i) u)) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 63 | 434 |
| 0 | 93 | 386 |
| 1 | 352 | 386 |
| 2 | 2816 | 386 |
| 0 | 8467 | 377 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (/.f32 n0_i (/.f32 (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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(sin.f32 normAngle) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u))) |
#s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)) |
(*.f32 (neg.f32 n0_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 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) |
(fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) |
(neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(*.f32 n0_i (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)) |
(neg.f32 n0_i) |
(-.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)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
| Outputs |
|---|
(*.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) (-.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))))) |
(*.f32 (+.f32 (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 (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 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))) |
(/.f32 (neg.f32 (neg.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))))) (neg.f32 (neg.f32 (-.f32 (*.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 (neg.f32 (neg.f32 (+.f32 (pow.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (/.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 (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))))) |
(/.f32 (neg.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)))) (neg.f32 (-.f32 (*.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 (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 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -2 binary32)) (*.f32 (*.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 (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 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #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 (/.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 (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 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))) |
(/.f32 (+.f32 (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 (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 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal -2 binary32)) (*.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))))) |
(/.f32 (+.f32 (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))) (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 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 (*.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 (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)))))) |
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(/.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 (/.f32 n0_i u) #s(literal 0 binary32)) 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 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) |
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) u) (neg.f32 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 #s(literal -1 binary32) (/.f32 n0_i (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 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (neg.f32 u)) (neg.f32 n0_i)) |
(fma.f32 #s(literal 1 binary32) (/.f32 n0_i u) (neg.f32 n0_i)) |
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) |
(fma.f32 n0_i #s(literal -1 binary32) (/.f32 n0_i u)) |
(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 (/.f32 n0_i u) (neg.f32 n0_i)) |
(+.f32 (neg.f32 n0_i) (/.f32 n0_i u)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (*.f32 (/.f32 u (-.f32 #s(literal 1 binary32) u)) u)) n0_i (*.f32 n1_i u))) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))))) |
(*.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -1 binary32) u))) |
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))))) |
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))))) |
(*.f32 (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))))) |
(*.f32 (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(*.f32 (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(*.f32 (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 #s(literal -1 binary32) u)) |
(*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)))) (fma.f32 u (+.f32 #s(literal -1 binary32) u) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) |
(*.f32 (-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u))) |
(*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u)) (-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u))) |
(*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.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 (/.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 (-.f32 #s(literal 1 binary32) u) (/.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 #s(literal -1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (neg.f32 (-.f32 #s(literal -1 binary32) u))) |
(/.f32 (neg.f32 (neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)))) (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) u)) |
(/.f32 (neg.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u))) (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 (*.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)))) |
(/.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)) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u)))) |
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (-.f32 #s(literal -1 binary32) u))) |
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal -1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal -1 binary32) u))) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (neg.f32 (-.f32 #s(literal -1 binary32) u)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (*.f32 (-.f32 #s(literal -1 binary32) u) #s(literal -1 binary32))) #s(literal -1 binary32))) |
(exp.f32 (*.f32 (log1p.f32 (neg.f32 (neg.f32 u))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) u))) |
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)) |
Compiled 43 076 to 3 523 computations (91.8% saved)
35 alts after pruning (29 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 809 | 9 | 818 |
| Fresh | 8 | 20 | 28 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 820 | 35 | 855 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 83.6% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| ✓ | 82.4% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
| 82.4% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 #s(approx (* normAngle (- 1 u)) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) | |
| 82.4% | (+.f32 (/.f32 (*.f32 n0_i #s(approx (sin (* normAngle (- 1 u))) (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) | |
| 98.6% | (+.f32 (/.f32 n0_i #s(approx (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (/.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)) | |
| 96.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.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 normAngle u)))) n1_i)) | |
| 29.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.8% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| ✓ | 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)) |
| 97.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u))) | |
| 97.3% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) | |
| 98.0% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) | |
| 83.0% | (+.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)) | |
| 74.7% | (*.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)))))) | |
| ✓ | 40.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
| 46.4% | #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)) | |
| 40.6% | #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))) | |
| 40.6% | #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))) | |
| 46.4% | #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)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) | |
| 82.4% | #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)))) | |
| 33.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i)))) | |
| 40.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) | |
| 35.6% | #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 (fma.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i) (*.f32 (/.f32 u n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (*.f32 (/.f32 u n0_i) (+.f32 n1_i n0_i))) u))) | |
| 25.6% | #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 n1_i n1_i) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (*.f32 (+.f32 n1_i n0_i) (+.f32 n1_i n0_i))) u))) | |
| 89.0% | #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 #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))) | |
| 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 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u))) | |
| ✓ | 97.7% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) |
| 96.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ 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))) | |
| ✓ | 7.8% | #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 (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
| 51.2% | #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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (/.f32 (*.f32 (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) u) (+.f32 (/.f32 n0_i u) n0_i))))) | |
| 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)) (neg.f32 n0_i))))) | |
| 56.9% | #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) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) | |
| 56.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) | |
| 80.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u))) | |
| 44.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 n1_i n0_i) u))) |
Compiled 4 887 to 1 403 computations (71.3% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 (+.f32 (/.f32 n0_i u) 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)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal 1 binary32)) n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)) (neg.f32 n0_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (*.f32 (+.f32 n1_i n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i) (*.f32 (/.f32 u n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i 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))) |
(+.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 (* normAngle (- 1 u)))) (/.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)) |
#s(approx (+ (* (* (sin (* (- 1 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 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) u) (+.f32 (/.f32 n0_i u) n0_i))))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (-.f32 (pow.f32 (-.f32 (/.f32 n0_i u) n0_i) #s(literal 2 binary32)) (*.f32 n1_i n1_i)) u) (-.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (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(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 #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 (*.f32 n0_i (sin.f32 #s(approx (* normAngle (- 1 u)) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #s(approx (/ 1 (sin normAngle)) (/.f32 #s(literal 1 binary32) normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))) (*.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)) (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)))) (*.f32 (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)) (-.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u))))) |
#s(approx (* (/ 1 (sin normAngle)) (+ (* n1_i (sin (* normAngle u))) (* n0_i (sin (* (- 1 u) normAngle))))) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)) (sin.f32 normAngle))) |
(+.f32 (/.f32 (*.f32 n0_i #s(approx (sin (* normAngle (- 1 u))) (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)))) (sin.f32 normAngle)) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i 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))))) |
(*.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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 (/.f32 (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))) (fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(approx (- 1 u) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (-.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)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) #s(literal 3 binary32))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (fma.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))))) n0_i (*.f32 n1_i u))) |
(+.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 #s(approx (sin (* normAngle (- 1 u))) (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)))) (sin.f32 normAngle)) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 #s(approx (sin (* (- 1 u) normAngle)) (-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (fma.f32 (neg.f32 u) normAngle normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (/.f32 #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 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.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 (+.f32 #s(literal -1 binary32) (*.f32 u u)) normAngle) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (/.f32 (exp.f32 (log.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 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (-.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 u u u) #s(literal 2 binary32)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) 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 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #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 2 binary32))) (/.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))) |
| 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:
| 60.0ms | u |
| 47.0ms | normAngle |
| 33.0ms | n1_i |
| 20.0ms | (+.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)) |
| 19.0ms | n0_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)) #s(approx (* (- n1_i n0_i) 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 (+.f32 (/.f32 n0_i u) 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)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (*.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u) (+.f32 n1_i n0_i)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (*.f32 (+.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #s(literal 1 binary32)) n1_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (neg.f32 n0_i) (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) (*.f32 (-.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u)) u) (/.f32 (*.f32 n1_i u) n0_i)) (neg.f32 n0_i))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)) (*.f32 (+.f32 n1_i n0_i) (*.f32 n0_i n0_i))) (*.f32 (+.f32 n1_i n0_i) (+.f32 n1_i n0_i))) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) u)) (neg.f32 (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u)))) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (/.f32 (fma.f32 #s(literal 1 binary32) (+.f32 n1_i n0_i) (*.f32 (/.f32 u n0_i) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i 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))) |
(+.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:
| 19.0ms | n0_i |
| 8.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 8.0ms | normAngle |
| 8.0ms | u |
| 8.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | normAngle |
| 98.0% | 1 | u |
| 98.0% | 1 | n0_i |
| 98.0% | 1 | n1_i |
| 98.0% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) |
5 calls:
| 40.0ms | u |
| 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 | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.9% | 1 | normAngle |
| 60.4% | 2 | u |
| 76.3% | 3 | n0_i |
| 71.7% | 3 | n1_i |
| 56.9% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 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 #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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) |
1 calls:
| 2.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.2% | 3 | n0_i |
Compiled 1 to 4 computations (-300% 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)) #s(approx (* (- n1_i n0_i) 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 n1_i n0_i) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 n1_i n0_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 | n0_i |
| 1.0ms | n1_i |
| 1.0ms | normAngle |
| 1.0ms | u |
| Accuracy | Segments | Branch |
|---|---|---|
| 44.2% | 1 | normAngle |
| 44.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 44.2% | 1 | u |
| 44.2% | 1 | n1_i |
| 44.2% | 1 | n0_i |
Compiled 29 to 33 computations (-13.8% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
5 calls:
| 18.0ms | normAngle |
| 1.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 1.0ms | u |
| 1.0ms | n1_i |
| 1.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 7.8% | 1 | normAngle |
| 7.8% | 1 | u |
| 7.8% | 1 | n0_i |
| 7.8% | 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)) |
| 7.8% | 1 | n1_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2043116606963164e-23 | 8.720698903948517e-23 |
| 0.0ms | -7.25207213907749e-23 | -3.9344986695088e-23 |
Compiled 28 to 24 computations (14.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.2043116606963164e-23 | 8.720698903948517e-23 |
| 0.0ms | -7.25207213907749e-23 | -3.9344986695088e-23 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 79 | 412 |
| 1 | 145 | 374 |
| 2 | 272 | 361 |
| 3 | 572 | 344 |
| 4 | 1459 | 333 |
| 5 | 5697 | 333 |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(if (<=.f32 n0_i #s(literal -15845633/316912650057057350374175801344 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))))) |
(if (<=.f32 n0_i #s(literal -15845633/316912650057057350374175801344 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
| Outputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(if (<=.f32 n0_i #s(literal -15845633/316912650057057350374175801344 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))) (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (-.f32 n0_i (*.f32 u n0_i)))))))) |
(if (or (<=.f32 n0_i #s(literal -15845633/316912650057057350374175801344 binary32)) (not (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (+ (- (/ n0_i 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 n0_i (*.f32 u n0_i)))))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 1 u)))) n0_i) (* n1_i u)) (*.f32 (+.f32 n1_i n0_i) u)))) |
(if (<=.f32 n0_i #s(literal -15845633/316912650057057350374175801344 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (if (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (+ (* (/ (- 1 u) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- (/ n0_i u) n0_i) u) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))))) |
(if (or (<=.f32 n0_i #s(literal -15845633/316912650057057350374175801344 binary32)) (not (<=.f32 n0_i #s(literal 15845633/316912650057057350374175801344 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (+ (- (/ n0_i 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 #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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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) (- 1 u)) (/ -1 (- -1 u))) (neg (/ (* u u) (- 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)) #s(approx (* (- n1_i n0_i) 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 (* (+ (- (/ n0_i u) n0_i) n1_i) u) #s(approx (* (- n1_i n0_i) u) (*.f32 (neg.f32 n0_i) u)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 693 | 4305 |
| 1 | 2216 | 3973 |
| 2 | 7818 | 3973 |
| 0 | 8399 | 3666 |
| 0 | 614 | 3274 |
| 1 | 2003 | 3062 |
| 2 | 7022 | 3059 |
| 0 | 8007 | 2863 |
| 0 | 53 | 275 |
| 0 | 91 | 224 |
| 1 | 272 | 213 |
| 2 | 1926 | 213 |
| 0 | 8661 | 212 |
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3458 | 1384 |
| 0 | 8472 | 1298 |
| 0 | 676 | 3057 |
| 1 | 2185 | 2881 |
| 2 | 7435 | 2871 |
| 0 | 8251 | 2710 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 569 to 235 computations (58.7% saved)
(abs normAngle)
Compiled 1 060 to 286 computations (73% saved)
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