
Time bar (total: 10.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0.8% | 99.2% | 0% | 0% | 0% | 5 |
| 16.7% | 0.1% | 0.5% | 99.2% | 0% | 0.2% | 0% | 6 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 7 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 8 |
| 25% | 0.1% | 0.4% | 99.2% | 0% | 0.2% | 0% | 9 |
| 45% | 0.2% | 0.3% | 99.2% | 0% | 0.3% | 0% | 10 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 11 |
| 52.5% | 0.3% | 0.2% | 99.2% | 0% | 0.3% | 0% | 12 |
Compiled 59 to 39 computations (33.9% saved)
| 2.2s | 8 256× | 0 | valid |
| 507.0ms | 2 045× | 0 | invalid |
ival-<=: 556.0ms (25.5% of total)ival-mult: 475.0ms (21.8% of total)ival-sin: 426.0ms (19.6% of total)ival-div: 227.0ms (10.4% of total)const: 205.0ms (9.4% of total)ival-pi: 84.0ms (3.9% of total)ival-add: 68.0ms (3.1% of total)ival-sub: 57.0ms (2.6% of total)ival-and: 53.0ms (2.4% of total)exact: 22.0ms (1% of total)ival-assert: 4.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 19 | 0 | - | 19 | (8.23259190513942e-35 1.455284746043617e-6 5.0151684138006097e-26 -1.7628774051033206e-29) | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
| 0 | 0 | - | 0 | - | (*.f32 u normAngle) |
| 0 | 0 | - | 0 | - | n1_i |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
| 0 | 0 | - | 0 | - | n0_i |
| 0 | 0 | - | 0 | - | normAngle |
| 0 | 0 | - | 0 | - | (-.f32 #s(literal 1 binary32) u) |
| 0 | 0 | - | 0 | - | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | (sin.f32 (*.f32 u normAngle)) |
| 0 | 0 | - | 0 | - | u |
| 0 | 0 | - | 0 | - | (sin.f32 normAngle) |
| 0 | 0 | - | 0 | - | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 0 | 0 | - | 0 | - | (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 6 |
| - | 0 | 250 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 6 |
| - | 0 | 0 | 250 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 1 |
| - | 0 | 0 | 0 |
| 89.0ms | 500× | 0 | valid |
| 3.0ms | 12× | 1 | valid |
Compiled 433 to 126 computations (70.9% saved)
ival-sin: 41.0ms (57.1% of total)ival-mult: 20.0ms (27.9% of total)ival-div: 4.0ms (5.6% of total)ival-sub: 3.0ms (4.2% of total)ival-add: 2.0ms (2.8% of total)ival-true: 1.0ms (1.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 368 |
| 1 | 279 | 300 |
| 2 | 741 | 283 |
| 3 | 1977 | 255 |
| 4 | 3516 | 252 |
| 5 | 6491 | 252 |
| 0 | 17 | 25 |
| 0 | 29 | 25 |
| 1 | 48 | 21 |
| 2 | 88 | 20 |
| 3 | 156 | 18 |
| 4 | 203 | 18 |
| 5 | 238 | 18 |
| 6 | 282 | 18 |
| 7 | 367 | 18 |
| 8 | 510 | 18 |
| 9 | 609 | 18 |
| 10 | 735 | 18 |
| 11 | 1173 | 18 |
| 12 | 1886 | 18 |
| 13 | 2293 | 18 |
| 14 | 2312 | 18 |
| 15 | 2313 | 18 |
| 16 | 2313 | 18 |
| 0 | 2313 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(abs normAngle)
Compiled 25 to 17 computations (32% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.7% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 25 to 17 computations (32% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 3616 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 0 | 29 | 101 |
| 1 | 48 | 89 |
| 2 | 88 | 88 |
| 3 | 156 | 86 |
| 4 | 203 | 86 |
| 5 | 238 | 86 |
| 6 | 282 | 86 |
| 7 | 367 | 86 |
| 8 | 510 | 86 |
| 9 | 609 | 86 |
| 10 | 735 | 86 |
| 11 | 1173 | 86 |
| 12 | 1886 | 86 |
| 13 | 2293 | 86 |
| 14 | 2312 | 86 |
| 15 | 2313 | 86 |
| 16 | 2313 | 86 |
| 0 | 2313 | 85 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 u normAngle)) |
(*.f32 u normAngle) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(/.f32 (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(sin.f32 (*.f32 u normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 u normAngle) |
(*.f32 normAngle u) |
n1_i |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.12890625 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.16796875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.41701127930532605 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.1636065998710434 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 38.0ms | 250× | 0 | valid |
| 1.0ms | 6× | 1 | valid |
Compiled 204 to 36 computations (82.4% saved)
ival-mult: 14.0ms (47.2% of total)ival-sin: 11.0ms (37.1% of total)ival-div: 2.0ms (6.7% of total)ival-add: 1.0ms (3.4% of total)ival-sub: 1.0ms (3.4% 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 | |
|---|---|---|---|---|
| 7.0ms | u | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 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)) |
| 3.0ms | normAngle | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3391 | 1384 |
| 0 | 8129 | 1298 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(/ (* normAngle u) (sin normAngle)) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) normAngle) normAngle (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (*.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(- 1 u) |
(-.f32 #s(literal 1 binary32) u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (*.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal -1/5040 binary32) u)))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (*.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) u) |
(* n0_i (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 #s(literal -1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (*.f32 normAngle normAngle))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(*.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (*.f32 (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)) u) (/.f32 n0_i (sin.f32 normAngle)) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (*.f32 n0_i (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 n0_i (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 63 |
| 0 | 29 | 53 |
| 1 | 83 | 53 |
| 2 | 469 | 52 |
| 3 | 4845 | 52 |
| 0 | 8489 | 51 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
| Outputs |
|---|
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)))) (fma.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))) |
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)) (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 2 binary32)))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))))) |
(*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)))) (fma.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (-.f32 (*.f32 (/.f32 (-.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))) (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 4 binary32)))) |
(*.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32))) (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))) |
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(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (fma.f32 #s(literal -1 binary32) u #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle))) |
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle) |
(fma.f32 (neg.f32 u) normAngle normAngle) |
(fma.f32 #s(literal -1 binary32) (*.f32 normAngle u) normAngle) |
(fma.f32 normAngle (neg.f32 u) normAngle) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 (neg.f32 u) normAngle)) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) #s(literal -1 binary32)) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(+.f32 normAngle (*.f32 (neg.f32 u) normAngle)) |
Compiled 11 569 to 1 089 computations (90.6% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 258 | 21 | 279 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 259 | 21 | 280 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (/.f32 (-.f32 (pow.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)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.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)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.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)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))))))) | |
| 15.5% | (/.f32 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 6 binary32))) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) (+.f32 (+.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 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 4 binary32))) (pow.f32 (/.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) #s(literal 2 binary32))))) | |
| 63.2% | (/.f32 #s(literal 1 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 (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))))) | |
| 81.5% | (+.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.9% | (+.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)) | |
| 98.0% | (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 97.9% | (+.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)))) | |
| 60.3% | (+.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)) | |
| 97.5% | (+.f32 (*.f32 (*.f32 (sin.f32 (/.f32 normAngle (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ▶ | 97.7% | (+.f32 (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 97.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| ▶ | 96.3% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) |
| ▶ | 98.9% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 97.6% | (+.f32 (*.f32 (*.f32 (sin.f32 #s(approx (* (- 1 u) normAngle) (*.f32 (-.f32 (/.f32 normAngle u) normAngle) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| 82.0% | (+.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)) | |
| 5.4% | (*.f32 (/.f32 #s(literal 1 binary32) (fma.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)))) (+.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)))) | |
| 40.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| ▶ | 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| ▶ | 52.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
| 41.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) |
Compiled 1 782 to 926 computations (48% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 96 | (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 3616 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) | |
| cost-diff | 6464 | (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) | |
| cost-diff | 64 | (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 160 | (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| cost-diff | 3616 | (+.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)) | |
| cost-diff | 0 | (*.f32 normAngle u) | |
| cost-diff | 0 | (sin.f32 (*.f32 normAngle 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 (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))))) | |
| cost-diff | 3552 | (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)))) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) | |
| cost-diff | 160 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| cost-diff | 0 | (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) | |
| cost-diff | 0 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| cost-diff | 64 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| cost-diff | 160 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 532 |
| 0 | 97 | 513 |
| 1 | 154 | 472 |
| 2 | 223 | 472 |
| 3 | 322 | 460 |
| 4 | 446 | 460 |
| 5 | 601 | 458 |
| 6 | 822 | 458 |
| 7 | 1244 | 458 |
| 8 | 1648 | 458 |
| 9 | 2146 | 458 |
| 10 | 3537 | 458 |
| 11 | 3894 | 458 |
| 12 | 3939 | 458 |
| 13 | 3957 | 458 |
| 14 | 3971 | 458 |
| 15 | 3971 | 458 |
| 16 | 4015 | 458 |
| 17 | 4046 | 458 |
| 18 | 4046 | 458 |
| 19 | 4046 | 458 |
| 0 | 4046 | 449 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
(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.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (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) |
(/.f32 n0_i (sin.f32 normAngle)) |
n0_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 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(*.f32 (neg.f32 u) normAngle) |
(neg.f32 u) |
u |
normAngle |
(/.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 |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) 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 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) |
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)) |
(log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
#s(literal -1 binary32) |
n1_i |
| Outputs |
|---|
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
normAngle |
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) |
(sin.f32 normAngle) |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i) |
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(/.f32 normAngle (sin.f32 normAngle)) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 n1_i u) |
n1_i |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 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)))) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
normAngle |
u |
(/.f32 n1_i (sin.f32 normAngle)) |
n1_i |
(sin.f32 normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(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) |
(/.f32 n0_i (sin.f32 normAngle)) |
n0_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 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) 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 (neg.f32 u) normAngle) 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 (neg.f32 u) normAngle) normAngle)) |
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) |
(+.f32 (*.f32 (neg.f32 u) normAngle) normAngle) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (neg.f32 u) normAngle) |
(neg.f32 u) |
u |
normAngle |
(/.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 |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) |
(/.f32 (fma.f32 (sin.f32 (*.f32 normAngle u)) n1_i (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (*.f32 (-.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 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i) |
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) |
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) |
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)) |
(neg.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))) |
(log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
#s(literal -1 binary32) |
n1_i |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.41701127930532605 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.1239764598199218 | (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) | |
| accuracy | 1.5792743766098798 | (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) | |
| accuracy | 0.1171875 | (+.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)) | |
| accuracy | 0.12890625 | (*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.41701127930532605 | (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 1.1636065998710434 | (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) | |
| accuracy | 0.04296875 | (/.f32 n1_i (sin.f32 normAngle)) | |
| accuracy | 0.16796875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.28125 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) | |
| accuracy | 15.354105587067002 | (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)))) | |
| accuracy | 0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0 | (*.f32 n1_i u) | |
| accuracy | 0.6384257185736955 | #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 | 19.430893534634517 | (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) | |
| accuracy | 0.1171875 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.12890625 | (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) | |
| accuracy | 0.16796875 | (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) | |
| accuracy | 0.41701127930532605 | (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
| 84.0ms | 250× | 0 | valid |
| 4.0ms | 6× | 1 | valid |
Compiled 1 017 to 103 computations (89.9% saved)
ival-mult: 29.0ms (46.6% of total)ival-sin: 10.0ms (16.1% of total)ival-div: 8.0ms (12.9% of total)ival-add: 6.0ms (9.6% of total)ival-exp: 3.0ms (4.8% of total)ival-log: 3.0ms (4.8% of total)ival-sub: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% 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 (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) |
(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)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(+.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 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) 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 (neg.f32 u) normAngle) normAngle) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) |
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) |
| 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)) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ 1 (* -1 u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
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 (+ 1 (* -1 u))) |
(* -1 (log (/ 1 u))) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))))) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* -1/24 (* (pow normAngle 2) (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u))))))) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))) (* (pow normAngle 2) (+ (* -1/24 (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))) (* -1/720 (* (pow normAngle 2) (+ (* -720 (* u (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (+ (* -240 (* (pow u 3) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 3))) (* 720 (* (pow u 2) (* (+ (* -1/6 u) (* 1/6 (/ 1 u))) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))))))))))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* n0_i (+ 1 (* -1 u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(/ 1 u) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (* 1/120 (/ 1 u))) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(/ (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))) |
(sin (* normAngle u)) |
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(* -1 (log (/ (sin normAngle) (sin (* normAngle u))))) |
(/ n1_i (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (sin normAngle) (sin (* normAngle u))) |
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(* -1 (* normAngle (- u 1))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* n1_i u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(/ (* 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 |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* -1/6 (* (pow normAngle 2) (pow u 2)))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* -1/24 (* (pow u 2) (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))))))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* (pow u 2) (+ (* -1/24 (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))) (* -1/720 (* (pow u 2) (+ (* -720 (/ (* normAngle (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))))))) (sin normAngle))) (+ (* 10/9 (pow normAngle 6)) (* 120 (/ (* (pow normAngle 3) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle)))))))))))) |
(/ (sin normAngle) (* normAngle u)) |
(/ (+ (* 1/6 (* normAngle (* (pow u 2) (sin normAngle)))) (/ (sin normAngle) normAngle)) u) |
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u) |
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))))))) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(/ (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)))) |
(* -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))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle 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))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle 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))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | 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) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u)))) |
| 46.0ms | 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) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u)))) |
| 23.0ms | 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) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u)))) |
| 20.0ms | 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) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u)))) |
| 15.0ms | 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) (+ (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle)))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (sin (* normAngle u)) (* normAngle u) (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (neg u) normAngle) normAngle) (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (exp (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1)) n1_i)) (* (log (/ (sin normAngle) (sin (* normAngle u)))) -1) (* (- 1 u) normAngle) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (/ n1_i (sin normAngle)) (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (/ (sin normAngle) (sin (* normAngle u)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 755 | 3835 |
| 1 | 2615 | 3557 |
| 0 | 8317 | 3295 |
| 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)) |
(* normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(+ 1 (* -1 u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
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 (+ 1 (* -1 u))) |
(* -1 (log (/ 1 u))) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))))) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* -1/24 (* (pow normAngle 2) (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u))))))) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))) (* (pow normAngle 2) (+ (* -1/24 (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))) (* -1/720 (* (pow normAngle 2) (+ (* -720 (* u (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (+ (* -240 (* (pow u 3) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 3))) (* 720 (* (pow u 2) (* (+ (* -1/6 u) (* 1/6 (/ 1 u))) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))))))))))) |
(/ n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(* n0_i (+ 1 (* -1 u))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(/ 1 u) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (* 1/120 (/ 1 u))) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(/ (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))) |
(sin (* normAngle u)) |
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) |
(/ (sin (* normAngle u)) (sin normAngle)) |
(* -1 (log (/ (sin normAngle) (sin (* normAngle u))))) |
(/ n1_i (sin normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(/ (sin normAngle) (sin (* normAngle u))) |
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(* -1 (* normAngle (- u 1))) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
1 |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(sin normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle))))))))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(* n1_i u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(/ (* 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 |
(+ normAngle (* -1 (* normAngle u))) |
(* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* -1/6 (* (pow normAngle 2) (pow u 2)))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* -1/24 (* (pow u 2) (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))))))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* (pow u 2) (+ (* -1/24 (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))) (* -1/720 (* (pow u 2) (+ (* -720 (/ (* normAngle (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))))))) (sin normAngle))) (+ (* 10/9 (pow normAngle 6)) (* 120 (/ (* (pow normAngle 3) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle)))))))))))) |
(/ (sin normAngle) (* normAngle u)) |
(/ (+ (* 1/6 (* normAngle (* (pow u 2) (sin normAngle)))) (/ (sin normAngle) normAngle)) u) |
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u) |
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))))))) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 u) |
(* u (- (/ 1 u) 1)) |
(* -1 (* normAngle u)) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(/ (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)))) |
(* -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))))) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle 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))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle 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))))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))))) |
| 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)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.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 n1_i n0_i) u n0_i) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #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 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (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 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n0_i (- 1 u)) |
(*.f32 (-.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 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32)) n0_i)))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(* normAngle (- 1 u)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* 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 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle) (-.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) |
(* normAngle u) |
(*.f32 normAngle u) |
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) normAngle) normAngle (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u)) |
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5)))))))) |
(fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 7 binary32)) (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal -1/6 binary32))) (*.f32 normAngle u)) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 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 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #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 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (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 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i))))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) |
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.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 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u))))))) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (*.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) |
u |
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u) |
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (*.f32 #s(literal 1/120 binary32) u))) (*.f32 normAngle normAngle) (*.f32 #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 (+ 1 (* -1 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (log (/ 1 u))) |
(log.f32 u) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))))) |
(fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) normAngle) normAngle (log.f32 u)) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* -1/24 (* (pow normAngle 2) (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))))))) (* u (+ (* -1/6 u) (* 1/6 (/ 1 u))))))) |
(fma.f32 (fma.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) #s(literal 2 binary32)) u) u) (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) u))) normAngle) normAngle (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u)) (*.f32 normAngle normAngle) (log.f32 u)) |
(+ (* -1 (log (/ 1 u))) (* (pow normAngle 2) (+ (* u (+ (* -1/6 u) (* 1/6 (/ 1 u)))) (* (pow normAngle 2) (+ (* -1/24 (+ (* -12 (* (pow u 2) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 2))) (* 24 (* u (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))) (* -1/720 (* (pow normAngle 2) (+ (* -720 (* u (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (+ (* -240 (* (pow u 3) (pow (+ (* -1/6 u) (* 1/6 (/ 1 u))) 3))) (* 720 (* (pow u 2) (* (+ (* -1/6 u) (* 1/6 (/ 1 u))) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))))))))))))) |
(fma.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) #s(literal 2 binary32)) u) u) (fma.f32 #s(literal -1 binary32) (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) u) (*.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 normAngle normAngle)) (fma.f32 (*.f32 #s(literal -720 binary32) u) (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (pow.f32 u #s(literal 4 binary32)) (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/5040 binary32) (/.f32 #s(literal 1/5040 binary32) u)))) (fma.f32 (*.f32 #s(literal -240 binary32) (pow.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) #s(literal 3 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (*.f32 #s(literal 720 binary32) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u)) (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))))))))) (*.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u)) (*.f32 normAngle normAngle) (log.f32 u)) |
(/ n1_i normAngle) |
(/.f32 n1_i normAngle) |
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (*.f32 n1_i #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 normAngle) normAngle) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n1_i)) (*.f32 normAngle normAngle) n1_i) normAngle) |
(* n0_i (+ 1 (* -1 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (*.f32 #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 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))) |
(fma.f32 (fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (*.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal 1/5040 binary32) u #s(literal -1/5040 binary32)) n0_i)))) (*.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) |
(/ 1 u) |
(/.f32 #s(literal 1 binary32) u) |
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(-.f32 (/.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) normAngle) normAngle)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(fma.f32 (-.f32 (*.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) u)) |
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 u)) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (+ (* -1/5040 (pow u 5)) (* 1/5040 (/ 1 u))))))) (* 1/120 (/ 1 u))) (+ (* 1/120 (pow u 3)) (* 1/6 (* (pow u 2) (+ (* -1/6 u) (* 1/6 (/ 1 u)))))))) (+ (* -1/6 u) (* 1/6 (/ 1 u))))) (/ 1 u)) |
(fma.f32 (-.f32 (*.f32 (-.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) u) (*.f32 (fma.f32 (*.f32 (*.f32 u u) #s(literal -1/6 binary32)) (-.f32 (/.f32 #s(literal 1/120 binary32) u) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 #s(literal -1/120 binary32) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (pow.f32 u #s(literal 4 binary32)) (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/5040 binary32) (/.f32 #s(literal 1/5040 binary32) u)))) (*.f32 normAngle normAngle))) (fma.f32 (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u)) u) u) #s(literal 1/6 binary32) (*.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) u (/.f32 #s(literal 1/6 binary32) u))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) u)) |
(/ (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)) |
(sin (* normAngle u)) |
(sin.f32 (*.f32 normAngle u)) |
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle 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 (* normAngle 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)) |
(* -1 (log (/ (sin normAngle) (sin (* normAngle u))))) |
(neg.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))) |
(/ n1_i (sin normAngle)) |
(/.f32 n1_i (sin.f32 normAngle)) |
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin normAngle) (sin (* normAngle u))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) |
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (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 (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) |
(* -1 (* normAngle (- u 1))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) normAngle) normAngle (*.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
n0_i |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))) |
(fma.f32 (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 (*.f32 (*.f32 normAngle u) normAngle) n0_i) #s(literal -1/2 binary32) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) n0_i) (*.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (neg.f32 n0_i) (*.f32 (*.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) 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 (* 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 #s(literal 1/6 binary32) n0_i) (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(sin normAngle) |
(sin.f32 normAngle) |
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle))))) |
(-.f32 (sin.f32 normAngle) (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle)) |
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle))))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (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 (*.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 3 binary32))) u) (cos.f32 normAngle) (*.f32 (*.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (*.f32 normAngle normAngle))) u (*.f32 (cos.f32 normAngle) (neg.f32 normAngle))) u (sin.f32 normAngle)) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* n1_i u) |
(*.f32 n1_i u) |
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2))))) |
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) (pow.f32 u #s(literal 3 binary32)) u) normAngle) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2))))))) |
(fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) u) u (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle u)) |
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5)))))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) u) u (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32))) (pow.f32 u #s(literal 3 binary32)) (*.f32 normAngle u)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle)))) |
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) u (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (pow.f32 u #s(literal 3 binary32))) (sin.f32 normAngle))) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle)))) |
(fma.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 u (/.f32 u (sin.f32 normAngle))) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle)))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (*.f32 u (/.f32 u (sin.f32 normAngle))) (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)))) (*.f32 u u) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (pow.f32 u #s(literal 3 binary32)) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) |
normAngle |
(+ normAngle (* -1 (* normAngle u))) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) |
(fma.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) #s(literal -1 binary32) (log.f32 u)) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* -1/6 (* (pow normAngle 2) (pow u 2)))) |
(-.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u) u) (-.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) (log.f32 u))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* -1/24 (* (pow u 2) (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))))))) |
(-.f32 (*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (*.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 1/72 binary32))) (*.f32 u u))) (*.f32 u u)) (-.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) (log.f32 u))) |
(+ (* -1 (+ (log (/ (sin normAngle) normAngle)) (* -1 (log u)))) (* (pow u 2) (+ (* -1/6 (pow normAngle 2)) (* (pow u 2) (+ (* -1/24 (+ (* -24 (/ (* normAngle (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle))) (* -1/3 (pow normAngle 4)))) (* -1/720 (* (pow u 2) (+ (* -720 (/ (* normAngle (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))))))) (sin normAngle))) (+ (* 10/9 (pow normAngle 6)) (* 120 (/ (* (pow normAngle 3) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle))))) (sin normAngle)))))))))))) |
(fma.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) normAngle) normAngle (*.f32 (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 u u)) (fma.f32 (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))))) (/.f32 normAngle (sin.f32 normAngle))) #s(literal -720 binary32) (fma.f32 (/.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))) (pow.f32 normAngle #s(literal 3 binary32))) (sin.f32 normAngle)) #s(literal 120 binary32) (*.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal 10/9 binary32)))) (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32) (*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 1/72 binary32)))) (*.f32 u u))) (*.f32 u u) (fma.f32 (log.f32 (/.f32 (sin.f32 normAngle) normAngle)) #s(literal -1 binary32) (log.f32 u))) |
(/ (sin normAngle) (* normAngle u)) |
(/.f32 (/.f32 (sin.f32 normAngle) normAngle) u) |
(/ (+ (* 1/6 (* normAngle (* (pow u 2) (sin normAngle)))) (/ (sin normAngle) normAngle)) u) |
(/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 (sin.f32 normAngle) u) u) normAngle) #s(literal 1/6 binary32) (/.f32 (sin.f32 normAngle) normAngle)) u) |
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u) |
(/.f32 (fma.f32 (fma.f32 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) #s(literal 7/360 binary32)) (*.f32 u u) (*.f32 (*.f32 (sin.f32 normAngle) normAngle) #s(literal 1/6 binary32))) (*.f32 u u) (/.f32 (sin.f32 normAngle) normAngle)) u) |
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 5) (sin normAngle))) (+ (* 1/720 (* (pow normAngle 5) (sin normAngle))) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))))))) (+ (* -1/36 (* (pow normAngle 3) (sin normAngle))) (* 1/120 (* (pow normAngle 3) (sin normAngle)))))) (* -1/6 (* normAngle (sin normAngle))))) (/ (sin normAngle) normAngle)) u) |
(/.f32 (fma.f32 (fma.f32 (*.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)) normAngle (*.f32 (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) #s(literal 7/360 binary32) (*.f32 (*.f32 (neg.f32 u) u) (fma.f32 (*.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) #s(literal 1/840 binary32) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle)) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) (*.f32 (sin.f32 normAngle) #s(literal -7/360 binary32))))))) (*.f32 u u))) (*.f32 u u) (/.f32 (sin.f32 normAngle) normAngle)) u) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) |
(* -1 u) |
(neg.f32 u) |
(* u (- (/ 1 u) 1)) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(/ (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))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 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) |
(* 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 (* normAngle 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))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.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 (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 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n0_i) (fma.f32 (/.f32 n1_i n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(*.f32 (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)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 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))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.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)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle))))))) |
(neg.f32 (*.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 325 |
| 0 | 97 | 283 |
| 1 | 285 | 280 |
| 2 | 1880 | 279 |
| 0 | 8232 | 278 |
| 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) |
(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)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))) |
(sin.f32 (*.f32 normAngle u)) |
(*.f32 normAngle u) |
(+.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 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) 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 (neg.f32 u) normAngle) normAngle) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) |
(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) |
(*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32)) |
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) |
(*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) |
(/.f32 n1_i (sin.f32 normAngle)) |
(*.f32 (*.f32 (sin.f32 (+.f32 (*.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) |
| 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 (-.f32 (*.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle))) (*.f32 (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)))) (-.f32 (/.f32 (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (sin.f32 normAngle)) (/.f32 (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (sin.f32 normAngle)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle))))) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 normAngle) (sin.f32 (*.f32 (neg.f32 u) normAngle)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 (cos.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
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(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(fma.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
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(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle))) |
(*.f32 (/.f32 (neg.f32 n0_i) #s(literal -1 binary32)) (/.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)) (/.f32 (neg.f32 n0_i) (sin.f32 normAngle))) |
(*.f32 (*.f32 (neg.f32 n0_i) (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))) (neg.f32 n0_i)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))) |
(*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))) |
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n0_i))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32))) |
(*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) n0_i))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (neg.f32 (*.f32 (neg.f32 n0_i) (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))) (neg.f32 n0_i))) (sin.f32 normAngle)) |
(/.f32 (neg.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) (sin.f32 normAngle)) |
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (/.f32 (sin.f32 normAngle) n0_i))) |
(/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle)) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))))) |
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (sin.f32 normAngle) n0_i)) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (neg.f32 n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (neg.f32 n0_i)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))) |
(*.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal -1/2 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) |
(*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(*.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))) |
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)) |
(*.f32 (sin.f32 normAngle) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32))) |
(*.f32 (sin.f32 normAngle) (exp.f32 (neg.f32 (log.f32 (sin.f32 (*.f32 normAngle u)))))) |
(*.f32 (sin.f32 normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))) |
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u)))) (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))) |
(/.f32 (exp.f32 (log.f32 (neg.f32 (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (*.f32 (neg.f32 u) normAngle))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) |
(/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 (neg.f32 u) normAngle))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 normAngle u))))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(-.f32 (/.f32 #s(literal 0 binary32) (sin.f32 (*.f32 (neg.f32 u) normAngle))) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(-.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
(pow.f32 (exp.f32 #s(literal -1 binary32)) (log.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) |
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) #s(literal 1 binary32)) |
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) #s(literal -1 binary32)) |
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) #s(literal -1 binary32))) |
(exp.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))) |
(neg.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) |
Compiled 49 876 to 3 794 computations (92.4% saved)
35 alts after pruning (34 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 958 | 29 | 987 |
| Fresh | 11 | 5 | 16 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 973 | 35 | 1 008 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 39.5% | (/.f32 #s(literal 1 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)))))) |
| 99.0% | (+.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)) | |
| 99.1% | (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.9% | (+.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)))) | |
| 99.1% | (+.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 u #s(literal 1 binary32))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 97.6% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i)) | |
| 98.8% | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) 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)) | |
| 96.6% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) | |
| ▶ | 99.2% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
| 82.0% | (+.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)) | |
| 83.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 40.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| 43.8% | #s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) | |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) | |
| ✓ | 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u)))) | |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) | |
| 52.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (sin (* normAngle u)) (*.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))))) | |
| 55.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 55.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) | |
| 33.4% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (fma.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 (sin.f32 normAngle) n1_i)))) | |
| ▶ | 74.5% | #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))))) |
| 54.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i)))) | |
| 60.9% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle)))) | |
| 74.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)))))) | |
| ▶ | 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 74.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))) | |
| 41.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) | |
| ▶ | 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
| 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) | |
| 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
Compiled 2 620 to 1 666 computations (36.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f32 n0_i (sin.f32 normAngle)) | |
| cost-diff | 0 | (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)))) | |
| cost-diff | 0 | (/.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))))) | |
| cost-diff | 704 | (/.f32 #s(literal 1 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)))))) | |
| cost-diff | 0 | (-.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))) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) | |
| cost-diff | 160 | (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 7392 | (/.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)))) | |
| cost-diff | 0 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 224 | (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 0 | (-.f32 n1_i n0_i) | |
| cost-diff | 0 | (*.f32 (-.f32 n1_i n0_i) u) | |
| cost-diff | 0 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) | |
| cost-diff | 0 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| cost-diff | 64 | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 532 |
| 0 | 77 | 500 |
| 1 | 131 | 466 |
| 2 | 249 | 451 |
| 3 | 627 | 444 |
| 4 | 1823 | 443 |
| 5 | 3710 | 443 |
| 0 | 8205 | 433 |
| 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)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 n1_i u) |
n1_i |
u |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.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 (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 (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))) |
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) |
(*.f32 n1_i u) |
n1_i |
u |
#s(literal 2 binary32) |
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(/.f32 #s(literal 1 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)))))) |
#s(literal 1 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))))) |
(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 n0_i (sin.f32 normAngle)) |
n0_i |
(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) |
u |
(*.f32 n1_i #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)) |
| 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)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(*.f32 n1_i u) |
n1_i |
u |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(/.f32 (-.f32 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.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))) |
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) |
(*.f32 n1_i u) |
n1_i |
u |
#s(literal 2 binary32) |
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (+.f32 n1_i n0_i) u (neg.f32 n0_i)) |
(/.f32 #s(literal 1 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)))))) |
(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)))) |
#s(literal 1 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 #s(literal 1 binary32) (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))))) |
(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)))) |
(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 (sin.f32 normAngle)) |
n0_i |
(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) |
u |
(*.f32 n1_i #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)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.16796875 | (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.23828125 | (/.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))))) | |
| accuracy | 0.2734375 | (/.f32 #s(literal 1 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)))))) | |
| accuracy | 21.269967064910592 | (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)))) | |
| accuracy | 0.19273378907376804 | (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) | |
| accuracy | 0.1953125 | (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) | |
| accuracy | 0.6384257185736955 | #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))))) | |
| accuracy | 7.786837942800608 | (/.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)))) | |
| accuracy | 0 | (*.f32 n1_i u) | |
| accuracy | 0.09765625 | (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| accuracy | 0.12109375 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.6384257185736955 | #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)))) | |
| accuracy | 0 | (-.f32 n1_i n0_i) | |
| accuracy | 0.1015625 | (*.f32 (-.f32 n1_i n0_i) u) | |
| accuracy | 0.6384257185736955 | #s(approx (+ (* (* (sin (* (- 1 u) 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 | 19.123193532118282 | #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)) | |
| accuracy | 0.03515625 | (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) | |
| accuracy | 0.1171875 | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| accuracy | 0.12890625 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| accuracy | 0.19563046272868168 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
| 91.0ms | 250× | 0 | valid |
| 3.0ms | 6× | 1 | valid |
Compiled 945 to 94 computations (90.1% saved)
ival-sub: 24.0ms (33.5% of total)ival-mult: 19.0ms (26.6% of total)ival-div: 10.0ms (14% of total)ival-sin: 8.0ms (11.2% of total)ival-pow2: 5.0ms (7% of total)ival-add: 4.0ms (5.6% 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 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(/.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 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 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 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #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 #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))))) |
(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 n0_i (sin.f32 normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) |
(*.f32 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) |
(/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -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))))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -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)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))))) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i (pow u 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u))) (/ (* (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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))))))) (+ (* n0_i (- 1 u)) (* n1_i u)))))))))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(/ n0_i normAngle) |
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
u |
(+ u (* 1/6 (* (pow normAngle 2) u))) |
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ 1 (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))) |
(/ n0_i (sin normAngle)) |
(/ (* 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)) |
(* n1_i u) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* u (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i)))))) |
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i)))))) |
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (+ (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (/ (* u (* (- n1_i (* -1 n0_i)) (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i)))))) |
(* -1 n0_i) |
(- (* u (- n1_i (* -1 n0_i))) n0_i) |
(* -1 (pow n0_i 2)) |
(- (* 2 (* (pow n0_i 2) u)) (pow n0_i 2)) |
(- (* u (- (* u (- (pow n1_i 2) (pow n0_i 2))) (* -2 (pow n0_i 2)))) (pow n0_i 2)) |
(/ 1 n0_i) |
(+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i)))) n0_i)) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* (pow n0_i 2) (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(pow n0_i 2) |
(+ (* -2 (* (pow n0_i 2) u)) (pow n0_i 2)) |
(+ (* u (+ (* -2 (pow n0_i 2)) (* (pow n0_i 2) u))) (pow n0_i 2)) |
(* (pow n1_i 2) (pow u 2)) |
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)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- n1_i (* -1 n0_i))) |
(* u (- (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))) |
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))) |
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (+ (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (- n1_i (* -1 n0_i)))))) (* (pow u 3) (- n1_i (* -1 n0_i)))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))) |
(* u (- n1_i (* -1 n0_i))) |
(* u (- (+ n1_i (* -1 (/ n0_i u))) (* -1 n0_i))) |
(* (pow u 2) (- (pow n1_i 2) (pow n0_i 2))) |
(* (pow u 2) (- (+ (* 2 (/ (pow n0_i 2) u)) (pow n1_i 2)) (pow n0_i 2))) |
(* (pow u 2) (- (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (pow n1_i 2)) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2)))) |
(* (pow n0_i 2) (pow u 2)) |
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2))) |
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (+ (/ (pow n0_i 2) (pow u 2)) (pow n0_i 2)))) |
(* -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 (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- (* -1 n1_i) n0_i))) |
(* -1 (* u (- (+ (* -1 (/ (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (+ (* -1 (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i))))) (* u (- (* -1 n1_i) n0_i)))) (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(* -1 (* u (- (* -1 n1_i) n0_i))) |
(* -1 (* u (- (+ (* -1 n1_i) (/ n0_i u)) n0_i))) |
(* (pow u 2) (- (+ (* -1 (/ (- (/ (pow n0_i 2) u) (* 2 (pow n0_i 2))) u)) (pow n1_i 2)) (pow n0_i 2))) |
(/ 1 (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow n0_i 2) u)) (* 2 (pow n0_i 2))) u)) (pow n0_i 2))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ (* n0_i (- (+ 1 (* n0_i (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u)) |
(+ (* n0_i (- (+ 1 (* n0_i (- (+ (* -1 (/ (* n0_i (* (- u 1) (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) (* n1_i u))) (* -1 (/ (pow (- 1 u) 2) (* n1_i u)))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u)) |
(+ (* n0_i (- u 1)) (* n1_i u)) |
(+ (* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) (* (pow n1_i 2) (pow u 2))) |
(/ (sin normAngle) (* n1_i (sin (* normAngle u)))) |
(+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(+ (* n0_i (- (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(+ (* n0_i (- (* n0_i (- (* -1 (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 4) (pow (sin (* normAngle u)) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2)) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3)))))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(* (pow n0_i 2) (pow (- 1 u) 2)) |
(* 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 (- (/ n1_i n0_i) 1)) |
(* -1 (/ (* n0_i (pow (- 1 u) 2)) (- u 1))) |
(* n0_i (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2))))) |
(* n0_i (- (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1)))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3)))))) |
(* n0_i (- (+ (* -1 (/ (* n1_i (* u (- (/ (* (pow n1_i 2) (pow u 2)) (- u 1)) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (pow (- u 1) 3))))) (* (pow n0_i 3) (- u 1)))) (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1))))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3)))))) |
(* n0_i (- u 1)) |
(* n0_i (- (+ u (/ (* n1_i u) n0_i)) 1)) |
(* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) |
(* (pow n0_i 2) (- (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)) (pow (- 1 u) 2))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))) |
(/ (+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) n0_i) |
(/ (- (+ (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i) |
(/ (- (+ (* -1 (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 4)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (+ (* -1 (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2))))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (- 1 u))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (* -1 (- 1 u))))) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* n0_i (pow (sin (* normAngle (- 1 u))) 3))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* n0_i (pow (sin (* normAngle (- 1 u))) 4))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (pow (sin (* normAngle (- 1 u))) 3))) n0_i)) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i)) |
(- n1_i n0_i) |
(- (* n1_i u) (* n0_i (- 1 u))) |
(- (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (pow (- 1 u) 2))) |
(+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(+ (* n1_i (- (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(+ (* n1_i (- (* n1_i (- (* -1 (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 4) (pow (sin (* normAngle (- 1 u))) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle u)) 2)) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3)))))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* 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 (* -1 (/ (* n0_i (- 1 u)) n1_i)))) |
(* (pow n1_i 2) (+ (* -1 (/ (* (pow n0_i 2) (pow (- 1 u) 2)) (pow n1_i 2))) (pow u 2))) |
(/ (+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (sin (* normAngle u)))) n1_i) |
(/ (- (+ (/ (sin normAngle) (sin (* normAngle u))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i) |
(/ (- (+ (* -1 (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 4)))) (/ (sin normAngle) (sin (* normAngle u)))) (+ (* -1 (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2))))) 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) (/ (* n0_i (- 1 u)) n1_i)))) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* n1_i (pow (sin (* normAngle u)) 3))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* n1_i (pow (sin (* normAngle u)) 4))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (pow (sin (* normAngle u)) 3))) n1_i)) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i)) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | 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) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u))) |
| 7.0ms | n0_i | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u))) |
| 7.0ms | 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))) 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) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u))) |
| 6.0ms | normAngle | @ | 0 | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- n1_i n0_i) u) (- n1_i n0_i) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u))) |
| 6.0ms | 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) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* n0_i (- 1 u)) (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (- (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (/ 1 (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))))) (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle))))) (/ n0_i (sin normAngle)) (* (/ normAngle (sin normAngle)) u) (pow (* n0_i (- 1 u)) 2) (pow (* n1_i u) 2) (* normAngle (- 1 u))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 6161 |
| 1 | 3068 | 5693 |
| 0 | 8090 | 5428 |
| 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) |
(/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -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))))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -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)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))))) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i (pow u 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u))) (/ (* (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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))))))) (+ (* n0_i (- 1 u)) (* n1_i u)))))))))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(/ n0_i normAngle) |
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
u |
(+ u (* 1/6 (* (pow normAngle 2) u))) |
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(* normAngle (- 1 u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/ 1 (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))) |
(/ n0_i (sin normAngle)) |
(/ (* 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)) |
(* n1_i u) |
(+ n0_i (* -1 (* n0_i u))) |
(+ n0_i (* u (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i)))))) |
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i)))))) |
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (+ (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (/ (* u (* (- n1_i (* -1 n0_i)) (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i)))))) |
(* -1 n0_i) |
(- (* u (- n1_i (* -1 n0_i))) n0_i) |
(* -1 (pow n0_i 2)) |
(- (* 2 (* (pow n0_i 2) u)) (pow n0_i 2)) |
(- (* u (- (* u (- (pow n1_i 2) (pow n0_i 2))) (* -2 (pow n0_i 2)))) (pow n0_i 2)) |
(/ 1 n0_i) |
(+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i)))) n0_i)) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* (pow n0_i 2) (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(pow n0_i 2) |
(+ (* -2 (* (pow n0_i 2) u)) (pow n0_i 2)) |
(+ (* u (+ (* -2 (pow n0_i 2)) (* (pow n0_i 2) u))) (pow n0_i 2)) |
(* (pow n1_i 2) (pow u 2)) |
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)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- n1_i (* -1 n0_i))) |
(* u (- (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))) |
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))) |
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (+ (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (- n1_i (* -1 n0_i)))))) (* (pow u 3) (- n1_i (* -1 n0_i)))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))) |
(* u (- n1_i (* -1 n0_i))) |
(* u (- (+ n1_i (* -1 (/ n0_i u))) (* -1 n0_i))) |
(* (pow u 2) (- (pow n1_i 2) (pow n0_i 2))) |
(* (pow u 2) (- (+ (* 2 (/ (pow n0_i 2) u)) (pow n1_i 2)) (pow n0_i 2))) |
(* (pow u 2) (- (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (pow n1_i 2)) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2)))) |
(* (pow n0_i 2) (pow u 2)) |
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2))) |
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (+ (/ (pow n0_i 2) (pow u 2)) (pow n0_i 2)))) |
(* -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 (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- (* -1 n1_i) n0_i))) |
(* -1 (* u (- (+ (* -1 (/ (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (+ (* -1 (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i))))) (* u (- (* -1 n1_i) n0_i)))) (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(* -1 (* u (- (* -1 n1_i) n0_i))) |
(* -1 (* u (- (+ (* -1 n1_i) (/ n0_i u)) n0_i))) |
(* (pow u 2) (- (+ (* -1 (/ (- (/ (pow n0_i 2) u) (* 2 (pow n0_i 2))) u)) (pow n1_i 2)) (pow n0_i 2))) |
(/ 1 (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow n0_i 2) u)) (* 2 (pow n0_i 2))) u)) (pow n0_i 2))) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* -1 (* n0_i u)) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(+ (* n0_i (- (+ 1 (* n0_i (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u)) |
(+ (* n0_i (- (+ 1 (* n0_i (- (+ (* -1 (/ (* n0_i (* (- u 1) (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) (* n1_i u))) (* -1 (/ (pow (- 1 u) 2) (* n1_i u)))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u)) |
(+ (* n0_i (- u 1)) (* n1_i u)) |
(+ (* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) (* (pow n1_i 2) (pow u 2))) |
(/ (sin normAngle) (* n1_i (sin (* normAngle u)))) |
(+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(+ (* n0_i (- (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(+ (* n0_i (- (* n0_i (- (* -1 (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 4) (pow (sin (* normAngle u)) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2)) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3)))))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(* (pow n0_i 2) (pow (- 1 u) 2)) |
(* 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 (- (/ n1_i n0_i) 1)) |
(* -1 (/ (* n0_i (pow (- 1 u) 2)) (- u 1))) |
(* n0_i (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2))))) |
(* n0_i (- (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1)))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3)))))) |
(* n0_i (- (+ (* -1 (/ (* n1_i (* u (- (/ (* (pow n1_i 2) (pow u 2)) (- u 1)) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (pow (- u 1) 3))))) (* (pow n0_i 3) (- u 1)))) (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1))))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3)))))) |
(* n0_i (- u 1)) |
(* n0_i (- (+ u (/ (* n1_i u) n0_i)) 1)) |
(* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) |
(* (pow n0_i 2) (- (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)) (pow (- 1 u) 2))) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))) |
(/ (+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) n0_i) |
(/ (- (+ (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i) |
(/ (- (+ (* -1 (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 4)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (+ (* -1 (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2))))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ u (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (- 1 u))) |
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (* -1 (- 1 u))))) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* n0_i (pow (sin (* normAngle (- 1 u))) 3))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* n0_i (pow (sin (* normAngle (- 1 u))) 4))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (pow (sin (* normAngle (- 1 u))) 3))) n0_i)) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i)) |
(- n1_i n0_i) |
(- (* n1_i u) (* n0_i (- 1 u))) |
(- (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (pow (- 1 u) 2))) |
(+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(+ (* n1_i (- (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(+ (* n1_i (- (* n1_i (- (* -1 (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 4) (pow (sin (* normAngle (- 1 u))) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle u)) 2)) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3)))))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* 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 (* -1 (/ (* n0_i (- 1 u)) n1_i)))) |
(* (pow n1_i 2) (+ (* -1 (/ (* (pow n0_i 2) (pow (- 1 u) 2)) (pow n1_i 2))) (pow u 2))) |
(/ (+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (sin (* normAngle u)))) n1_i) |
(/ (- (+ (/ (sin normAngle) (sin (* normAngle u))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i) |
(/ (- (+ (* -1 (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 4)))) (/ (sin normAngle) (sin (* normAngle u)))) (+ (* -1 (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2))))) 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) (/ (* n0_i (- 1 u)) n1_i)))) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* n1_i (pow (sin (* normAngle u)) 3))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* n1_i (pow (sin (* normAngle u)) 4))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (pow (sin (* normAngle u)) 3))) n1_i)) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) 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 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (*.f32 #s(literal 1/120 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #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))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 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 (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/5040 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32))))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 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) |
(-.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(fma.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal 1/120 binary32) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (*.f32 normAngle normAngle) (-.f32 #s(literal 1 binary32) u)) |
(/ 1 (+ (* n0_i (- 1 u)) (* n1_i u))) |
(/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.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))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(+ (* (pow normAngle 2) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* (pow normAngle 2) (- (+ (* -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))))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -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)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))))) (+ (* -1/5040 (/ (* n0_i (pow (- 1 u) 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/5040 (/ (* n1_i (pow u 7)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* -1/6 (/ (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* 1/120 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))) (+ (* n0_i (- 1 u)) (* n1_i u))) (/ (* (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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))))))) (+ (* n0_i (- 1 u)) (* n1_i u)))))))))))) (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (+ (* 1/120 (/ (* n1_i (pow u 5)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 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)))) (- (+ (* -1/6 (/ (* n0_i (- 1 u)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i u) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (+ (* n0_i (- 1 u)) (* n1_i u))))))))) (+ (* -1/6 (/ (* n0_i (pow (- 1 u) 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2))) (* -1/6 (/ (* n1_i (pow u 3)) (pow (+ (* n0_i (- 1 u)) (* n1_i u)) 2)))))) (/ 1 (+ (* n0_i (- 1 u)) (* n1_i u)))) |
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.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))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 #s(literal 1/120 binary32) n0_i) (-.f32 #s(literal 1 binary32) u) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1/6 binary32)))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (-.f32 (*.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) #s(literal -1/6 binary32) (*.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (+.f32 (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.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))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (/.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (/.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))) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (-.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 u (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 n1_i u) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32)))))) (*.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))) (/.f32 (*.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (pow.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) #s(literal 2 binary32))))))) (*.f32 normAngle normAngle) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) |
(/ n0_i normAngle) |
(/.f32 n0_i normAngle) |
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle) |
(/.f32 (fma.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal 1/6 binary32) n0_i) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (*.f32 n0_i #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n0_i)) (*.f32 normAngle normAngle) n0_i) normAngle) |
(/ (+ n0_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n0_i) (+ (* 1/720 n0_i) (* 1/6 (+ (* -1/36 n0_i) (* 1/120 n0_i))))))) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle) |
(/.f32 (fma.f32 (fma.f32 (fma.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/840 binary32) (*.f32 (*.f32 n0_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 n0_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) n0_i)) (*.f32 normAngle normAngle) n0_i) normAngle) |
u |
(+ u (* 1/6 (* (pow normAngle 2) u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/6 binary32) u) |
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (*.f32 u #s(literal 7/360 binary32)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 (*.f32 u #s(literal -7/360 binary32)) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (*.f32 u #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) |
(* normAngle (- 1 u)) |
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ 1 (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) |
(/ n0_i (sin normAngle)) |
(/.f32 n0_i (sin.f32 normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 normAngle (/.f32 u (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 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (-.f32 (fma.f32 (*.f32 #s(literal -1/2 binary32) n0_i) (*.f32 (*.f32 normAngle normAngle) u) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle)))))) |
(fma.f32 (fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) u (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(-.f32 n0_i (/.f32 (*.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) n0_i) (sin.f32 normAngle))) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32)) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32))) (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) n0_i))) u) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(-.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle))) |
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) |
(fma.f32 (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 normAngle normAngle) u)) (/.f32 (*.f32 (cos.f32 normAngle) 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 (*.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle))) u #s(literal 1 binary32)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* n1_i u) |
(*.f32 n1_i u) |
(+ n0_i (* -1 (* n0_i u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ n0_i (* u (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i)))))) |
(fma.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) u n0_i) |
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i)))))) |
(fma.f32 (fma.f32 (fma.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) n0_i) #s(literal -1 binary32) (*.f32 (+.f32 n1_i n0_i) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) n0_i))) u (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i))) u n0_i) |
(+ n0_i (* u (- (+ (* -2 n0_i) (* u (- (+ (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (/ (* u (* (- n1_i (* -1 n0_i)) (- (* -1 (/ (- (pow n1_i 2) (pow n0_i 2)) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) n0_i)) (* -1 (/ (* (- n1_i (* -1 n0_i)) (- (* -2 n0_i) (* -1 (- n1_i (* -1 n0_i))))) n0_i))))) (* -1 (- n1_i (* -1 n0_i)))))) |
(fma.f32 (fma.f32 (fma.f32 u (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) n0_i) #s(literal -1 binary32) (*.f32 (+.f32 n1_i n0_i) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) n0_i))) (+.f32 n1_i n0_i)) n0_i) (fma.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) n0_i) #s(literal -1 binary32) (*.f32 (+.f32 n1_i n0_i) (/.f32 (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i)) n0_i)))) u (fma.f32 #s(literal -2 binary32) n0_i (+.f32 n1_i n0_i))) u n0_i) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(- (* u (- n1_i (* -1 n0_i))) n0_i) |
(-.f32 (*.f32 (+.f32 n1_i n0_i) u) n0_i) |
(* -1 (pow n0_i 2)) |
(*.f32 (neg.f32 n0_i) n0_i) |
(- (* 2 (* (pow n0_i 2) u)) (pow n0_i 2)) |
(-.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) |
(- (* u (- (* u (- (pow n1_i 2) (pow n0_i 2))) (* -2 (pow n0_i 2)))) (pow n0_i 2)) |
(fma.f32 (fma.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) u (*.f32 (*.f32 n0_i n0_i) #s(literal 2 binary32))) u (*.f32 (neg.f32 n0_i) n0_i)) |
(/ 1 n0_i) |
(/.f32 #s(literal 1 binary32) n0_i) |
(+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(fma.f32 (neg.f32 u) (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) (/.f32 #s(literal 1 binary32) n0_i)) |
(+ (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(fma.f32 (neg.f32 (fma.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) n0_i) (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))))) u (/.f32 #s(literal 1 binary32) n0_i)) |
(+ (* u (- (* u (- (* -1 (* u (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i)))) n0_i)) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (* (pow n0_i 2) (sin normAngle)))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (* n0_i (sin normAngle)))) (* 1/2 (* (pow normAngle 2) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))))))))) (+ (* -1 (/ (* (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle))))) n0_i)) (* -1/2 (/ (pow normAngle 2) n0_i))))) (+ (* -1 (/ (* normAngle (cos normAngle)) (* n0_i (sin normAngle)))) (/ (* n1_i normAngle) (* (pow n0_i 2) (sin normAngle)))))) (/ 1 n0_i)) |
(fma.f32 (fma.f32 (neg.f32 (fma.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 n0_i n0_i)) (/.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) (sin.f32 normAngle)) (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 #s(literal 1/2 binary32) (*.f32 normAngle normAngle)) (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle))))))) (/.f32 (*.f32 (fma.f32 (neg.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) n0_i) (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) n0_i)) u (fma.f32 (neg.f32 (-.f32 (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (/.f32 (*.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) (sin.f32 normAngle)))) (/.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))) n0_i) (*.f32 (/.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))))) u (neg.f32 (-.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (*.f32 n0_i n0_i))) (*.f32 (/.f32 (cos.f32 normAngle) n0_i) (/.f32 normAngle (sin.f32 normAngle)))))) u (/.f32 #s(literal 1 binary32) n0_i)) |
(pow n0_i 2) |
(*.f32 n0_i n0_i) |
(+ (* -2 (* (pow n0_i 2) u)) (pow n0_i 2)) |
(fma.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal -2 binary32)) u (*.f32 n0_i n0_i)) |
(+ (* u (+ (* -2 (pow n0_i 2)) (* (pow n0_i 2) u))) (pow n0_i 2)) |
(fma.f32 (*.f32 (*.f32 n0_i n0_i) (+.f32 #s(literal -2 binary32) u)) u (*.f32 n0_i n0_i)) |
(* (pow n1_i 2) (pow u 2)) |
(*.f32 (*.f32 u u) (*.f32 n1_i n1_i)) |
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) n0_i) n1_i) u) |
(* -1 (* n0_i u)) |
(*.f32 (neg.f32 n0_i) u) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- n1_i (* -1 n0_i))) |
(*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) |
(* u (- (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))))) |
(*.f32 (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) u) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i))) (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))) (/.f32 n0_i u)))) u) |
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) u) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i))) (*.f32 (/.f32 n0_i (+.f32 n1_i n0_i)) (/.f32 n0_i (*.f32 u u)))) (-.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))) (/.f32 n0_i u))) (*.f32 n0_i (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 n1_i n0_i)))))) u) |
(* u (- (+ (* -1 (/ (pow n0_i 2) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* 2 (/ (pow n0_i 2) (* u (- n1_i (* -1 n0_i))))) (+ (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (- n1_i (* -1 n0_i)))))) (* (pow u 3) (- n1_i (* -1 n0_i)))) (/ (pow n1_i 2) (- n1_i (* -1 n0_i)))))) (+ (* -1 (/ (* n0_i (- (* 2 (/ (pow n0_i 2) (- n1_i (* -1 n0_i)))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- n1_i (* -1 n0_i)) 2))))) (* (pow u 2) (- n1_i (* -1 n0_i))))) (+ (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (* u (pow (- n1_i (* -1 n0_i)) 2)))) (/ (pow n0_i 2) (- n1_i (* -1 n0_i))))))) |
(*.f32 (-.f32 (-.f32 (fma.f32 (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal -1 binary32) (*.f32 n0_i (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))))) (+.f32 n1_i n0_i)))) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (+.f32 n1_i n0_i)) (fma.f32 (/.f32 #s(literal 2 binary32) (+.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i n0_i) u) (/.f32 (*.f32 n1_i n1_i) (+.f32 n1_i n0_i)))) (*.f32 (/.f32 n0_i (+.f32 n1_i n0_i)) (/.f32 n0_i (*.f32 u u)))) (-.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (*.f32 (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))) (/.f32 n0_i u))) (*.f32 n0_i (/.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) #s(literal 2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (+.f32 n1_i n0_i) #s(literal 2 binary32))))) (*.f32 (*.f32 u u) (+.f32 n1_i n0_i)))))) u) |
(* u (- n1_i (* -1 n0_i))) |
(*.f32 (+.f32 n1_i n0_i) u) |
(* u (- (+ n1_i (* -1 (/ n0_i u))) (* -1 n0_i))) |
(*.f32 (+.f32 (-.f32 n1_i (/.f32 n0_i u)) n0_i) u) |
(* (pow u 2) (- (pow n1_i 2) (pow n0_i 2))) |
(*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i))) |
(* (pow u 2) (- (+ (* 2 (/ (pow n0_i 2) u)) (pow n1_i 2)) (pow n0_i 2))) |
(*.f32 (-.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal 2 binary32) (*.f32 n1_i n1_i)) (*.f32 n0_i n0_i)) (*.f32 u u)) |
(* (pow u 2) (- (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (pow n1_i 2)) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2)))) |
(*.f32 (-.f32 (-.f32 (*.f32 n1_i n1_i) (*.f32 (/.f32 n0_i u) (/.f32 n0_i u))) (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal -2 binary32) (*.f32 n0_i n0_i))) (*.f32 u u)) |
(* (pow n0_i 2) (pow u 2)) |
(*.f32 (*.f32 u u) (*.f32 n0_i n0_i)) |
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (pow n0_i 2))) |
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal -2 binary32) (*.f32 n0_i n0_i)) (*.f32 u u)) |
(* (pow u 2) (+ (* -2 (/ (pow n0_i 2) u)) (+ (/ (pow n0_i 2) (pow u 2)) (pow n0_i 2)))) |
(*.f32 (fma.f32 (/.f32 (*.f32 n0_i n0_i) u) #s(literal -2 binary32) (fma.f32 (/.f32 n0_i u) (/.f32 n0_i u) (*.f32 n0_i n0_i))) (*.f32 u u)) |
(* -1 (* normAngle u)) |
(*.f32 (neg.f32 u) normAngle) |
(* u (+ (* -1 normAngle) (/ normAngle u))) |
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) |
(*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) |
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(* -1 (* u (- 1 (/ 1 u)))) |
(*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (neg.f32 u) (-.f32 n0_i n1_i)) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(*.f32 (neg.f32 u) (-.f32 n0_i (/.f32 n0_i u))) |
(* -1 (/ (* u (- (pow n1_i 2) (pow n0_i 2))) (- (* -1 n1_i) n0_i))) |
(*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) |
(* -1 (* u (- (+ (* -1 (/ (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) (neg.f32 u)) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))) |
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 (/.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) n0_i) (+.f32 n1_i n0_i))) u) #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32)))))) (neg.f32 u)) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))) |
(* -1 (* u (- (+ (* -1 (/ (- (+ (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (- (+ (* -1 (/ (* n0_i (- (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i))))) (* u (- (* -1 n1_i) n0_i)))) (* -1 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i)))) (* -1 (/ (* n0_i (- (* -2 (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2))))) (- (* -1 n1_i) n0_i)))) u))) (* -1 (/ (* n0_i (- (pow n1_i 2) (pow n0_i 2))) (pow (- (* -1 n1_i) n0_i) 2)))) u)) (/ (pow n1_i 2) (- (* -1 n1_i) n0_i))) (/ (pow n0_i 2) (- (* -1 n1_i) n0_i))))) |
(fma.f32 (neg.f32 u) (/.f32 (fma.f32 (/.f32 (-.f32 (+.f32 (/.f32 (*.f32 (-.f32 (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i)) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) n0_i) (+.f32 n1_i n0_i))) n0_i) (*.f32 (+.f32 n1_i n0_i) u)) (/.f32 (*.f32 n0_i n0_i) (+.f32 n1_i n0_i))) (/.f32 (*.f32 (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32))))) n0_i) (+.f32 n1_i n0_i))) u) #s(literal -1 binary32) (fma.f32 (/.f32 (*.f32 (neg.f32 n0_i) n0_i) (+.f32 n1_i n0_i)) #s(literal -2 binary32) (*.f32 n0_i (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (pow.f32 (-.f32 (neg.f32 n1_i) n0_i) #s(literal 2 binary32)))))) (neg.f32 u)) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i)))) |
(* -1 (* u (- (* -1 n1_i) n0_i))) |
(*.f32 (+.f32 n1_i n0_i) u) |
(* -1 (* u (- (+ (* -1 n1_i) (/ n0_i u)) n0_i))) |
(*.f32 (neg.f32 u) (-.f32 (-.f32 (/.f32 n0_i u) n1_i) n0_i)) |
(* (pow u 2) (- (+ (* -1 (/ (- (/ (pow n0_i 2) u) (* 2 (pow n0_i 2))) u)) (pow n1_i 2)) (pow n0_i 2))) |
(*.f32 (-.f32 (fma.f32 n1_i n1_i (/.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 2 binary32)) (/.f32 (*.f32 n0_i n0_i) u)) u)) (*.f32 n0_i n0_i)) (*.f32 u u)) |
(/ 1 (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))) |
(/.f32 #s(literal 1 binary32) (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))) |
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (/ (pow n0_i 2) u)) (* 2 (pow n0_i 2))) u)) (pow n0_i 2))) |
(*.f32 (-.f32 (*.f32 n0_i n0_i) (/.f32 (-.f32 (*.f32 (*.f32 n0_i n0_i) #s(literal 2 binary32)) (/.f32 (*.f32 n0_i n0_i) u)) u)) (*.f32 u u)) |
(* -1 (* u (+ normAngle (* -1 (/ normAngle u))))) |
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) |
(+ (* -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 (- (+ 1 (* n0_i (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u)) |
(fma.f32 (fma.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) (neg.f32 u)) (*.f32 (/.f32 (-.f32 u #s(literal 1 binary32)) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) u))) n0_i (-.f32 #s(literal 1 binary32) u)) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- (+ 1 (* n0_i (- (+ (* -1 (/ (* n0_i (* (- u 1) (- (* -1 (/ (pow (- 1 u) 2) (* n1_i u))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) (* n1_i u))) (* -1 (/ (pow (- 1 u) 2) (* n1_i u)))) (/ (* (- 1 u) (- u 1)) (* n1_i u))))) u)) (* n1_i u)) |
(fma.f32 (-.f32 (fma.f32 (-.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (-.f32 u #s(literal 1 binary32)) n0_i) n1_i) (/.f32 (-.f32 (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) (neg.f32 u)) (*.f32 (/.f32 (-.f32 u #s(literal 1 binary32)) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) u))) u) (/.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) u))) (*.f32 (/.f32 (-.f32 u #s(literal 1 binary32)) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) u))) n0_i #s(literal 1 binary32)) u) n0_i (*.f32 n1_i u)) |
(+ (* n0_i (- u 1)) (* n1_i u)) |
(fma.f32 (-.f32 u #s(literal 1 binary32)) n0_i (*.f32 n1_i u)) |
(+ (* -1 (* (pow n0_i 2) (pow (- 1 u) 2))) (* (pow n1_i 2) (pow u 2))) |
(fma.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (*.f32 u u) (*.f32 n1_i n1_i))) |
(/ (sin normAngle) (* n1_i (sin (* normAngle u)))) |
(/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u))) |
(+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(-.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.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 n1_i)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))) |
(+ (* n0_i (- (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(fma.f32 (fma.f32 (/.f32 (*.f32 n0_i (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 n1_i #s(literal 3 binary32))) (*.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i n1_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))))) n0_i (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u)))) |
(+ (* n0_i (- (* n0_i (- (* -1 (/ (* n0_i (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 4) (pow (sin (* normAngle u)) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2)) (* (pow n1_i 3) (pow (sin (* normAngle u)) 3)))))) (/ (* (sin normAngle) (sin (* normAngle (- 1 u)))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 2))))) (/ (sin normAngle) (* n1_i (sin (* normAngle u))))) |
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 n0_i (pow.f32 n1_i #s(literal 4 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 4 binary32))) (*.f32 (/.f32 (sin.f32 normAngle) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) n0_i (*.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i n1_i))) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))))) n0_i (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 (*.f32 normAngle u)))) |
(* (pow n0_i 2) (pow (- 1 u) 2)) |
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i)) |
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) |
(*.f32 (fma.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 n1_i n0_i) (/.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 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 (- (/ n1_i n0_i) 1)) |
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) |
(* -1 (/ (* n0_i (pow (- 1 u) 2)) (- u 1))) |
(*.f32 (neg.f32 n0_i) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) |
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(* n0_i (- (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1)))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3)))))) |
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(* n0_i (- (+ (* -1 (/ (* n1_i (* u (- (/ (* (pow n1_i 2) (pow u 2)) (- u 1)) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (pow (- u 1) 3))))) (* (pow n0_i 3) (- u 1)))) (+ (* -1 (/ (pow (- 1 u) 2) (- u 1))) (/ (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (- u 1))))) (+ (* -1 (/ (* n1_i (* u (pow (- 1 u) 2))) (* n0_i (pow (- u 1) 2)))) (/ (* (pow n1_i 2) (* (pow u 2) (pow (- 1 u) 2))) (* (pow n0_i 2) (pow (- u 1) 3)))))) |
(*.f32 (fma.f32 (neg.f32 (/.f32 n1_i (pow.f32 n0_i #s(literal 3 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 n1_i n1_i) (-.f32 (/.f32 (*.f32 u u) (-.f32 u #s(literal 1 binary32))) (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 u u)) (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 3 binary32))))) u) (-.f32 u #s(literal 1 binary32))) (-.f32 (-.f32 (*.f32 (/.f32 (*.f32 n1_i n1_i) (-.f32 u #s(literal 1 binary32))) (*.f32 (/.f32 u n0_i) (/.f32 u n0_i))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 u u) (*.f32 n1_i n1_i)) (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 3 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 n0_i n0_i))) (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) n0_i) (/.f32 n1_i (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32))))))) n0_i) |
(* n0_i (- u 1)) |
(*.f32 (-.f32 u #s(literal 1 binary32)) n0_i) |
(* n0_i (- (+ u (/ (* n1_i u) n0_i)) 1)) |
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) u) #s(literal 1 binary32)) n0_i) |
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(*.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) |
(* (pow n0_i 2) (- (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)) (pow (- 1 u) 2))) |
(*.f32 (-.f32 (*.f32 (/.f32 (*.f32 u u) n0_i) (/.f32 (*.f32 n1_i n1_i) n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))) (*.f32 n0_i n0_i)) |
(/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u))))) |
(/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) |
(/ (+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) n0_i) |
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(/ (- (+ (/ (sin normAngle) (sin (* normAngle (- 1 u)))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2)))) n0_i) |
(/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n1_i n1_i) (sin.f32 normAngle)) (*.f32 n0_i n0_i)) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (*.f32 (/.f32 (*.f32 n1_i (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))) n0_i) |
(/ (- (+ (* -1 (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 4)))) (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (+ (* -1 (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 3)))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* n0_i (pow (sin (* normAngle (- 1 u))) 2))))) n0_i) |
(/.f32 (-.f32 (-.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (*.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 4 binary32)) (pow.f32 n0_i #s(literal 3 binary32))))) (-.f32 (*.f32 (/.f32 (*.f32 n1_i (sin.f32 normAngle)) n0_i) (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 n1_i n1_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) (*.f32 n0_i n0_i))))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
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(*.f32 (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) |
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(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* n0_i (pow (sin (* normAngle (- 1 u))) 3))) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 n1_i n1_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)) n0_i)) (/.f32 (*.f32 (*.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 n0_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle (- 1 u))))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n1_i 3) (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* n0_i (pow (sin (* normAngle (- 1 u))) 4))) (/ (* (pow n1_i 2) (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (pow (sin (* normAngle (- 1 u))) 3))) n0_i)) (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (pow (sin (* normAngle (- 1 u))) 2))) n0_i))) n0_i)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 n1_i #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 4 binary32)) n0_i)) (/.f32 (*.f32 (*.f32 (*.f32 n1_i n1_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32)))) (neg.f32 n0_i)) (/.f32 (*.f32 (*.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (neg.f32 n0_i)) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(- (* n1_i u) (* n0_i (- 1 u))) |
(-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(- (* (pow n1_i 2) (pow u 2)) (* (pow n0_i 2) (pow (- 1 u) 2))) |
(fma.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (*.f32 (*.f32 u u) (*.f32 n1_i n1_i))) |
(+ (* -1 (/ (* n1_i (* (sin normAngle) (sin (* normAngle u)))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2)))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(-.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (/.f32 (*.f32 (*.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i n0_i)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) |
(+ (* n1_i (- (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 2))) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(fma.f32 (fma.f32 (/.f32 (*.f32 n1_i (sin.f32 normAngle)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (*.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i n0_i))) (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))) n1_i (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) |
(+ (* n1_i (- (* n1_i (- (* -1 (/ (* n1_i (* (sin normAngle) (pow (sin (* normAngle u)) 3))) (* (pow n0_i 4) (pow (sin (* normAngle (- 1 u))) 4)))) (* -1 (/ (* (sin normAngle) (pow (sin (* normAngle u)) 2)) (* (pow n0_i 3) (pow (sin (* normAngle (- 1 u))) 3)))))) (/ (* (sin normAngle) (sin (* normAngle u))) (* (pow n0_i 2) (pow (sin (* normAngle (- 1 u))) 2))))) (/ (sin normAngle) (* n0_i (sin (* normAngle (- 1 u)))))) |
(fma.f32 (fma.f32 (fma.f32 (neg.f32 (/.f32 n1_i (pow.f32 n0_i #s(literal 4 binary32)))) (/.f32 (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 4 binary32))) (*.f32 (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)) (pow.f32 n0_i #s(literal 3 binary32))) (/.f32 (sin.f32 normAngle) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))))) n1_i (*.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i n0_i))) (/.f32 (sin.f32 (*.f32 normAngle u)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))))) n1_i (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) 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 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i) |
(* n1_i (+ u (* -1 (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i u) n1_i)) n1_i) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 n0_i n1_i)) n1_i) |
(* n1_i (+ u (* -1 (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (-.f32 u (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i)) n1_i) |
(* (pow n1_i 2) (+ (* -1 (/ (* (pow n0_i 2) (pow (- 1 u) 2)) (pow n1_i 2))) (pow u 2))) |
(*.f32 (-.f32 (*.f32 u u) (*.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) n1_i) (/.f32 (*.f32 n0_i n0_i) n1_i))) (*.f32 n1_i n1_i)) |
(/ (+ (* -1 (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) (/ (sin normAngle) (sin (* normAngle u)))) n1_i) |
(/.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i) |
(/ (- (+ (/ (sin normAngle) (sin (* normAngle u))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i) |
(/.f32 (-.f32 (fma.f32 (/.f32 (*.f32 (*.f32 n0_i n0_i) (sin.f32 normAngle)) (*.f32 n1_i n1_i)) (/.f32 (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))))) n1_i) |
(/ (- (+ (* -1 (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* (pow n1_i 3) (pow (sin (* normAngle u)) 4)))) (/ (sin normAngle) (sin (* normAngle u)))) (+ (* -1 (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* (pow n1_i 2) (pow (sin (* normAngle u)) 3)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2))))) n1_i) |
(/.f32 (-.f32 (-.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) (/.f32 (*.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 4 binary32)) (pow.f32 n1_i #s(literal 3 binary32))))) (-.f32 (*.f32 (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))) (/.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) (*.f32 n1_i n1_i))))) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (neg.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i u) n1_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i u) n1_i) u) (neg.f32 n1_i)) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(*.f32 (-.f32 (/.f32 n0_i n1_i) #s(literal 1 binary32)) (neg.f32 n1_i)) |
(* -1 (* n1_i (+ (* -1 u) (/ (* n0_i (- 1 u)) n1_i)))) |
(*.f32 (-.f32 (/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) n1_i) u) (neg.f32 n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (* n1_i (pow (sin (* normAngle u)) 2)))) n1_i)) |
(/.f32 (fma.f32 (/.f32 (*.f32 n0_i (sin.f32 normAngle)) n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32))) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (* n1_i (pow (sin (* normAngle u)) 3))) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)) n1_i)) (/.f32 (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))) (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i)) |
(* -1 (/ (+ (* -1 (/ (sin normAngle) (sin (* normAngle u)))) (* -1 (/ (- (* -1 (/ (- (/ (* (pow n0_i 3) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 3))) (* n1_i (pow (sin (* normAngle u)) 4))) (/ (* (pow n0_i 2) (* (sin normAngle) (pow (sin (* normAngle (- 1 u))) 2))) (pow (sin (* normAngle u)) 3))) n1_i)) (/ (* n0_i (* (sin normAngle) (sin (* normAngle (- 1 u))))) (pow (sin (* normAngle u)) 2))) n1_i))) n1_i)) |
(/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (-.f32 (/.f32 (*.f32 (*.f32 (pow.f32 n0_i #s(literal 3 binary32)) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 3 binary32))) (*.f32 (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 4 binary32)) n1_i)) (/.f32 (*.f32 (*.f32 (*.f32 n0_i n0_i) (sin.f32 normAngle)) (pow.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 3 binary32)))) (neg.f32 n1_i)) (/.f32 (*.f32 (*.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (sin.f32 (*.f32 normAngle u)) #s(literal 2 binary32)))) (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) (neg.f32 n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 401 |
| 0 | 77 | 343 |
| 1 | 291 | 343 |
| 2 | 1896 | 343 |
| 0 | 8280 | 333 |
| 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 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n1_i u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(/.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 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (-.f32 (pow.f32 (*.f32 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 (pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) (pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #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 #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))))) |
(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 n0_i (sin.f32 normAngle)) |
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) |
(pow.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) |
(pow.f32 (*.f32 n1_i u) #s(literal 2 binary32)) |
(*.f32 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)))) |
(/.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))) (fma.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (-.f32 (*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))) (pow.f32 (*.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))) #s(literal 2 binary32)))) |
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(*.f32 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 (*.f32 normAngle #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (neg.f32 u)) #s(literal 3 binary32))) (fma.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 normAngle (neg.f32 u)) (*.f32 normAngle (neg.f32 u))) (*.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u)))))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (+.f32 u #s(literal 1 binary32))) |
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) |
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u))) |
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 (neg.f32 u) normAngle)) |
(+.f32 (*.f32 #s(literal 1 binary32) normAngle) (*.f32 (neg.f32 u) normAngle)) |
(+.f32 (*.f32 normAngle #s(literal 1 binary32)) (*.f32 normAngle (neg.f32 u))) |
Compiled 65 692 to 4 570 computations (93% saved)
38 alts after pruning (34 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 043 | 22 | 1 065 |
| Fresh | 17 | 12 | 29 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 062 | 38 | 1 100 |
| Status | Accuracy | Program |
|---|---|---|
| 52.0% | (fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| 55.4% | (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| 99.1% | (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) 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)) | |
| 96.6% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) #s(literal -1 binary32))) n1_i)) | |
| ✓ | 99.2% | (+.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)) |
| ▶ | 99.2% | (+.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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
| 83.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 40.3% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| 43.8% | #s(approx (+ (* (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| ▶ | 43.8% | #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)) |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 u n1_i))) | |
| ✓ | 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) | |
| ▶ | 55.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 55.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 55.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 40.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) | |
| 54.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i)))) | |
| 47.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 (neg.f32 n0_i) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) | |
| 36.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) | |
| 47.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 97.2% | #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 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))) | |
| 97.7% | #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 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u))))) | |
| 81.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32))))) | |
| ▶ | 25.8% | #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 (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)))))))) |
| ✓ | 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 97.3% | #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 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u))))) | |
| ▶ | 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
| 97.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) n0_i) (/.f32 n1_i (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) n0_i))) | |
| 37.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))))) | |
| 8.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u)))) | |
| 40.8% | #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 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u))) | |
| ✓ | 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
| 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) | |
| 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u))) |
Compiled 2 946 to 1 825 computations (38.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 64 | (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) | |
| cost-diff | 64 | (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.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))))))) | |
| cost-diff | 96 | (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 160 | (*.f32 (neg.f32 u) #s(literal 1 binary32)) | |
| cost-diff | 0 | (*.f32 n1_i u) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) | |
| cost-diff | 64 | (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))) | |
| cost-diff | 352 | (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| cost-diff | 160 | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| cost-diff | 0 | (-.f32 n1_i n0_i) | |
| cost-diff | 0 | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| cost-diff | 0 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) | |
| cost-diff | 0 | (-.f32 #s(literal 1 binary32) u) | |
| cost-diff | 0 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) | |
| cost-diff | 0 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| cost-diff | 64 | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 457 |
| 0 | 82 | 437 |
| 1 | 143 | 398 |
| 2 | 251 | 394 |
| 3 | 592 | 386 |
| 4 | 1476 | 380 |
| 5 | 2657 | 380 |
| 6 | 4362 | 380 |
| 7 | 6039 | 380 |
| 8 | 6991 | 380 |
| 9 | 7343 | 380 |
| 10 | 7400 | 380 |
| 11 | 7490 | 380 |
| 12 | 7926 | 380 |
| 0 | 8031 | 371 |
| 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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
u |
n0_i |
(*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) |
(*.f32 normAngle (/.f32 u (sin.f32 normAngle))) |
normAngle |
(/.f32 u (sin.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 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
u |
n1_i |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))) |
(*.f32 n1_i u) |
n1_i |
u |
#s(approx (* n0_i (- 1 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 |
#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 (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)))))))) |
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.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))))))) |
(*.f32 n1_i u) |
n1_i |
u |
(*.f32 n0_i (/.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 (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))))) |
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) |
#s(literal -1 binary32) |
(pow.f32 u #s(literal 3 binary32)) |
#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 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) |
(*.f32 (neg.f32 u) #s(literal 1 binary32)) |
(neg.f32 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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)) (*.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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i) |
(*.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) |
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)) |
(*.f32 normAngle (/.f32 u (sin.f32 normAngle))) |
(*.f32 (/.f32 u (sin.f32 normAngle)) normAngle) |
normAngle |
(/.f32 u (sin.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 n1_i n0_i) u n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(-.f32 n1_i n0_i) |
n1_i |
n0_i |
u |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 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 n1_i n0_i) u n0_i)) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
u |
n1_i |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
n0_i |
(-.f32 #s(literal 1 binary32) u) |
#s(literal 1 binary32) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 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)) (fma.f32 n1_i u #s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))) |
(fma.f32 n1_i u #s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n1_i u) |
n1_i |
u |
#s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)) |
#s(approx (* n0_i (- 1 u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(-.f32 (/.f32 n0_i u) n0_i) |
(/.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)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.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)))))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 n1_i u))) |
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.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))))))) |
(fma.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 n1_i u)) |
(*.f32 n1_i u) |
n1_i |
u |
(*.f32 n0_i (/.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)))))) |
(*.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) |
n0_i |
(/.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))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) |
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) |
#s(literal -1 binary32) |
(pow.f32 u #s(literal 3 binary32)) |
#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)))) |
(fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) |
(-.f32 u #s(literal -1 binary32)) |
(*.f32 (neg.f32 u) #s(literal 1 binary32)) |
(neg.f32 u) |
(neg.f32 u) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.35384750976844204 | (/.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))))) | |
| accuracy | 0.6384257185736955 | #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 (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)))))))) | |
| accuracy | 4.690496247602338 | (fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) | |
| accuracy | 29.510977481528446 | (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))) | |
| accuracy | 0.09765625 | (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))) | |
| accuracy | 0.21779252930532603 | (-.f32 (/.f32 n0_i u) n0_i) | |
| accuracy | 0.21875 | (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) | |
| accuracy | 0.6384257185736955 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) | |
| accuracy | 0 | (-.f32 #s(literal 1 binary32) u) | |
| accuracy | 0.12109375 | (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) | |
| accuracy | 0.6384257185736955 | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| accuracy | 15.434069979573604 | (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) | |
| accuracy | 0 | (-.f32 n1_i n0_i) | |
| accuracy | 0.6384257185736955 | #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)) | |
| accuracy | 18.91874810779459 | (fma.f32 (-.f32 n1_i n0_i) u n0_i) | |
| accuracy | 0.1171875 | (+.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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) | |
| accuracy | 0.12890625 | (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) | |
| accuracy | 0.140625 | (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) | |
| accuracy | 0.19563046272868168 | #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
| 126.0ms | 247× | 0 | valid |
| 5.0ms | 9× | 1 | valid |
Compiled 820 to 98 computations (88% saved)
ival-mult: 22.0ms (34.7% of total)ival-add: 19.0ms (30% of total)ival-div: 7.0ms (11% of total)ival-sin: 6.0ms (9.5% of total)ival-sub: 5.0ms (7.9% of total)ival-pow: 2.0ms (3.2% of total)adjust: 1.0ms (1.6% of total)ival-neg: 1.0ms (1.6% 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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(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 n1_i n0_i) u n0_i) |
(-.f32 n1_i n0_i) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
(*.f32 n1_i u) |
(*.f32 (neg.f32 u) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) |
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.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))))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) |
(*.f32 normAngle (/.f32 u (sin.f32 normAngle))) |
(-.f32 (/.f32 n0_i u) n0_i) |
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))) |
#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 (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)))))))) |
(/.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))))) |
| Outputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
u |
(+ u (* 1/6 (* (pow normAngle 2) u))) |
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 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)) |
(/ (* 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 n0_i))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* -1 (* n0_i u))) |
(* n1_i u) |
(* -1 u) |
(+ 1 (* -1 (pow u 3))) |
(+ n0_i (* u (- (+ n1_i (* -1 (* u (+ n0_i (* -1 n0_i))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* u (- (* u (+ n0_i (* -1 n0_i))) (+ n0_i (* -1 n0_i))))) n0_i))) |
(+ 1 u) |
(/ n0_i u) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(+ 1 (* u (+ 1 u))) |
(* u (- (/ 1 u) 1)) |
(* u (- n1_i n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (/ 1 (pow u 3)) 1)) |
(* u (- (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ n0_i (* -1 n0_i)) (pow u 2))))) (* -1 (/ n0_i u)))) |
(* u (- (+ n1_i (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 3))) (/ n0_i (pow u 3))))) (+ (* -1 (/ n0_i u)) (+ (* -1 (/ n0_i (pow u 2))) (/ n0_i (pow u 2)))))) |
(* u (+ 1 (/ 1 u))) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(pow u 2) |
(* (pow u 2) (+ 1 (/ 1 u))) |
(* (pow u 2) (+ 1 (+ (/ 1 u) (/ 1 (pow u 2))))) |
(+ (/ (* 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 (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* (pow u 3) (- 1 (/ 1 (pow u 3))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (+ (* -1 (/ n0_i u)) (/ n0_i u)) (* -1 n0_i)) u)))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- n0_i (+ (* -1 n0_i) (* 2 n0_i))) u)) (+ n0_i (* -1 n0_i))) u)) (* -1 n0_i)) u)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(+ (* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (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 (* -1 u))) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u))))) |
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (+ (/ 1 (- (+ 1 (pow u 2)) (* -1 u))) (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- u 1))) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (+ 1 (* -1 (pow u 3))) (- (+ 1 (pow u 2)) (* -1 u))))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(- n1_i n0_i) |
(+ (* n1_i u) (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u)))))))) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 37.0ms | 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)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1))))) |
| 16.0ms | 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)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1))))) |
| 5.0ms | u | @ | -inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) 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)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1))))) |
| 4.0ms | n0_i | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1))))) |
| 4.0ms | u | @ | inf | ((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- n1_i n0_i) u) n0_i) (- n1_i n0_i) (+ (* u n1_i) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n0_i (- 1 u)) (* (- (/ n0_i u) n0_i) u) (+ (* n1_i u) (* n0_i (- 1 u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* n1_i u) (* (neg u) 1) (+ (* -1 (pow u 3)) 1) (+ (* n1_i u) (* n0_i (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1)))))) (- 1 (* (neg u) 1)) (* normAngle (/ u (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* u u) (- 1 (* (neg u) 1))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (+ (* -1 (pow u 3)) 1) (+ (* u u) (- 1 (* (neg u) 1))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 478 | 1968 |
| 1 | 1581 | 1795 |
| 2 | 5432 | 1738 |
| 0 | 8497 | 1609 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* n0_i (- 1 u)) (* n1_i u)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(* n0_i (- 1 u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))) |
(- 1 u) |
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
u |
(+ u (* 1/6 (* (pow normAngle 2) u))) |
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 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)) |
(/ (* 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 n0_i))) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(+ n0_i (* -1 (* n0_i u))) |
(* n1_i u) |
(* -1 u) |
(+ 1 (* -1 (pow u 3))) |
(+ n0_i (* u (- (+ n1_i (* -1 (* u (+ n0_i (* -1 n0_i))))) n0_i))) |
(+ n0_i (* u (- (+ n1_i (* u (- (* u (+ n0_i (* -1 n0_i))) (+ n0_i (* -1 n0_i))))) n0_i))) |
(+ 1 u) |
(/ n0_i u) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(+ 1 (* u (+ 1 u))) |
(* u (- (/ 1 u) 1)) |
(* u (- n1_i n0_i)) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(* u (+ n1_i (* -1 n0_i))) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(* -1 (* n0_i u)) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(* -1 (pow u 3)) |
(* (pow u 3) (- (/ 1 (pow u 3)) 1)) |
(* u (- (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ n0_i (* -1 n0_i)) (pow u 2))))) (* -1 (/ n0_i u)))) |
(* u (- (+ n1_i (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 3))) (/ n0_i (pow u 3))))) (+ (* -1 (/ n0_i u)) (+ (* -1 (/ n0_i (pow u 2))) (/ n0_i (pow u 2)))))) |
(* u (+ 1 (/ 1 u))) |
(* -1 n0_i) |
(- (/ n0_i u) n0_i) |
(pow u 2) |
(* (pow u 2) (+ 1 (/ 1 u))) |
(* (pow u 2) (+ 1 (+ (/ 1 u) (/ 1 (pow u 2))))) |
(+ (/ (* 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 (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(* -1 (* (pow u 3) (- 1 (/ 1 (pow u 3))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (+ (* -1 (/ n0_i u)) (/ n0_i u)) (* -1 n0_i)) u)))))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- n0_i (+ (* -1 n0_i) (* 2 n0_i))) u)) (+ n0_i (* -1 n0_i))) u)) (* -1 n0_i)) u)))))) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(* n0_i (* u (- (/ 1 u) 1))) |
(+ (* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (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 (* -1 u))) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u))))) |
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (+ (/ 1 (- (+ 1 (pow u 2)) (* -1 u))) (/ (* n1_i u) n0_i)))) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(* -1 (* n0_i (- u 1))) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (+ 1 (* -1 (pow u 3))) (- (+ 1 (pow u 2)) (* -1 u))))))) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(- n1_i n0_i) |
(+ (* n1_i u) (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u)))) |
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) |
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i))) |
(* n1_i (+ u (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u)))))) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(* -1 (* n1_i (- (/ n0_i n1_i) 1))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i))))) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u)))))))) |
| 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 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u))))))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) #s(literal -1/6 binary32) (*.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (fma.f32 (-.f32 (*.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (*.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (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)) (*.f32 #s(literal -1/120 binary32) (*.f32 n1_i u))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (*.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))))))) (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (*.f32 #s(literal -1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (*.f32 normAngle normAngle)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) |
(* n0_i (- 1 u)) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))) |
(fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 normAngle normAngle) (*.f32 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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))) (*.f32 normAngle normAngle) (*.f32 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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (*.f32 n0_i (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 #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 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32))) (*.f32 (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)) n0_i))) (*.f32 normAngle normAngle) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)))) (*.f32 normAngle normAngle) (*.f32 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) |
(-.f32 (fma.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u) |
(-.f32 (fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (*.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (*.f32 normAngle normAngle) (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) u) #s(literal 1 binary32)) (fma.f32 #s(literal -1/120 binary32) u #s(literal 1/120 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) #s(literal 1 binary32)) u) |
u |
(+ u (* 1/6 (* (pow normAngle 2) u))) |
(fma.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 1/6 binary32) u) |
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(fma.f32 (fma.f32 #s(literal 1/6 binary32) u (*.f32 (*.f32 (*.f32 normAngle normAngle) u) #s(literal 7/360 binary32))) (*.f32 normAngle normAngle) u) |
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) |
(fma.f32 (fma.f32 (-.f32 (*.f32 #s(literal 7/360 binary32) u) (*.f32 (*.f32 (fma.f32 u #s(literal 1/840 binary32) (*.f32 u #s(literal -7/2160 binary32))) normAngle) normAngle)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u)) (*.f32 normAngle normAngle) u) |
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) |
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))) |
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) |
(/ (sin (* normAngle (- 1 u))) (sin normAngle)) |
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) |
(/ (* normAngle u) (sin normAngle)) |
(*.f32 (/.f32 u (sin.f32 normAngle)) 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 (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 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) |
(fma.f32 (*.f32 (neg.f32 normAngle) (*.f32 (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 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.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 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32))) u) (*.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))) |
(fma.f32 (neg.f32 normAngle) (*.f32 (cos.f32 normAngle) (/.f32 u (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 #s(literal -1/2 binary32) (*.f32 (*.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 (*.f32 (*.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle))) u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32)) |
(+ 1 (* -1 u)) |
(-.f32 #s(literal 1 binary32) u) |
(+ n0_i (* u (- n1_i n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (+ n1_i (* -1 n0_i)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* -1 (* n0_i u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* n1_i u) |
(*.f32 n1_i u) |
(* -1 u) |
(neg.f32 u) |
(+ 1 (* -1 (pow u 3))) |
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) |
(+ n0_i (* u (- (+ n1_i (* -1 (* u (+ n0_i (* -1 n0_i))))) n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ n0_i (* u (- (+ n1_i (* u (- (* u (+ n0_i (* -1 n0_i))) (+ n0_i (* -1 n0_i))))) n0_i))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(+ 1 u) |
(-.f32 u #s(literal -1 binary32)) |
(/ n0_i u) |
(/.f32 n0_i u) |
(/ (+ n0_i (* -1 (* n0_i u))) u) |
(/.f32 (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) u) |
(+ 1 (* u (+ 1 u))) |
(fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)) |
(* u (- (/ 1 u) 1)) |
(-.f32 #s(literal 1 binary32) u) |
(* u (- n1_i n0_i)) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (- (+ n1_i (/ n0_i u)) n0_i)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (+ n1_i (* -1 n0_i))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* -1 (* n0_i u)) |
(*.f32 (neg.f32 n0_i) u) |
(* u (+ (* -1 n0_i) (/ n0_i u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* -1 (pow u 3)) |
(neg.f32 (pow.f32 u #s(literal 3 binary32))) |
(* (pow u 3) (- (/ 1 (pow u 3)) 1)) |
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) |
(* u (- (+ n1_i (+ (* -1 n0_i) (* -1 (/ (+ n0_i (* -1 n0_i)) (pow u 2))))) (* -1 (/ n0_i u)))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (- (+ n1_i (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 3))) (/ n0_i (pow u 3))))) (+ (* -1 (/ n0_i u)) (+ (* -1 (/ n0_i (pow u 2))) (/ n0_i (pow u 2)))))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* u (+ 1 (/ 1 u))) |
(-.f32 u #s(literal -1 binary32)) |
(* -1 n0_i) |
(neg.f32 n0_i) |
(- (/ n0_i u) n0_i) |
(-.f32 (/.f32 n0_i u) n0_i) |
(pow u 2) |
(*.f32 u u) |
(* (pow u 2) (+ 1 (/ 1 u))) |
(fma.f32 u u u) |
(* (pow u 2) (+ 1 (+ (/ 1 u) (/ 1 (pow u 2))))) |
(fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)) |
(+ (/ (* 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 #s(literal 1 binary32) u) |
(* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* -1 (* u (+ n0_i (* -1 n1_i)))) |
(*.f32 (-.f32 n1_i n0_i) u) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u)))))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* -1 (* u (+ n0_i (* -1 (/ n0_i u))))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* -1 (* (pow u 3) (- 1 (/ 1 (pow u 3))))) |
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (+ (* -1 (/ n0_i u)) (/ n0_i u)) (* -1 n0_i)) u)))))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- n0_i (+ (* -1 n0_i) (* 2 n0_i))) u)) (+ n0_i (* -1 n0_i))) u)) (* -1 n0_i)) u)))))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(/ (* n1_i (sin (* normAngle u))) (sin normAngle)) |
(*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) |
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u)) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
n1_i |
(+ n1_i (* -1 n0_i)) |
(-.f32 n1_i n0_i) |
(* n0_i (* u (- (/ 1 u) 1))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(+ (* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u))))) (* n1_i u)) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) n0_i (*.f32 n1_i u)) |
(* n0_i (- (/ 1 u) 1)) |
(-.f32 (/.f32 n0_i u) 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 (* -1 u))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))) |
(fma.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i n0_i) |
(* n0_i (- (/ n1_i n0_i) 1)) |
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) |
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u)) |
(fma.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i n0_i) |
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (/ 1 (- (+ 1 (pow u 2)) (* -1 u))))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)))) |
(* n0_i (+ (* -1 (/ (pow u 3) (- (+ 1 (pow u 2)) (* -1 u)))) (+ (/ 1 (- (+ 1 (pow u 2)) (* -1 u))) (/ (* n1_i u) n0_i)))) |
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)))) n0_i) |
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))) |
(*.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) |
(* -1 (* n0_i (- u 1))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1))) |
(fma.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i n0_i) |
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i))))) |
(*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) |
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i))))) |
(fma.f32 (-.f32 (/.f32 (*.f32 n1_i u) n0_i) u) n0_i n0_i) |
(* -1 (* n0_i (* u (- 1 (/ 1 u))))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u))) |
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)))) |
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (+ 1 (* -1 (pow u 3))) (- (+ 1 (pow u 2)) (* -1 u))))))) |
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32)))) n0_i) |
(* -1 (* n0_i (- 1 (/ 1 u)))) |
(-.f32 (/.f32 n0_i u) n0_i) |
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u))) |
(fma.f32 (-.f32 n1_i n0_i) u n0_i) |
(- n1_i n0_i) |
(-.f32 n1_i n0_i) |
(+ (* n1_i u) (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (- (+ 1 (pow u 2)) (* -1 u)))) |
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) n0_i (*.f32 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 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) 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 (/ (* 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 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u)))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) u) n1_i) |
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))) |
(*.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i 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 (/ (* n0_i (- 1 u)) n1_i))))) |
(*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u) n1_i) |
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (+ 1 (* -1 (pow u 3)))) (* n1_i (- (+ 1 (pow u 2)) (* -1 u)))))))) |
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))) u) n1_i) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 351 |
| 0 | 82 | 279 |
| 1 | 317 | 277 |
| 2 | 2295 | 277 |
| 0 | 8620 | 270 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) |
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) |
(-.f32 #s(literal 1 binary32) u) |
#s(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 n1_i n0_i) u n0_i) |
(-.f32 n1_i n0_i) |
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u)) |
(*.f32 (-.f32 (/.f32 n0_i u) n0_i) u) |
(+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
(*.f32 n1_i u) |
(*.f32 (neg.f32 u) #s(literal 1 binary32)) |
(fma.f32 #s(literal -1 binary32) (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) |
(+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.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))))))) |
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) |
(*.f32 normAngle (/.f32 u (sin.f32 normAngle))) |
(-.f32 (/.f32 n0_i u) n0_i) |
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))) |
#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 (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)))))))) |
(/.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))))) |
| 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 u (sin.f32 normAngle)) normAngle))) #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 u (sin.f32 normAngle)) normAngle)))))) |
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(/.f32 (neg.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32))) (neg.f32 (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32)))))) |
(/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u))) (neg.f32 (-.f32 #s(literal 1 binary32) u))) |
(/.f32 (*.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #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 9 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #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 u u)) (-.f32 #s(literal 1 binary32) u)) |
(/.f32 (-.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 u #s(literal 9 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (+.f32 (pow.f32 u #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 u #s(literal 3 binary32))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u))))) |
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (neg.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))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 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 #s(literal -1 binary32) (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))))) |
(/.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 (/.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 (pow.f32 u #s(literal 6 binary32)) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))))) |
(-.f32 (/.f32 #s(literal 0 binary32) (neg.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))) (neg.f32 (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))) |
(-.f32 (/.f32 (/.f32 (pow.f32 u #s(literal 6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u))))) |
(-.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u)))) (/.f32 (pow.f32 u #s(literal 3 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 u u) (neg.f32 u))))) |
(-.f32 (/.f32 (/.f32 (pow.f32 u #s(literal 6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32))) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(-.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 (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) u)) (/.f32 (*.f32 u u) (-.f32 #s(literal 1 binary32) u))) |
(-.f32 #s(literal 1 binary32) (neg.f32 u)) |
(-.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 #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 (neg.f32 u) #s(literal -1 binary32) #s(literal 1 binary32)) |
(fma.f32 (neg.f32 u) #s(literal 1 binary32) #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) (neg.f32 u) #s(literal 1 binary32)) |
(fma.f32 #s(literal 1 binary32) u #s(literal 1 binary32)) |
(pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (*.f32 u u))) #s(literal -1 binary32)) |
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) |
(+.f32 (neg.f32 u) #s(literal 1 binary32)) |
(+.f32 u #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (neg.f32 u)) |
(+.f32 #s(literal 1 binary32) u) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) |
(neg.f32 (/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 u (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))) |
(neg.f32 (/.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))))) |
Compiled 37 132 to 3 292 computations (91.1% saved)
32 alts after pruning (25 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 680 | 8 | 688 |
| Fresh | 12 | 17 | 29 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 694 | 32 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| 52.1% | (fma.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) | |
| 55.4% | (/.f32 #s(literal 1 binary32) #s(approx (/ 1 (+ (* (/ n0_i (sin normAngle)) (sin (* normAngle (- 1 u)))) (* n1_i (* (sin (* u normAngle)) (/ 1 (sin normAngle)))))) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))) | |
| 99.1% | (+.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 98.1% | (+.f32 (*.f32 #s(approx (* (sin (+ (* (neg u) normAngle) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) | |
| ✓ | 99.2% | (+.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)) |
| 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 u (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle))) n1_i)) | |
| ✓ | 99.2% | (+.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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
| 83.1% | (+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) | |
| 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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) | |
| 40.4% | (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (*.f32 normAngle u)) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) | |
| ✓ | 43.8% | #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)) |
| 54.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i)))) | |
| 36.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) | |
| 97.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)) | |
| 47.8% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 81.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32))))) | |
| 89.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))) | |
| ✓ | 26.3% | #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 (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)))))))) |
| ✓ | 97.5% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
| 97.3% | #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 #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (neg.f32 u))))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u)))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u)))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u)))) | |
| ✓ | 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (-.f32 (/.f32 n0_i u) n0_i) u)))) |
| 97.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 (-.f32 (*.f32 (/.f32 (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) u) n0_i) (/.f32 n1_i (pow.f32 (-.f32 u #s(literal 1 binary32)) #s(literal 2 binary32)))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32)) (-.f32 u #s(literal 1 binary32)))) n0_i))) | |
| 37.2% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))))) | |
| 55.6% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) | |
| 8.0% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 u n1_i (*.f32 (neg.f32 n0_i) u)))) | |
| ✓ | 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
| 97.3% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) | |
| 39.1% | #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u))) |
Compiled 4 719 to 1 239 computations (73.7% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 (+ (* (- n1_i n0_i) u) n0_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 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) 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)) (+.f32 (*.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)) (fma.f32 u n1_i (*.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)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
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#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 (*.f32 normAngle u)))) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (/.f32 (sin.f32 normAngle) n1_i)))) |
(/.f32 #s(literal 1 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 (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 #s(literal 1 binary32) (fma.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)))) (+.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 (-.f32 (pow.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 6 binary32)) (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 6 binary32))) (*.f32 (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle)) (+.f32 (+.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 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 4 binary32))) (pow.f32 (/.f32 (*.f32 (*.f32 n1_i (sin.f32 (*.f32 normAngle u))) (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (pow.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)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.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)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) #s(literal 2 binary32)) (*.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)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))) (/.f32 (pow.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle u))) #s(literal 2 binary32)) (/.f32 (-.f32 (*.f32 n0_i (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (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:
| 31.0ms | normAngle |
| 30.0ms | n0_i |
| 29.0ms | u |
| 29.0ms | (+.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)) |
| 23.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 (+ (* (- n1_i n0_i) u) n0_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 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) 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)) (+.f32 (*.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)) (fma.f32 u n1_i (*.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)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (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 #s(approx (- 1 u) (neg.f32 u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) (+.f32 (*.f32 n1_i u) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 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 (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_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) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(+.f32 (*.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 normAngle (/.f32 u (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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
5 calls:
| 13.0ms | (+.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)) |
| 12.0ms | n0_i |
| 12.0ms | u |
| 10.0ms | n1_i |
| 10.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.2% | 1 | normAngle |
| 99.2% | 1 | u |
| 99.2% | 1 | n0_i |
| 99.2% | 1 | n1_i |
| 99.2% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 (+ (* (- n1_i n0_i) u) n0_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 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) 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)) (+.f32 (*.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)) (fma.f32 u n1_i (*.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)) (fma.f32 #s(approx (- 1 u) (neg.f32 u)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i #s(approx (* n1_i u) (*.f32 n1_i u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (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 #s(approx (- 1 u) (neg.f32 u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #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)) (+.f32 (*.f32 n1_i u) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 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 (/ (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (- (* n1_i u) (* n0_i (- 1 u)))) (*.f32 u (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_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) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 n0_i (/.f32 #s(literal 1 binary32) u) (neg.f32 n0_i)) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n0_i) u) (neg.f32 n0_i)) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (neg.f32 (*.f32 u u)) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) #s(approx (* n0_i (- 1 u)) (*.f32 (fma.f32 (/.f32 #s(literal -1 binary32) u) (/.f32 n0_i #s(literal -1 binary32)) (neg.f32 n0_i)) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (sqrt.f32 (*.f32 n1_i u)) (sqrt.f32 (*.f32 n1_i u))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 #s(approx (- (pow (* n1_i u) 2) (pow (* n0_i (- 1 u)) 2)) (*.f32 (*.f32 u u) (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)))) (-.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (/.f32 (fma.f32 (*.f32 u u) u #s(literal 1 binary32)) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))))) |
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(+.f32 (*.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 (-.f32 n1_i n0_i) u) n0_i)) |
5 calls:
| 103.0ms | n1_i |
| 10.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 10.0ms | n0_i |
| 10.0ms | u |
| 10.0ms | normAngle |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 1 | normAngle |
| 97.8% | 1 | u |
| 97.8% | 1 | n0_i |
| 97.8% | 1 | n1_i |
| 97.8% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
| Inputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 (+ (* (- n1_i n0_i) u) n0_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 n1_i n0_i) u n0_i)) |
#s(approx (+ (* (* (sin (+ (* (neg u) normAngle) 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))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_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)) #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 (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) |
5 calls:
| 13.0ms | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
| 2.0ms | n1_i |
| 2.0ms | normAngle |
| 2.0ms | u |
| 2.0ms | n0_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 1 | normAngle |
| 55.6% | 1 | u |
| 71.7% | 3 | n0_i |
| 71.2% | 3 | n1_i |
| 55.6% | 1 | (+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) |
Compiled 29 to 33 computations (-13.8% saved)
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)) (*.f32 (-.f32 n1_i n0_i) u))) |
| Outputs |
|---|
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.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 | normAngle |
| 1.0ms | n0_i |
| 1.0ms | u |
| 1.0ms | n1_i |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.1% | 1 | normAngle |
| 39.1% | 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)) |
| 39.1% | 1 | u |
| 39.1% | 1 | n1_i |
| 39.1% | 1 | n0_i |
Compiled 29 to 33 computations (-13.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0356333904832594e-26 | 2.9266585509303987e-26 |
| 0.0ms | -2.0670207512450553e-21 | -1.731143417283045e-21 |
Compiled 28 to 24 computations (14.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 273 |
| 1 | 69 | 273 |
| 2 | 76 | 273 |
| 3 | 80 | 273 |
| 4 | 82 | 273 |
| 1× | saturated |
| Inputs |
|---|
(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) |
(+.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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)) |
(if (<=.f32 n0_i #s(literal -309485/154742504910672534362390528 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (if (<=.f32 n0_i #s(literal 6490371/324518553658426726783156020576256 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 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 (+ (* (- n1_i n0_i) u) n0_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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i 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)) |
(+.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 (*.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 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)) |
(+.f32 (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)) n1_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))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)) |
(if (<=.f32 n0_i #s(literal -309485/154742504910672534362390528 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- n1_i n0_i) u) n0_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) (if (<=.f32 n0_i #s(literal 6490371/324518553658426726783156020576256 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 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 (+ (* (- n1_i n0_i) u) n0_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)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 924 | 6161 |
| 1 | 3068 | 5693 |
| 0 | 8090 | 5428 |
| 0 | 51 | 401 |
| 0 | 77 | 343 |
| 1 | 291 | 343 |
| 2 | 1896 | 343 |
| 0 | 8280 | 333 |
| 0 | 52 | 351 |
| 0 | 82 | 279 |
| 1 | 317 | 277 |
| 2 | 2295 | 277 |
| 0 | 8620 | 270 |
| 0 | 478 | 1968 |
| 1 | 1581 | 1795 |
| 2 | 5432 | 1738 |
| 0 | 8497 | 1609 |
| 0 | 321 | 1541 |
| 1 | 987 | 1444 |
| 2 | 3391 | 1384 |
| 0 | 8129 | 1298 |
| 0 | 755 | 3835 |
| 1 | 2615 | 3557 |
| 0 | 8317 | 3295 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 553 to 277 computations (49.9% saved)
(abs normAngle)
Compiled 812 to 284 computations (65% saved)
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