
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0.6% | 99.4% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0.6% | 99.4% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0.6% | 99.4% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0.6% | 99.4% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0.6% | 99.4% | 0% | 0% | 0% | 4 |
| 50% | 0.3% | 0.3% | 99.4% | 0% | 0% | 0% | 5 |
| 50% | 0.3% | 0.3% | 99.4% | 0% | 0% | 0% | 6 |
| 75% | 0.5% | 0.2% | 99.4% | 0% | 0% | 0% | 7 |
| 75% | 0.5% | 0.2% | 99.4% | 0% | 0% | 0% | 8 |
| 87.5% | 0.6% | 0.1% | 99.4% | 0% | 0% | 0% | 9 |
| 87.5% | 0.6% | 0.1% | 99.4% | 0% | 0% | 0% | 10 |
| 93.7% | 0.6% | 0% | 99.4% | 0% | 0% | 0% | 11 |
| 93.7% | 0.6% | 0% | 99.4% | 0% | 0% | 0% | 12 |
Compiled 40 to 23 computations (42.5% saved)
| 1.3s | 8 256× | 0 | valid |
ival-<=: 390.0ms (34.7% of total)ival-mult: 262.0ms (23.3% of total)const: 138.0ms (12.3% of total)ival-log: 95.0ms (8.5% of total)ival-div: 80.0ms (7.1% of total)ival-add: 46.0ms (4.1% of total)ival-sub: 41.0ms (3.7% of total)ival-pi: 33.0ms (2.9% of total)ival-and: 24.0ms (2.1% of total)exact: 11.0ms (1% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 12 798× | lower-fma.f64 |
| 12 798× | lower-fma.f32 |
| 4 578× | lower-*.f64 |
| 4 568× | lower-*.f32 |
| 2 370× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 130 |
| 1 | 148 | 122 |
| 2 | 629 | 120 |
| 3 | 3565 | 120 |
| 4 | 7829 | 120 |
| 0 | 13 | 24 |
| 0 | 23 | 24 |
| 1 | 51 | 24 |
| 2 | 159 | 24 |
| 3 | 643 | 24 |
| 4 | 2693 | 24 |
| 5 | 4403 | 24 |
| 6 | 7704 | 24 |
| 0 | 8552 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(abs alpha)
(abs cosTheta)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | cosTheta |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
| 0 | 0 | - | 0 | - | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
| 0 | 0 | - | 0 | - | (log.f32 (*.f32 alpha alpha)) |
| 0 | 0 | - | 0 | - | (*.f32 alpha alpha) |
| 0 | 0 | - | 0 | - | (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
| 0 | 0 | - | 0 | - | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 1 | 255 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 1 | 0 |
| 125.0ms | 512× | 0 | valid |
Compiled 238 to 56 computations (76.5% saved)
ival-mult: 18.0ms (44% of total)ival-pi: 8.0ms (19.6% of total)ival-log: 6.0ms (14.7% of total)ival-div: 4.0ms (9.8% of total)ival-add: 2.0ms (4.9% of total)ival-sub: 2.0ms (4.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
Compiled 26 to 13 computations (50% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | cost-diff | 64 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
| ✓ | cost-diff | 64 | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
| 12 798× | lower-fma.f64 |
| 12 798× | lower-fma.f32 |
| 4 578× | lower-*.f64 |
| 4 568× | lower-*.f32 |
| 2 370× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 91 |
| 0 | 23 | 91 |
| 1 | 51 | 91 |
| 2 | 159 | 91 |
| 3 | 643 | 91 |
| 4 | 2693 | 91 |
| 5 | 4403 | 91 |
| 6 | 7704 | 91 |
| 0 | 8552 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
alpha |
#s(literal 1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
cosTheta |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 alpha alpha) |
alpha |
#s(literal 1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
cosTheta |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.2% | (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
| ✓ | accuracy | 99.0% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | accuracy | 98.7% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 58.0ms | 256× | 0 | valid |
Compiled 93 to 15 computations (83.9% saved)
ival-log: 24.0ms (64% of total)ival-mult: 8.0ms (21.3% of total)ival-div: 2.0ms (5.3% of total)ival-pi: 1.0ms (2.7% of total)ival-add: 1.0ms (2.7% of total)ival-sub: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))> |
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))> |
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (*.f32 alpha alpha)> |
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
#<alt (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)> |
#<alt (log.f32 (*.f32 alpha alpha))> |
| Outputs |
|---|
#<alt -1> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (+ 1 (* -1 (pow cosTheta 2)))> |
#<alt (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))> |
#<alt (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))> |
#<alt (+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2))))> |
#<alt 1> |
#<alt (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))> |
#<alt (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))> |
#<alt (+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1)))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))> |
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))> |
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))> |
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))> |
#<alt (* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1))> |
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))> |
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))> |
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -1 cosTheta)> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 63.0ms | alpha | @ | -inf | (* (PI) (log (* alpha alpha))) |
| 37.0ms | alpha | @ | 0 | (* (PI) (log (* alpha alpha))) |
| 21.0ms | cosTheta | @ | inf | (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) |
| 18.0ms | alpha | @ | 0 | (log (* alpha alpha)) |
| 7.0ms | alpha | @ | inf | (* (PI) (log (* alpha alpha))) |
| 1× | batch-egg-rewrite |
| 6 278× | lower-*.f64 |
| 6 268× | lower-*.f32 |
| 5 746× | lower-fma.f64 |
| 5 746× | lower-fma.f32 |
| 3 952× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 60 |
| 0 | 23 | 60 |
| 1 | 98 | 60 |
| 2 | 768 | 57 |
| 0 | 8446 | 50 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(*.f32 alpha alpha) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(log.f32 (*.f32 alpha alpha)) |
| Outputs |
|---|
(neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(+.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
(+.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(+.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(+.f32 (neg.f32 (neg.f32 (*.f32 alpha alpha))) #s(literal -1 binary32)) |
(+.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) |
(+.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha) (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) |
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal 1 binary32))) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) |
(+.f32 (*.f32 alpha (+.f32 alpha #s(literal -1 binary32))) (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32))) (*.f32 alpha (+.f32 alpha #s(literal -1 binary32)))) |
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal -1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) |
(fma.f32 alpha (+.f32 alpha #s(literal -1 binary32)) (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)))) |
(fma.f32 (*.f32 alpha alpha) #s(literal 1 binary32) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (*.f32 alpha alpha) #s(literal -1 binary32)) |
(fma.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal -1 binary32)) (*.f32 alpha (+.f32 alpha #s(literal -1 binary32)))) |
(fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal -1 binary32))) |
(fma.f32 (+.f32 alpha #s(literal -1 binary32)) alpha (*.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) |
(fma.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)) #s(literal -1 binary32)) |
(fma.f32 (/.f32 alpha (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 alpha alpha) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(fma.f32 (/.f32 (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 alpha #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(fma.f32 (*.f32 #s(literal 1 binary32) alpha) alpha #s(literal -1 binary32)) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(-.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(-.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(-.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (*.f32 alpha alpha))) (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) (-.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) (neg.f32 (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (neg.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32))) (neg.f32 (-.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 1 binary32))) (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))) (neg.f32 (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))))) |
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(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32)))) |
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) |
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) |
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32))) |
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta (*.f32 alpha alpha))) |
(+.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta)) |
(+.f32 (neg.f32 cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)) |
(+.f32 (*.f32 (fma.f32 alpha cosTheta cosTheta) alpha) (*.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 #s(literal 1 binary32) (neg.f32 cosTheta))) |
(+.f32 (*.f32 alpha (fma.f32 alpha cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta))) |
(+.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 1 binary32)) (*.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) |
(fma.f32 alpha (fma.f32 alpha cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (fma.f32 alpha cosTheta cosTheta))) |
(fma.f32 (*.f32 alpha alpha) cosTheta (neg.f32 cosTheta)) |
(fma.f32 #s(literal 1 binary32) (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 #s(literal 1 binary32) (neg.f32 cosTheta))) |
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32))) |
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 cosTheta #s(literal -1 binary32) (*.f32 cosTheta (*.f32 alpha alpha))) |
(fma.f32 #s(literal -1 binary32) cosTheta (*.f32 (*.f32 alpha alpha) cosTheta)) |
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 cosTheta #s(literal -1 binary32))) |
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 1 binary32) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) #s(literal 1 binary32))) |
(fma.f32 (fma.f32 alpha cosTheta cosTheta) alpha (*.f32 (fma.f32 alpha cosTheta cosTheta) #s(literal -1 binary32))) |
(fma.f32 (*.f32 cosTheta alpha) alpha (*.f32 cosTheta #s(literal -1 binary32))) |
(fma.f32 (*.f32 cosTheta alpha) alpha (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 cosTheta #s(literal 1 binary32)) (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32))) |
(fma.f32 (*.f32 cosTheta #s(literal 1 binary32)) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 1 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta))) |
(/.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(/.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32))) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)))) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta)) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta)) (neg.f32 (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32)) (pow.f32 (*.f32 cosTheta #s(literal -1 binary32)) #s(literal 3 binary32))) (fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha)) (-.f32 (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta #s(literal -1 binary32))) (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32)))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta) (-.f32 (*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)) (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))))) |
(/.f32 (-.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) (*.f32 cosTheta #s(literal -1 binary32)))) (-.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32)))) |
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))) (-.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))) |
(*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 cosTheta #s(literal 1 binary32))) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (fma.f32 alpha cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(*.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(*.f32 (/.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (*.f32 cosTheta (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32))) |
(+.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(+.f32 (log.f32 alpha) (log.f32 alpha)) |
(+.f32 #s(literal 0 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(+.f32 (*.f32 (log.f32 alpha) #s(literal 1 binary32)) (*.f32 (log.f32 alpha) #s(literal 1 binary32))) |
(+.f32 (*.f32 #s(literal 1 binary32) (log.f32 alpha)) (*.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(fma.f32 #s(literal 1 binary32) (log.f32 alpha) (*.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32) #s(literal 0 binary32)) |
(fma.f32 (log.f32 alpha) #s(literal 1 binary32) (*.f32 (log.f32 alpha) #s(literal 1 binary32))) |
(fma.f32 (log.f32 alpha) #s(literal 2 binary32) #s(literal 0 binary32)) |
(fma.f32 #s(literal 2 binary32) (log.f32 alpha) #s(literal 0 binary32)) |
(fma.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 0 binary32)) |
(fma.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))) #s(literal 0 binary32)) |
(-.f32 (/.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)))) |
(log.f32 (*.f32 alpha alpha)) |
| 1× | egg-herbie |
| 8 450× | lower-fma.f64 |
| 8 450× | lower-fma.f32 |
| 5 960× | lower-*.f64 |
| 5 960× | lower-*.f32 |
| 4 632× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 198 | 2153 |
| 1 | 581 | 2099 |
| 2 | 2221 | 2030 |
| 0 | 8734 | 1923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(+ 1 (* -1 (pow cosTheta 2))) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
1 |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
| Outputs |
|---|
-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(+ 1 (* -1 (pow cosTheta 2))) |
(fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 (/.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 (/.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 (/.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 (/.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 (/.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 cosTheta (neg.f32 (/.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
1 |
#s(literal 1 binary32) |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (*.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (fma.f32 cosTheta (neg.f32 cosTheta) (/.f32 (*.f32 alpha (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32)))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (-.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) (fma.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 alpha)))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(+.f32 (fma.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 alpha)))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))) (fma.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 alpha)))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha))))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32)))))) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha)))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(-.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha)))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32))))))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(+.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha))))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (fma.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32))))))))) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 cosTheta (*.f32 cosTheta (-.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal -1 binary32) (log.f32 (*.f32 alpha alpha))) (-.f32 (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (PI.f32))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (PI.f32))))) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (neg.f32 (PI.f32))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))))) (*.f32 cosTheta cosTheta)) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))))) (*.f32 cosTheta cosTheta)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* (pow alpha 2) cosTheta) |
(*.f32 (*.f32 alpha alpha) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 alpha (*.f32 alpha (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 alpha (*.f32 alpha (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 alpha (*.f32 alpha (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) cosTheta) |
(*.f32 (*.f32 alpha alpha) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 alpha (*.f32 alpha (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 alpha (*.f32 alpha (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 alpha (*.f32 alpha (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
Compiled 32 627 to 2 711 computations (91.7% saved)
31 alts after pruning (31 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 825 | 31 | 856 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 826 | 31 | 857 |
| Status | Accuracy | Program |
|---|---|---|
| 96.0% | (fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) | |
| 97.3% | (fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| 98.4% | (/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | -0.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
| 94.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 98.1% | (/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.3% | (/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.3% | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ▶ | 98.2% | (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.1% | (/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.7% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.9% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.3% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ▶ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 96.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) | |
| 96.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 94.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))) | |
| 98.3% | (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) | |
| 66.5% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
Compiled 2 144 to 1 062 computations (50.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
| ✓ | cost-diff | 0 | (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))) |
| ✓ | cost-diff | 0 | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 36× | lower-*.f64 |
| 30× | lift-*.f32 |
| 18× | lower-+.f64 |
| 16× | lift-/.f32 |
| 16× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 588 |
| 0 | 86 | 588 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
alpha |
#s(literal 1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) |
(+.f32 alpha #s(literal 1 binary32)) |
(*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) |
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) |
(+.f32 alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
cosTheta |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)) |
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
cosTheta |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(PI.f32) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
alpha |
#s(literal 1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
#s(literal 1 binary32) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) |
(+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
#s(literal -1 binary32) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(*.f32 alpha alpha) |
alpha |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha)))) |
#s(literal 1 binary32) |
(-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))) |
(neg.f32 (*.f32 alpha alpha)) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
alpha |
#s(literal 1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) |
(+.f32 alpha #s(literal 1 binary32)) |
(*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) |
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) |
(+.f32 alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
cosTheta |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)) |
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
cosTheta |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(PI.f32) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
alpha |
#s(literal 1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
#s(literal 1 binary32) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) |
(+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
#s(literal -1 binary32) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(*.f32 alpha alpha) |
alpha |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha)))) |
#s(literal 1 binary32) |
(-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))) |
(neg.f32 (*.f32 alpha alpha)) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
| ✓ | accuracy | 100.0% | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| 84.0ms | 256× | 0 | invalid |
Compiled 610 to 49 computations (92% saved)
ival-mult: 31.0ms (49.8% of total)ival-div: 10.0ms (16.1% of total)ival-add: 10.0ms (16.1% of total)ival-sub: 6.0ms (9.6% of total)ival-log: 3.0ms (4.8% of total)ival-pi: 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 |
|---|
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))))> |
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))> |
#<alt (*.f32 alpha alpha)> |
#<alt (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))> |
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))))> |
#<alt (fma.f32 alpha alpha #s(literal -1 binary32))> |
#<alt (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))> |
#<alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))> |
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))> |
#<alt (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))> |
#<alt (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))> |
#<alt (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))> |
#<alt (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))> |
#<alt (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha)))))> |
#<alt (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))))> |
#<alt (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))> |
#<alt (PI.f32)> |
#<alt (log.f32 (*.f32 alpha alpha))> |
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
#<alt (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta))> |
#<alt (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)> |
#<alt (*.f32 cosTheta cosTheta)> |
#<alt (neg.f32 (*.f32 alpha alpha))> |
| Outputs |
|---|
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))> |
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))> |
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))> |
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#<alt (- (pow alpha 6) 1)> |
#<alt (- (pow alpha 6) 1)> |
#<alt (pow alpha 6)> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (pow alpha 6)> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (pow alpha 6)> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* -1 cosTheta)> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
#<alt (* -1 (pow alpha 2))> |
99 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | alpha | @ | 0 | (* (PI) (log (* alpha alpha))) |
| 18.0ms | alpha | @ | -inf | (/ (+ -1 (* (* alpha alpha) (* (* alpha alpha) (* alpha alpha)))) (+ 1 (- (* (* alpha alpha) (* alpha alpha)) (neg (* alpha alpha))))) |
| 11.0ms | cosTheta | @ | 0 | (* (* (PI) (log (* alpha alpha))) (+ (* (+ alpha 1) (* (* (+ alpha -1) cosTheta) cosTheta)) 1)) |
| 7.0ms | alpha | @ | inf | (log (* alpha alpha)) |
| 7.0ms | alpha | @ | -inf | (log (* alpha alpha)) |
| 1× | batch-egg-rewrite |
| 36× | lower-*.f64 |
| 30× | lift-*.f32 |
| 18× | lower-+.f64 |
| 16× | lift-/.f32 |
| 16× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 328 |
| 0 | 86 | 328 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) |
(+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(*.f32 cosTheta cosTheta) |
(neg.f32 (*.f32 alpha alpha)) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) |
(+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) |
(*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(*.f32 cosTheta cosTheta) |
(neg.f32 (*.f32 alpha alpha)) |
| 1× | egg-herbie |
| 7 900× | lower-fma.f64 |
| 7 900× | lower-fma.f32 |
| 7 600× | lower-*.f64 |
| 7 600× | lower-*.f32 |
| 3 548× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 630 | 10771 |
| 1 | 2152 | 9886 |
| 0 | 8830 | 9442 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2)) |
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(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
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-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) |
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(* (PI) (log (pow alpha 2))) |
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(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
-1 |
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(- (pow alpha 2) 1) |
(pow alpha 2) |
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(pow alpha 2) |
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(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
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(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))) |
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))) |
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
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(- (* 1/2 (/ (* (pow alpha 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* (pow alpha 2) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))) (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1/2 (/ (* (pow cosTheta 2) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2)) |
-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
-1 |
(- (pow alpha 6) 1) |
(- (pow alpha 6) 1) |
(- (pow alpha 6) 1) |
(pow alpha 6) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(pow alpha 6) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(pow alpha 6) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* -1 (pow cosTheta 2)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
(* -1 (pow alpha 2)) |
| Outputs |
|---|
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32)))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32)))))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
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(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
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(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2)) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2)) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2)) |
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(/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32)))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2)) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2)) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 4 binary32)))) (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 4 binary32))))) (-.f32 (+.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32)))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) (+.f32 alpha #s(literal -1 binary32))))))) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (+.f32 (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (/.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (pow.f32 (+.f32 alpha #s(literal 1 binary32)) #s(literal 4 binary32)))) (pow.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))))))))) (*.f32 cosTheta cosTheta)) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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-1 |
#s(literal -1 binary32) |
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(pow alpha 2) |
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
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(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
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(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
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(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
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-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
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(pow alpha 2) |
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) |
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(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1)))))) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))) (-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32))))))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (/ (pow alpha 6) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (- (pow alpha 2) 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 3)))))) (+ (/ (pow alpha 6) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 2)))))) (/ (pow alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ (pow alpha 2) (pow alpha 4))) (pow (- (pow alpha 2) 1) 4)))))))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))) (-.f32 (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32))))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32))))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))) (pow.f32 cosTheta #s(literal 4 binary32)))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32)))))))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 alpha alpha (pow.f32 alpha #s(literal 4 binary32))))))))) (*.f32 cosTheta cosTheta)) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 6) 1) |
(+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) |
(- (pow alpha 6) 1) |
(+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) |
(- (pow alpha 6) 1) |
(+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 alpha alpha))))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 cosTheta cosTheta (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (*.f32 alpha alpha))))) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* (pow alpha 2) cosTheta) |
(*.f32 cosTheta (*.f32 alpha alpha)) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) cosTheta) |
(*.f32 cosTheta (*.f32 alpha alpha)) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
(* -1 (pow alpha 2)) |
(neg.f32 (*.f32 alpha alpha)) |
Compiled 29 716 to 697 computations (97.7% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 740 | 18 | 758 |
| Fresh | 11 | 15 | 26 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 755 | 34 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| 96.0% | (fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) | |
| 97.3% | (fma.f32 alpha (*.f32 alpha (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) | |
| 98.4% | (/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | -0.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
| ▶ | 98.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ▶ | 98.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 94.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 98.1% | (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.3% | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 96.8% | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) | |
| 96.7% | (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.7% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.9% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 82.0% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 87.0% | (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 96.8% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ✓ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| 96.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) | |
| 44.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))))) | |
| 94.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 98.3% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 alpha alpha))) (*.f32 alpha alpha)))) | |
| 98.3% | (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.2% | (/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) | |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) | |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 66.5% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) | |
| ▶ | 94.2% | (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
Compiled 2 012 to 1 100 computations (45.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f32 alpha #s(literal 4 binary32)) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
| ✓ | cost-diff | 0 | (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
| ✓ | cost-diff | 0 | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
| ✓ | cost-diff | 0 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 40× | lower-*.f64 |
| 34× | lift-*.f32 |
| 16× | lower-+.f64 |
| 14× | lift-/.f32 |
| 14× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 434 |
| 0 | 94 | 434 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) |
(+.f32 alpha #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) |
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) |
(+.f32 alpha #s(literal -1 binary32)) |
cosTheta |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
cosTheta |
(neg.f32 cosTheta) |
(PI.f32) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
#s(literal 1 binary32) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
#s(literal 1 binary32) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(PI.f32) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(log.f32 alpha) |
#s(literal 2 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
#s(literal 1 binary32) |
(pow.f32 alpha #s(literal 4 binary32)) |
alpha |
#s(literal 4 binary32) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(PI.f32) |
(fma.f32 alpha alpha #s(literal 1 binary32)) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) |
(+.f32 alpha #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) |
(*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) |
(+.f32 alpha #s(literal -1 binary32)) |
cosTheta |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
cosTheta |
(neg.f32 cosTheta) |
(PI.f32) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
#s(literal 1 binary32) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
#s(literal 1 binary32) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(PI.f32) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(log.f32 alpha) |
#s(literal 2 binary32) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
#s(literal 1 binary32) |
(pow.f32 alpha #s(literal 4 binary32)) |
alpha |
#s(literal 4 binary32) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(PI.f32) |
(fma.f32 alpha alpha #s(literal 1 binary32)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 alpha) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta (neg.f32 cosTheta)) |
| ✓ | accuracy | 100.0% | (neg.f32 cosTheta) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| 87.0ms | 256× | 0 | invalid |
Compiled 459 to 54 computations (88.2% saved)
ival-mult: 30.0ms (45% of total)ival-div: 10.0ms (15% of total)ival-add: 9.0ms (13.5% of total)ival-log: 6.0ms (9% of total)ival-sub: 5.0ms (7.5% of total)ival-pow: 3.0ms (4.5% of total)ival-neg: 2.0ms (3% of total)ival-pi: 1.0ms (1.5% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))))> |
#<alt (fma.f32 alpha alpha #s(literal -1 binary32))> |
#<alt (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))> |
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))> |
#<alt (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))> |
#<alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))> |
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))> |
#<alt (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))> |
#<alt (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))> |
#<alt (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))> |
#<alt (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))> |
#<alt (neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))))> |
#<alt (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))> |
#<alt (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32)))> |
#<alt (pow.f32 alpha #s(literal 4 binary32))> |
#<alt (PI.f32)> |
#<alt (log.f32 (*.f32 alpha alpha))> |
#<alt (*.f32 alpha alpha)> |
#<alt (neg.f32 cosTheta)> |
#<alt (*.f32 cosTheta (neg.f32 cosTheta))> |
#<alt (*.f32 cosTheta cosTheta)> |
#<alt (log.f32 alpha)> |
#<alt (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))> |
| Outputs |
|---|
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))> |
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2)))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (+ 1 alpha) 3) (* (pow (- alpha 1) 3) (- (pow alpha 2) 1)))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (pow (+ 1 alpha) 2) (* (pow (- alpha 1) 2) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))))) (/ (* (+ 1 alpha) (* (- alpha 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))> |
#<alt (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2))))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))) (+ (/ (pow alpha 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (/ (pow alpha 2) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 3) (pow (- alpha 1) 3)))))) (+ (/ (pow alpha 2) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 2) (pow (- alpha 1) 2)))))) (/ (pow alpha 2) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (pow (+ 1 alpha) 4) (pow (- alpha 1) 4)))))))))) (pow cosTheta 2))> |
#<alt -1> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))> |
#<alt (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))> |
#<alt (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))> |
#<alt (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))> |
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))> |
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#<alt (/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2)))) (pow cosTheta 2))> |
#<alt (/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2))> |
#<alt (/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2))> |
#<alt (* -1/2 (/ (- 1 (pow alpha 4)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))))> |
#<alt (/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2)))) (pow cosTheta 2))> |
#<alt (/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2))> |
#<alt (/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2))> |
#<alt -1> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow alpha 4)))> |
#<alt (+ 1 (* -1 (pow alpha 4)))> |
#<alt (+ 1 (* -1 (pow alpha 4)))> |
#<alt (* -1 (pow alpha 4))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* -1 (pow alpha 4))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (/ -1/2 (* (PI) (log alpha)))> |
#<alt (- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))> |
#<alt (- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))> |
#<alt (- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))> |
#<alt (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha)))))))> |
#<alt (* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha)))))))> |
#<alt (/ 1/2 (* (PI) (log alpha)))> |
#<alt (+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))> |
#<alt (+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))> |
#<alt (+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha)))))> |
#<alt (* 1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (* 1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (pow alpha 4)))> |
#<alt (+ 1 (* -1 (pow alpha 4)))> |
#<alt (+ 1 (* -1 (pow alpha 4)))> |
#<alt (* -1 (pow alpha 4))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* -1 (pow alpha 4))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1))> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (pow alpha 4)> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | alpha | @ | -inf | (log alpha) |
| 31.0ms | alpha | @ | inf | (* (PI) (* (log alpha) 2)) |
| 9.0ms | alpha | @ | inf | (* (PI) (log (* alpha alpha))) |
| 8.0ms | alpha | @ | 0 | (* (PI) (log (* alpha alpha))) |
| 7.0ms | alpha | @ | inf | (log (* alpha alpha)) |
| 1× | batch-egg-rewrite |
| 40× | lower-*.f64 |
| 34× | lift-*.f32 |
| 16× | lower-+.f64 |
| 14× | lift-/.f32 |
| 14× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 253 |
| 0 | 94 | 253 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
(pow.f32 alpha #s(literal 4 binary32)) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(neg.f32 cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(*.f32 cosTheta cosTheta) |
(log.f32 alpha) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) |
(*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
(pow.f32 alpha #s(literal 4 binary32)) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(neg.f32 cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(*.f32 cosTheta cosTheta) |
(log.f32 alpha) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
| 1× | egg-herbie |
| 6 300× | lower-*.f64 |
| 6 300× | lower-*.f32 |
| 5 080× | lower-fma.f64 |
| 5 080× | lower-fma.f32 |
| 3 348× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 8379 |
| 1 | 1634 | 7830 |
| 2 | 7549 | 7753 |
| 0 | 8066 | 7427 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
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(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
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(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (* -2 (/ (* (PI) (* (log (/ -1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* 1/2 (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* 1/2 (* (pow alpha 2) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* 1/2 (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* 1/2 (* (pow alpha 2) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* -1 (/ (* (pow cosTheta 2) (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (+ (/ 1 (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (+ (* 1/2 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (+ (* 1/2 (/ (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow cosTheta 2))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 6))) (+ (* 1/2 (/ (+ (* -1 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))) (/ 1 (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (pow alpha 4))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 4))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) |
(+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* -1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (pow alpha 4))) (+ (* 1/2 (/ (+ (/ (* (+ 1 (* -1 (pow cosTheta 2))) (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2)))) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (pow cosTheta 2))) (pow alpha 6))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))) |
(* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) |
(+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* 1/2 (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1))) (* (PI) (* (log alpha) (+ 1 (pow alpha 2))))))) |
(+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 2))) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* 1/2 (/ (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2))))))))) |
(+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* 1/2 (/ (* (- 1 (pow alpha 4)) (- (pow alpha 2) 1)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 2)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) (* 1/2 (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 4)) (pow (- (pow alpha 2) 1) 3))) (* (PI) (* (log alpha) (+ 1 (pow alpha 2))))))))))) |
(* -1/2 (/ (- 1 (pow alpha 4)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))))) |
(/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2)))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2)) |
(* -1/2 (/ (- 1 (pow alpha 4)) (* (pow cosTheta 2) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1))))))) |
(/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2)))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (* -1/2 (/ (- (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 4))) (+ (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (pow cosTheta 2))) (* -1/2 (/ (- (/ (pow alpha 4) (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (/ 1 (* (PI) (* (log alpha) (* (+ 1 (pow alpha 2)) (pow (- (pow alpha 2) 1) 4)))))) (pow cosTheta 6)))))) (pow cosTheta 2)) |
-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
1 |
(+ 1 (* -1 (pow alpha 4))) |
(+ 1 (* -1 (pow alpha 4))) |
(+ 1 (* -1 (pow alpha 4))) |
(* -1 (pow alpha 4)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* -1 (pow alpha 4)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(/ -1/2 (* (PI) (log alpha))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(/ 1/2 (* (PI) (log alpha))) |
(+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(* 1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(* 1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
1 |
(+ 1 (* -1 (pow alpha 4))) |
(+ 1 (* -1 (pow alpha 4))) |
(+ 1 (* -1 (pow alpha 4))) |
(* -1 (pow alpha 4)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* -1 (pow alpha 4)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(pow alpha 4) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(log alpha) |
(log alpha) |
(log alpha) |
(log alpha) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
| Outputs |
|---|
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
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-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
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(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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(pow alpha 2) |
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
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(* (PI) (log (pow alpha 2))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
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(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) |
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
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(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
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(* -1/2 (/ (- 1 (pow alpha 4)) (* (PI) (* (log alpha) (+ 1 (pow alpha 2)))))) |
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#s(literal -1 binary32) |
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(pow alpha 4) |
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(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) |
(/ 1/2 (* (PI) (log alpha))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+ (* -1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
(* 1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))))) |
(* 1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 (*.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))))) |
1 |
#s(literal 1 binary32) |
(+ 1 (* -1 (pow alpha 4))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
(+ 1 (* -1 (pow alpha 4))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
(+ 1 (* -1 (pow alpha 4))) |
(-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) |
(* -1 (pow alpha 4)) |
(neg.f32 (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) |
(* -1 (pow alpha 4)) |
(neg.f32 (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) |
(* (pow alpha 4) (- (/ 1 (pow alpha 4)) 1)) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))))) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(pow alpha 4) |
(pow.f32 alpha #s(literal 4 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 (log.f32 alpha) #s(literal -2 binary32))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) |
Compiled 16 297 to 509 computations (96.9% saved)
36 alts after pruning (33 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 491 | 11 | 502 |
| Fresh | 6 | 22 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 500 | 36 | 536 |
| Status | Accuracy | Program |
|---|---|---|
| 98.4% | (/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 97.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
| ▶ | 98.5% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ✓ | 98.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 98.2% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (neg.f32 (log.f32 alpha)) (*.f32 alpha alpha))) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) | |
| 94.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 94.2% | (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (pow.f32 alpha #s(literal 4 binary32))) #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) | |
| ✓ | 98.3% | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 96.8% | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) | |
| 96.7% | (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 97.7% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.0% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.9% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 82.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 87.0% | (/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 96.8% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ✓ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| 96.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) | |
| 94.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 98.3% | (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.2% | (/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) | |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 65.0% | (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) | |
| ▶ | -0.0% | (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
| 66.5% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) | |
| 94.0% | (*.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| 94.6% | (*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) | |
| 94.3% | (neg.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| 79.3% | (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
Compiled 1 840 to 1 078 computations (41.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
| ✓ | cost-diff | 0 | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | cost-diff | 0 | (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
| ✓ | cost-diff | 0 | (*.f32 alpha alpha) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
| ✓ | cost-diff | 0 | (/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ✓ | cost-diff | 0 | (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
| ✓ | cost-diff | 0 | (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
| ✓ | cost-diff | 0 | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
| ✓ | cost-diff | 0 | (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
| ✓ | cost-diff | 0 | (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
| ✓ | cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
| ✓ | cost-diff | 0 | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | cost-diff | 0 | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| 42× | lower-*.f64 |
| 36× | lift-*.f32 |
| 18× | lower-+.f64 |
| 16× | lift-/.f32 |
| 16× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 474 |
| 0 | 95 | 474 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(PI.f32) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(log.f32 alpha) |
#s(literal 2 binary32) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
#s(literal 1 binary32) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
#s(literal -1 binary32) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
cosTheta |
(neg.f32 cosTheta) |
(PI.f32) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
(log.f32 alpha) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) |
#s(literal 1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(PI.f32) |
#s(literal 2 binary32) |
(/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(*.f32 alpha alpha) |
alpha |
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
alpha |
(*.f32 alpha alpha) |
#s(literal -1 binary32) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))) |
(+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) |
(fma.f32 alpha alpha #s(literal 1 binary32)) |
(fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) |
(-.f32 #s(literal 1 binary32) alpha) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(PI.f32) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(log.f32 alpha) |
#s(literal 2 binary32) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
#s(literal 1 binary32) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
#s(literal -1 binary32) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
cosTheta |
(neg.f32 cosTheta) |
(PI.f32) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
(log.f32 alpha) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) |
#s(literal 1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(PI.f32) |
#s(literal 2 binary32) |
(/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(*.f32 alpha alpha) |
alpha |
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
#s(literal 1 binary32) |
(/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
alpha |
(*.f32 alpha alpha) |
#s(literal -1 binary32) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))) |
(+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) |
(fma.f32 alpha alpha #s(literal 1 binary32)) |
(fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) |
(-.f32 #s(literal 1 binary32) alpha) |
(*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) #s(literal 2 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (log.f32 alpha) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta (neg.f32 cosTheta)) |
| ✓ | accuracy | 100.0% | (neg.f32 cosTheta) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (log.f32 alpha) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| 108.0ms | 256× | 0 | invalid |
Compiled 513 to 54 computations (89.5% saved)
ival-mult: 50.0ms (58% of total)ival-add: 13.0ms (15.1% of total)ival-div: 11.0ms (12.8% of total)ival-log: 6.0ms (7% of total)ival-sub: 4.0ms (4.6% of total)ival-pi: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-neg: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))> |
#<alt (fma.f32 alpha alpha #s(literal -1 binary32))> |
#<alt (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))> |
#<alt (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32)))> |
#<alt (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))))> |
#<alt (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))> |
#<alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))> |
#<alt (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))> |
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))))> |
#<alt (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))> |
#<alt (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))> |
#<alt (/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))> |
#<alt (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))))> |
#<alt (*.f32 alpha alpha)> |
#<alt (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))> |
#<alt (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))))> |
#<alt (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)))> |
#<alt (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))> |
#<alt (PI.f32)> |
#<alt (log.f32 alpha)> |
#<alt (*.f32 cosTheta cosTheta)> |
#<alt (neg.f32 cosTheta)> |
#<alt (*.f32 cosTheta (neg.f32 cosTheta))> |
#<alt (*.f32 (PI.f32) #s(literal 2 binary32))> |
#<alt (log.f32 (*.f32 alpha alpha))> |
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
| Outputs |
|---|
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))> |
#<alt (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))> |
#<alt (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))> |
#<alt (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))> |
#<alt (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))> |
#<alt (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))> |
#<alt (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))> |
#<alt (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))> |
#<alt (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))))> |
#<alt (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))> |
#<alt (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))> |
#<alt (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))> |
#<alt (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))> |
#<alt (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))> |
#<alt (/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))> |
#<alt -1> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))> |
#<alt (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))> |
#<alt (+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))))> |
#<alt (* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))> |
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))))> |
#<alt (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))> |
#<alt (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2)))))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))> |
#<alt (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))> |
#<alt (+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))> |
#<alt (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))> |
#<alt (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))> |
#<alt (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))> |
#<alt (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))> |
#<alt (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))> |
#<alt (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))> |
#<alt (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))> |
#<alt (* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2)))))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))> |
#<alt (PI)> |
#<alt (+ (PI) (* -1 (* (pow cosTheta 2) (PI))))> |
#<alt (+ (PI) (* -1 (* (pow cosTheta 2) (PI))))> |
#<alt (+ (PI) (* -1 (* (pow cosTheta 2) (PI))))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2))))> |
#<alt (* -1 (* (pow cosTheta 2) (PI)))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2))))> |
#<alt (* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2))))> |
#<alt (/ -1/2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))> |
#<alt (- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))))> |
#<alt (- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))))> |
#<alt (- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))))> |
#<alt (* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))))> |
#<alt (* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))))> |
#<alt (* 1/2 (/ (pow alpha 2) (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))))> |
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#<alt (- (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))> |
#<alt (- (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 6) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))> |
#<alt (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))> |
#<alt (+ (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (* (- (pow alpha 2) 1) (- (pow alpha 3) 1)))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))> |
#<alt (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 3) 1)))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (+ 1 (pow alpha 3)) (* (- (pow alpha 2) 1) (- (pow alpha 3) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))> |
#<alt (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (+ 1 (pow alpha 3)) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 3) 1)))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (+ 1 (pow alpha 3)) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 3) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (+ 1 (pow alpha 3)) (* (- (pow alpha 2) 1) (- (pow alpha 3) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))> |
#<alt (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))))> |
#<alt (/ (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))> |
#<alt (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))))> |
#<alt (/ (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2))> |
#<alt -1> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt -1> |
#<alt (- (pow alpha 6) 1)> |
#<alt (- (pow alpha 6) 1)> |
#<alt (- (pow alpha 6) 1)> |
#<alt (pow alpha 6)> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (pow alpha 6)> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt (* (pow alpha 6) (- 1 (/ 1 (pow alpha 6))))> |
#<alt -1> |
#<alt (- (pow alpha 3) 1)> |
#<alt (- (pow alpha 3) 1)> |
#<alt (- (pow alpha 3) 1)> |
#<alt (pow alpha 3)> |
#<alt (* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))> |
#<alt (* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))> |
#<alt (* (pow alpha 3) (- 1 (/ 1 (pow alpha 3))))> |
#<alt (pow alpha 3)> |
#<alt (* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))> |
#<alt (* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))> |
#<alt (* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1)))> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | cosTheta | @ | inf | (* (* (PI) (* (log alpha) 2)) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) |
| 10.0ms | alpha | @ | inf | (* (PI) (* (log alpha) 2)) |
| 9.0ms | alpha | @ | inf | (* (log alpha) (- 1 (* cosTheta cosTheta))) |
| 9.0ms | alpha | @ | -inf | (* (* (log alpha) (- 1 (* cosTheta cosTheta))) (* (PI) 2)) |
| 9.0ms | alpha | @ | inf | (log (* alpha alpha)) |
| 1× | batch-egg-rewrite |
| 42× | lower-*.f64 |
| 36× | lift-*.f32 |
| 18× | lower-+.f64 |
| 16× | lift-/.f32 |
| 16× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 284 |
| 0 | 95 | 284 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(*.f32 alpha alpha) |
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
(PI.f32) |
(log.f32 alpha) |
(*.f32 cosTheta cosTheta) |
(neg.f32 cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(+.f32 (*.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32)) (PI.f32)) |
(fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) |
(*.f32 alpha alpha) |
(-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) |
(*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) |
(+.f32 (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
(PI.f32) |
(log.f32 alpha) |
(*.f32 cosTheta cosTheta) |
(neg.f32 cosTheta) |
(*.f32 cosTheta (neg.f32 cosTheta)) |
(*.f32 (PI.f32) #s(literal 2 binary32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 1× | egg-herbie |
| 8 746× | lower-*.f64 |
| 8 746× | lower-*.f32 |
| 7 232× | lower-fma.f64 |
| 7 232× | lower-fma.f32 |
| 2 572× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 615 | 8552 |
| 1 | 2113 | 8077 |
| 0 | 8535 | 7802 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) |
(- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) |
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha))))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha))))))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))) |
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))) |
(+ (* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha)))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2))))) |
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2))))) |
(* 2 (* (PI) (log alpha))) |
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) |
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) |
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) |
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) |
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) |
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* 2 (* (PI) (* (log alpha) (- (pow alpha 2) 1)))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(PI) |
(+ (PI) (* -1 (* (pow cosTheta 2) (PI)))) |
(+ (PI) (* -1 (* (pow cosTheta 2) (PI)))) |
(+ (PI) (* -1 (* (pow cosTheta 2) (PI)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2)))) |
(* -1 (* (pow cosTheta 2) (PI))) |
(* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (PI)) (/ (PI) (pow cosTheta 2)))) |
(/ -1/2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))))) |
(* 1/2 (/ (pow alpha 2) (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2)))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2)))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))))))) |
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) |
(+ (* 1/2 (/ (* (pow cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 1/2 (/ (* (pow cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 1/2 (/ (* (pow cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))))) |
(* -1/2 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (log alpha))))) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2)))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 6)))))) (pow cosTheta 2)) |
(* -1/2 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (log alpha))))) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2)))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 6)))))) (pow cosTheta 2)) |
(* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (log alpha) (- 1 (pow cosTheta 2))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))))) |
(* 2 (* (PI) (log alpha))) |
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) |
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) |
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) |
(* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (log alpha) (- 1 (pow cosTheta 2))) |
(* (log alpha) (- 1 (pow cosTheta 2))) |
(* (log alpha) (- 1 (pow cosTheta 2))) |
(* (log alpha) (- 1 (pow cosTheta 2))) |
(* -1 (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) |
(* -1 (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) |
(* -1 (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) |
(* -1 (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))) |
(* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))) |
(* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))) |
(* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))) |
(* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2))) |
(log alpha) |
(+ (log alpha) (* -1 (* (pow cosTheta 2) (log alpha)))) |
(+ (log alpha) (* -1 (* (pow cosTheta 2) (log alpha)))) |
(+ (log alpha) (* -1 (* (pow cosTheta 2) (log alpha)))) |
(* -1 (* (pow cosTheta 2) (log alpha))) |
(* (pow cosTheta 2) (+ (* -1 (log alpha)) (/ (log alpha) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (log alpha)) (/ (log alpha) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (log alpha)) (/ (log alpha) (pow cosTheta 2)))) |
(* -1 (* (pow cosTheta 2) (log alpha))) |
(* (pow cosTheta 2) (+ (* -1 (log alpha)) (/ (log alpha) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (log alpha)) (/ (log alpha) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (+ (* -1 (log alpha)) (/ (log alpha) (pow cosTheta 2)))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
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(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
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(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
| Outputs |
|---|
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) |
(- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32))))) |
(- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 cosTheta cosTheta))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32))))) |
(- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 alpha (*.f32 alpha (pow.f32 cosTheta #s(literal 4 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (*.f32 alpha alpha)) (/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (*.f32 alpha alpha)) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (*.f32 alpha alpha))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 alpha) (neg.f32 (PI.f32)))))) (*.f32 cosTheta (*.f32 cosTheta (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32))))))) |
(- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32)))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))))) |
(- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(+.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 6 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))))) |
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))) |
(fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha))))))) |
(fma.f32 cosTheta (*.f32 cosTheta (fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha) #s(literal 1/2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha))))))))) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta (*.f32 cosTheta (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)))) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha) #s(literal 1/2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (pow.f32 cosTheta #s(literal 4 binary32)))))) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 alpha)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (*.f32 cosTheta cosTheta)) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
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(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
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-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
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(- (pow alpha 2) 1) |
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(pow alpha 2) |
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(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
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(pow alpha 2) |
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(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) |
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(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) |
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(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -2 (/ (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (/.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) (*.f32 alpha alpha)))) |
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(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ (* 2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) (* 2 (/ (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))) (pow alpha 2))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal 2 binary32)) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 alpha alpha)))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(+ (* 2 (* (PI) (log alpha))) (* 2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) |
(*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) |
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(*.f32 (*.f32 cosTheta cosTheta) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 alpha) (*.f32 cosTheta cosTheta)))))) |
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(*.f32 (*.f32 cosTheta cosTheta) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (fma.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (log.f32 alpha) (*.f32 cosTheta cosTheta)))))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
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(* -2 (* (PI) (log (/ 1 alpha)))) |
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(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
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(PI) |
(PI.f32) |
(+ (PI) (* -1 (* (pow cosTheta 2) (PI)))) |
(fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)) |
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(*.f32 (*.f32 (-.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (PI.f32)) cosTheta) cosTheta) |
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(*.f32 (*.f32 (-.f32 (/.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (PI.f32)) cosTheta) cosTheta) |
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(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (*.f32 (neg.f32 (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) |
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(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))))) |
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(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (- 1 (pow cosTheta 2)))))))) |
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(* 1/2 (/ (pow alpha 2) (* (PI) (* (+ (log -1) (* -1 (log (/ -1 alpha)))) (- 1 (pow cosTheta 2)))))) |
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-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
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(pow alpha 2) |
(*.f32 alpha alpha) |
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(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
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(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
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(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
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(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
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(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
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(/ (- (pow alpha 2) 1) (pow alpha 2)) |
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(/ (- (pow alpha 2) 1) (pow alpha 2)) |
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(/ (- (pow alpha 2) 1) (pow alpha 2)) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
1 |
#s(literal 1 binary32) |
(- 1 (/ 1 (pow alpha 2))) |
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(- 1 (/ 1 (pow alpha 2))) |
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(- 1 (/ 1 (pow alpha 2))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
1 |
#s(literal 1 binary32) |
(- 1 (/ 1 (pow alpha 2))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(- 1 (/ 1 (pow alpha 2))) |
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(- 1 (/ 1 (pow alpha 2))) |
(+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))) |
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (neg.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
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(/ (- (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (fma.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (pow.f32 cosTheta #s(literal 6 binary32)))))) (fma.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))))))) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (pow.f32 cosTheta #s(literal 4 binary32))))))) (*.f32 cosTheta cosTheta)) |
(/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 cosTheta cosTheta)))) |
(/ (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/.f32 (fma.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/.f32 (fma.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))))) (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (-.f32 (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (pow.f32 cosTheta #s(literal 4 binary32))))) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (* -1 (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 3)))))))) (/ (* (+ 1 (pow alpha 3)) (- (pow alpha 3) 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (fma.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))))) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (pow.f32 cosTheta #s(literal 6 binary32)))))) (fma.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))))))) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (pow.f32 cosTheta #s(literal 4 binary32))))))) (*.f32 cosTheta cosTheta)) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 6) 1) |
(+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) |
(- (pow alpha 6) 1) |
(+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) |
(- (pow alpha 6) 1) |
(+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(pow alpha 6) |
(pow.f32 alpha #s(literal 6 binary32)) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (pow.f32 alpha #s(literal 6 binary32)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))))) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 3) 1) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
(- (pow alpha 3) 1) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
(- (pow alpha 3) 1) |
(fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3)))) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3)))) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(* (pow alpha 3) (- 1 (/ 1 (pow alpha 3)))) |
(*.f32 (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))))) |
(pow alpha 3) |
(*.f32 alpha (*.f32 alpha alpha)) |
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) (*.f32 (*.f32 (neg.f32 alpha) alpha) alpha)) |
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) (*.f32 (*.f32 (neg.f32 alpha) alpha) alpha)) |
(* -1 (* (pow alpha 3) (- (/ 1 (pow alpha 3)) 1))) |
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha alpha))) #s(literal -1 binary32)) (*.f32 (*.f32 (neg.f32 alpha) alpha) alpha)) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* 2 (log alpha)) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
Compiled 19 267 to 663 computations (96.6% saved)
39 alts after pruning (34 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 13 | 568 |
| Fresh | 7 | 21 | 28 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 565 | 39 | 604 |
| Status | Accuracy | Program |
|---|---|---|
| 95.5% | (fma.f32 (*.f32 alpha alpha) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) | |
| 98.4% | (/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ✓ | 97.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
| ✓ | 98.5% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ✓ | 98.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 97.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) | |
| 98.2% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (neg.f32 (log.f32 alpha)) (*.f32 alpha alpha))) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) | |
| 94.6% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| 94.4% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 94.4% | (/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) | |
| 94.2% | (/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (pow.f32 alpha #s(literal 4 binary32))) #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) | |
| ✓ | 98.3% | (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 96.7% | (/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 77.0% | (/.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.9% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 82.1% | (/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 86.6% | (/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.0% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ✓ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| 94.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 98.3% | (/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 93.8% | (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))))) | |
| 98.1% | (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 96.6% | (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) | |
| 94.3% | (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) | |
| 66.4% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 65.0% | (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) | |
| -0.0% | (/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) | |
| 66.5% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) | |
| 94.0% | (*.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| 96.5% | (*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))))) | |
| 95.9% | (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| 94.3% | (neg.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| 79.3% | (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
Compiled 3 042 to 915 computations (69.9% saved)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha (+.f32 alpha #s(literal 1 binary32)) (neg.f32 (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 (fma.f32 (+.f32 alpha #s(literal -1 binary32)) #s(literal 1 binary32) (*.f32 (+.f32 alpha #s(literal -1 binary32)) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha (+.f32 alpha #s(literal 1 binary32))) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 alpha alpha) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (*.f32 #s(literal -1 binary32) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)) (+.f32 alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1 binary32) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha (*.f32 alpha alpha) #s(literal -1 binary32)) (fma.f32 alpha (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (+.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (/.f32 (+.f32 #s(literal -1 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (+.f32 #s(literal 1 binary32) (-.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (neg.f32 (*.f32 alpha alpha))))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 #s(literal -1/2 binary32) (neg.f32 (pow.f32 alpha #s(literal 4 binary32))) #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(neg.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(neg.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))))) |
(fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (*.f32 cosTheta cosTheta) (/.f32 (neg.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 alpha (*.f32 alpha (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))))) |
(/.f32 (/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal -1 binary32)) #s(literal 1 binary32)) (*.f32 (+.f32 (fma.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (neg.f32 (log.f32 alpha)) (fma.f32 cosTheta (*.f32 cosTheta (neg.f32 (PI.f32))) (PI.f32)))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 alpha alpha) (*.f32 #s(literal -2 binary32) (fma.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (neg.f32 (log.f32 alpha)) (*.f32 alpha alpha))) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 #s(literal -2 binary32) (*.f32 (fma.f32 (PI.f32) (*.f32 (neg.f32 (log.f32 alpha)) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 alpha alpha))) (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 alpha alpha) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 (*.f32 (*.f32 (neg.f32 alpha) alpha) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (log.f32 alpha) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (log.f32 alpha) #s(literal 3 binary32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
4 calls:
| 23.0ms | alpha |
| 22.0ms | cosTheta |
| 22.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 21.0ms | (*.f32 alpha alpha) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | cosTheta |
| 98.5% | 1 | alpha |
| 98.5% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.5% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
4 calls:
| 10.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 7.0ms | alpha |
| 7.0ms | (*.f32 alpha alpha) |
| 7.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | alpha |
| 98.4% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.4% | 1 | (*.f32 alpha alpha) |
| 98.4% | 1 | cosTheta |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
4 calls:
| 9.0ms | cosTheta |
| 7.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 7.0ms | (*.f32 alpha alpha) |
| 7.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 1 | alpha |
| 97.0% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 97.0% | 1 | (*.f32 alpha alpha) |
| 97.0% | 1 | cosTheta |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
4 calls:
| 28.0ms | (*.f32 alpha alpha) |
| 5.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 5.0ms | alpha |
| 5.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.9% | 1 | cosTheta |
| 95.9% | 1 | alpha |
| 95.9% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 95.9% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (fma.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
4 calls:
| 12.0ms | cosTheta |
| 5.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 5.0ms | (*.f32 alpha alpha) |
| 4.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 94.6% | 1 | cosTheta |
| 94.6% | 1 | alpha |
| 94.6% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
| Outputs |
|---|
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
4 calls:
| 3.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 2.0ms | alpha |
| 2.0ms | (*.f32 alpha alpha) |
| 2.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.0% | 1 | alpha |
| 65.0% | 1 | (*.f32 alpha alpha) |
| 65.0% | 1 | cosTheta |
| 65.0% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
Compiled 37 to 20 computations (45.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (neg.f32 cosTheta)) (PI.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) (PI.f32) (PI.f32)))) |
| Outputs |
|---|
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
4 calls:
| 4.0ms | cosTheta |
| 2.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 2.0ms | (*.f32 alpha alpha) |
| 2.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| -0.0% | 1 | alpha |
| -0.0% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| -0.0% | 1 | (*.f32 alpha alpha) |
| -0.0% | 1 | cosTheta |
Compiled 37 to 20 computations (45.9% saved)
| 1× | egg-herbie |
| 22× | *-commutative_binary32 |
| 2× | 1-exp_binary64 |
| 2× | 1-exp_binary32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 98 |
| 1 | 49 | 98 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
| 8 746× | lower-*.f64 |
| 8 746× | lower-*.f32 |
| 7 900× | lower-fma.f64 |
| 7 900× | lower-fma.f32 |
| 7 600× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 8379 |
| 1 | 1634 | 7830 |
| 2 | 7549 | 7753 |
| 0 | 8066 | 7427 |
| 0 | 13 | 60 |
| 0 | 23 | 60 |
| 1 | 98 | 60 |
| 2 | 768 | 57 |
| 0 | 8446 | 50 |
| 0 | 630 | 10771 |
| 1 | 2152 | 9886 |
| 0 | 8830 | 9442 |
| 0 | 615 | 8552 |
| 1 | 2113 | 8077 |
| 0 | 8535 | 7802 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 556 to 320 computations (42.4% saved)
(abs cosTheta)
(abs alpha)
Compiled 528 to 266 computations (49.6% saved)
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