
Time bar (total: 6.5s)
| 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-mult: 271.0ms (25.5% of total)ival-log: 193.0ms (18.2% of total)const: 139.0ms (13.1% of total)ival-<=: 131.0ms (12.3% of total)ival-div: 110.0ms (10.4% of total)ival-add: 105.0ms (9.9% of total)ival-sub: 40.0ms (3.8% of total)ival-pi: 29.0ms (2.7% of total)ival-and: 25.0ms (2.4% of total)exact: 11.0ms (1% of total)adjust: 3.0ms (0.3% of total)ival-assert: 3.0ms (0.3% of total)| 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 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 51.0ms | 512× | 0 | valid |
Compiled 210 to 43 computations (79.5% saved)
ival-mult: 15.0ms (46.7% of total)ival-log: 6.0ms (18.7% of total)ival-div: 3.0ms (9.3% of total)ival-pi: 2.0ms (6.2% of total)ival-add: 2.0ms (6.2% of total)ival-sub: 2.0ms (6.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 122 |
| 1 | 152 | 122 |
| 2 | 595 | 122 |
| 3 | 3333 | 120 |
| 0 | 13 | 24 |
| 0 | 23 | 24 |
| 1 | 55 | 24 |
| 2 | 221 | 24 |
| 3 | 1191 | 24 |
| 4 | 4601 | 24 |
| 0 | 8344 | 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 (*.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(abs alpha)
(abs cosTheta)
Compiled 24 to 13 computations (45.8% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.6% | (/.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 24 to 13 computations (45.8% saved)
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 | 1 | (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) | |
| cost-diff | 1 | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 91 |
| 0 | 23 | 91 |
| 1 | 55 | 91 |
| 2 | 221 | 91 |
| 3 | 1191 | 91 |
| 4 | 4601 | 91 |
| 0 | 8344 | 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 (*.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(-.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 (*.f32 (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.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)) |
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
(*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
cosTheta |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.1171875 | (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) | |
| accuracy | 0.20703125 | (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) | |
| accuracy | 0.28515625 | (/.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 | 0.3359375 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 28.0ms | 256× | 0 | valid |
Compiled 93 to 15 computations (83.9% saved)
ival-mult: 12.0ms (60.4% of total)ival-log: 3.0ms (15.1% of total)ival-div: 2.0ms (10.1% of total)ival-pi: 1.0ms (5% of total)ival-add: 1.0ms (5% of total)ival-sub: 1.0ms (5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.f32 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) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
| Outputs |
|---|
1 |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(/ (- (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))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(/ 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 alpha 2) 1) |
(+ 1 (* -1 (pow cosTheta 2))) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (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)))))))) |
(pow alpha 2) |
(* 2 (* (PI) (log alpha))) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* -1 (pow cosTheta 2)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (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)))))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (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)))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | alpha | @ | 0 | ((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) |
| 9.0ms | alpha | @ | inf | ((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) |
| 8.0ms | alpha | @ | -inf | ((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) |
| 3.0ms | cosTheta | @ | inf | ((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) |
| 3.0ms | cosTheta | @ | 0 | ((- (* alpha alpha) 1) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (* alpha alpha) (* (PI) (log (* alpha alpha))) (* (- (* alpha alpha) 1) cosTheta) (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1450 |
| 1 | 572 | 1398 |
| 2 | 2417 | 1236 |
| 0 | 8614 | 1182 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* (pow cosTheta 2) (- (pow alpha 2) 1))) |
(/ (- (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))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (+ (/ 1 (pow cosTheta 2)) (pow alpha 2)) 1)) |
(/ 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 alpha 2) 1) |
(+ 1 (* -1 (pow cosTheta 2))) |
(+ 1 (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (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)))))))) |
(pow alpha 2) |
(* 2 (* (PI) (log alpha))) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* -1 (pow cosTheta 2)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (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)))))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (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)))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
| Outputs |
|---|
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)) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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))))) |
(/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) cosTheta) (neg.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (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 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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 (fma.f32 (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) cosTheta) (neg.f32 cosTheta) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 alpha alpha))) (neg.f32 (PI.f32)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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)) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(/ (- (/ 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 (/.f32 #s(literal 1 binary32) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (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)))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))) (PI.f32)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (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 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 4 binary32))) (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal 1 binary32) (log.f32 (*.f32 alpha alpha)))) (PI.f32)) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 6 binary32))) (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32))))) (PI.f32))) (*.f32 cosTheta cosTheta)) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(+ 1 (* -1 (pow cosTheta 2))) |
(-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) |
(+ 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)) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (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 (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (*.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (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 (fma.f32 (*.f32 (/.f32 cosTheta (*.f32 (log.f32 alpha) (PI.f32))) (/.f32 cosTheta (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) #s(literal 1/2 binary32) (/.f32 (fma.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) alpha) (neg.f32 alpha)) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (*.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (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 (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (-.f32 (/.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha) (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha)))) (*.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (*.f32 (log.f32 alpha) (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 (pow cosTheta 2)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) alpha) alpha) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) alpha) alpha) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (+ (/ 1 (pow alpha 2)) (pow cosTheta 2)))) |
(fma.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32))) alpha) alpha #s(literal 1 binary32)) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.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 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (neg.f32 (log.f32 alpha)))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)))) (*.f32 (neg.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 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha)))) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)))) (*.f32 (neg.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)))))) |
(fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 (fma.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha)))) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)))) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha))))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) |
(* (pow alpha 2) cosTheta) |
(*.f32 (*.f32 alpha alpha) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))) alpha) alpha) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) #s(literal -1 binary32))) (*.f32 alpha alpha)) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32)))) |
(- (+ (* -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 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32)))) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (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)))))) |
(fma.f32 (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (pow.f32 cosTheta #s(literal 4 binary32))) (-.f32 (/.f32 (fma.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (/.f32 (/.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (pow.f32 cosTheta #s(literal 4 binary32))) (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32)))) (*.f32 cosTheta cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 alpha alpha)))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 65 |
| 0 | 23 | 65 |
| 1 | 101 | 65 |
| 2 | 818 | 63 |
| 0 | 8860 | 55 |
| 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) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
| Outputs |
|---|
(expm1.f32 (*.f32 (log.f32 (neg.f32 alpha)) #s(literal 2 binary32))) |
(expm1.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 (neg.f32 alpha) #s(literal 1 binary32))) (-.f32 (neg.f32 alpha) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (neg.f32 (+.f32 #s(literal -1 binary32) (neg.f32 alpha))) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 (/.f32 (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)) #s(literal 1 binary32))) |
(*.f32 (+.f32 #s(literal -1 binary32) (neg.f32 alpha)) (neg.f32 (-.f32 alpha #s(literal 1 binary32)))) |
(*.f32 (+.f32 (neg.f32 alpha) #s(literal 1 binary32)) (-.f32 (neg.f32 alpha) #s(literal 1 binary32))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (neg.f32 (neg.f32 (-.f32 alpha #s(literal 1 binary32))))) |
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(/.f32 (-.f32 (*.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.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 (pow.f32 alpha #s(literal 4 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 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))))) (*.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))) (+.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (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 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (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 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32))))))) |
(/.f32 (-.f32 (pow.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (fma.f32 (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))))))) |
(/.f32 (+.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal -1 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (neg.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #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 (*.f32 (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #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)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha))) |
(/.f32 (*.f32 (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 #s(literal 1 binary32) alpha))) |
(/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 alpha alpha (+.f32 #s(literal 1 binary32) alpha)))) |
(/.f32 (-.f32 (+.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32))) |
(/.f32 (-.f32 (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32))))) |
(/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32))) |
(/.f32 (neg.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal -1 binary32))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (neg.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32)))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (neg.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(-.f32 (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(-.f32 (/.f32 (pow.f32 alpha #s(literal 6 binary32)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(fma.f32 (*.f32 #s(literal 1 binary32) (neg.f32 alpha)) (neg.f32 alpha) #s(literal -1 binary32)) |
(fma.f32 (exp.f32 (log.f32 alpha)) (exp.f32 (log.f32 alpha)) #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 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(fma.f32 (neg.f32 alpha) (neg.f32 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 #s(literal 1 binary32) (*.f32 alpha alpha) #s(literal -1 binary32)) |
(fma.f32 (*.f32 alpha alpha) #s(literal 1 binary32) #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 alpha 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)))) |
(+.f32 (*.f32 alpha (-.f32 alpha #s(literal 1 binary32))) (*.f32 #s(literal 1 binary32) (-.f32 alpha #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 (-.f32 alpha #s(literal 1 binary32)) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(neg.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32))) |
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(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (*.f32 #s(literal 1 binary32) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (*.f32 (cbrt.f32 (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) |
(*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) |
(*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (log.f32 alpha)) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (PI.f32))) |
(*.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)) #s(literal 1 binary32)) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32)) |
(*.f32 (PI.f32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (PI.f32))) |
(/.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 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.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 (-.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha)))) (-.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) (fma.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha)) (-.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha)))))) |
(-.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (neg.f32 (log.f32 alpha)) (PI.f32))) |
(-.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (neg.f32 (PI.f32)) (log.f32 alpha))) |
(fma.f32 (*.f32 (log.f32 alpha) (neg.f32 (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (log.f32 alpha) (PI.f32))) |
(fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) |
(fma.f32 (*.f32 (log.f32 alpha) (cbrt.f32 (PI.f32))) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) |
(fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) |
(fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 binary32) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32))) |
(fma.f32 (log.f32 (neg.f32 alpha)) (PI.f32) (*.f32 (log.f32 (neg.f32 alpha)) (PI.f32))) |
(fma.f32 (cosh.f32 (log.f32 (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (log.f32 alpha) (PI.f32))) |
(fma.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (cosh.f32 (log.f32 (PI.f32))) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sinh.f32 (log.f32 (PI.f32))))) |
(fma.f32 (PI.f32) (log.f32 (neg.f32 alpha)) (*.f32 (PI.f32) (log.f32 (neg.f32 alpha)))) |
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+.f32 (*.f32 (cosh.f32 (log.f32 (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) (*.f32 (sinh.f32 (log.f32 (PI.f32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(+.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32))) |
(+.f32 (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (cosh.f32 (log.f32 (PI.f32)))) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (sinh.f32 (log.f32 (PI.f32))))) |
(+.f32 (*.f32 (PI.f32) (log.f32 (neg.f32 alpha))) (*.f32 (PI.f32) (log.f32 (neg.f32 alpha)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) |
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+.f32 (*.f32 (log.f32 (neg.f32 alpha)) (PI.f32)) (*.f32 (log.f32 (neg.f32 alpha)) (PI.f32))) |
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) |
(+.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 (*.f32 cosTheta (+.f32 (neg.f32 alpha) #s(literal 1 binary32))) (-.f32 (neg.f32 alpha) #s(literal 1 binary32))) |
(*.f32 (*.f32 cosTheta (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 alpha cosTheta cosTheta)) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta)) |
(*.f32 (/.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (neg.f32 (neg.f32 cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (fma.f32 alpha cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 (neg.f32 cosTheta) (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32))) |
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta)) |
(*.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) (neg.f32 cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 cosTheta #s(literal 1 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (neg.f32 (neg.f32 cosTheta))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(*.f32 #s(literal 1 binary32) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta)) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta)) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (neg.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)))) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)))) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(/.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (*.f32 cosTheta (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(fma.f32 cosTheta (*.f32 alpha alpha) (*.f32 cosTheta #s(literal -1 binary32))) |
(fma.f32 (*.f32 alpha alpha) cosTheta (*.f32 #s(literal -1 binary32) cosTheta)) |
(+.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta)) |
(+.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta #s(literal -1 binary32))) |
(neg.f32 (*.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) cosTheta)) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 (neg.f32 alpha) #s(literal 1 binary32))) (-.f32 (neg.f32 alpha) #s(literal 1 binary32))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 alpha #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) alpha)) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 #s(literal 1 binary32) alpha)) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (-.f32 alpha #s(literal 1 binary32))) |
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fabs.f32 cosTheta)) (fabs.f32 cosTheta)) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta)) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) cosTheta) (neg.f32 cosTheta)) |
(*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32)) |
(*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta)) |
(/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)) (fma.f32 (neg.f32 alpha) alpha #s(literal -1 binary32))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta)) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) cosTheta) cosTheta) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) |
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) |
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) |
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) |
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) |
(neg.f32 (*.f32 (*.f32 (fma.f32 (neg.f32 alpha) alpha #s(literal 1 binary32)) cosTheta) cosTheta)) |
Compiled 19 163 to 2 092 computations (89.1% saved)
21 alts after pruning (21 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 21 | 507 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 487 | 21 | 508 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.6% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
| ▶ | 97.6% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #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)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (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)))) | |
| 97.7% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha 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)))) | |
| 98.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 97.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.7% | (/.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)))) | |
| 98.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) | |
| 98.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))) | |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 94.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) | |
| ▶ | 98.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.2% | (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.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)))) | |
| 98.1% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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)))) | |
| ▶ | 67.5% | (/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
| 97.5% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (*.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 97.0% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) cosTheta) (neg.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 94.6% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
Compiled 1 380 to 812 computations (41.2% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f32 alpha #s(literal 6 binary32)) | |
| cost-diff | 0 | (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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)))) | |
| cost-diff | 0 | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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 #s(literal 1 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (-.f32 alpha #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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 | 0 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) | |
| cost-diff | 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))) | |
| cost-diff | 0 | #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) | |
| cost-diff | 0 | (/.f32 #s(approx (- (* alpha alpha) 1) #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 | 0 | (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 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) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) | |
| cost-diff | 0 | (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) | |
| 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 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 546 |
| 0 | 79 | 546 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.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 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) |
(pow.f32 (*.f32 alpha alpha) (PI.f32)) |
(PI.f32) |
(+.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 |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) |
(PI.f32) |
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
cosTheta |
#s(literal 1 binary32) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#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 alpha alpha) |
alpha |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
#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)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #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 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 (pow.f32 alpha #s(literal 6 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 (*.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 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
alpha |
#s(literal 6 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 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 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.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 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) |
(pow.f32 (*.f32 alpha alpha) (PI.f32)) |
(PI.f32) |
(+.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 |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) |
(PI.f32) |
(fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
cosTheta |
#s(literal 1 binary32) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
#s(literal 0 binary32) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#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 alpha alpha) |
alpha |
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) |
#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)) cosTheta) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
cosTheta |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #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 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 (pow.f32 alpha #s(literal 6 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 (*.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 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
alpha |
#s(literal 6 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 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 | 0.0 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) | |
| accuracy | 0.0 | (*.f32 alpha alpha) | |
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) | |
| accuracy | 0.0 | (*.f32 alpha alpha) | |
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 alpha alpha) | |
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 0.0 | #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) | |
| accuracy | 0.0 | (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) | |
| accuracy | 0.0 | (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) | |
| accuracy | 0.0 | (*.f32 alpha alpha) | |
| accuracy | 0.0 | (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) | |
| accuracy | 29.98788023102775 | (PI.f32) |
| 98.0ms | 256× | 0 | invalid |
Compiled 566 to 44 computations (92.2% saved)
ival-mult: 39.0ms (52.1% of total)ival-div: 9.0ms (12% of total)ival-pow: 8.0ms (10.7% of total)ival-add: 7.0ms (9.4% of total)ival-log: 5.0ms (6.7% of total)ival-sub: 4.0ms (5.3% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.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) |
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (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) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
#s(approx (- (* alpha alpha) 1) #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))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
(PI.f32) |
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(log.f32 (*.f32 alpha alpha)) |
| Outputs |
|---|
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(log (pow (pow alpha 2) (PI))) |
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) |
(/ (- (pow alpha 2) 1) (* (NAN) (PI))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(* (NAN) (PI)) |
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) |
(PI) |
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))) |
(/ (- (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))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI))))) |
(/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))) |
(* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2)))) |
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) |
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))) |
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (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 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)))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (+ (/ (pow alpha 6) (* (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 alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))))))) (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 |
(- (pow alpha 2) 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)))))) |
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))) |
(* (PI) (+ 1 (* -1 (pow cosTheta 2)))) |
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) |
(* 2 (* (PI) (log alpha))) |
(- alpha 1) |
(- (* 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 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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 6) 1) |
(pow alpha 6) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* 2 (log alpha)) |
(/ -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 (/ 1 (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))))) |
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))) |
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))) |
(* (pow alpha 2) (* (pow cosTheta 2) (PI))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
alpha |
(* alpha (- 1 (/ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* -2 (log (/ 1 alpha))) |
(/ -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)))))) |
(* -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))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(- (* 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))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))) |
(* -2 (log (/ -1 alpha))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | alpha | @ | inf | ((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha))) |
| 33.0ms | alpha | @ | 0 | ((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha))) |
| 26.0ms | cosTheta | @ | 0 | ((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha))) |
| 26.0ms | alpha | @ | -inf | ((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha))) |
| 11.0ms | cosTheta | @ | inf | ((/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* alpha alpha) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (PI) (log (* alpha alpha))) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (- (pow alpha 6) 1) (pow alpha 6) (PI) (log (pow (* alpha alpha) (PI))) (* cosTheta (+ (* alpha alpha) -1)) (log (* alpha alpha))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 651 | 5784 |
| 1 | 2065 | 5325 |
| 0 | 8566 | 5188 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(log (pow (pow alpha 2) (PI))) |
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) |
(/ (- (pow alpha 2) 1) (* (NAN) (PI))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(* (NAN) (PI)) |
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) |
(PI) |
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))) |
(/ (- (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))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(/ 1 (* (pow cosTheta 2) (log (pow (pow alpha 2) (PI))))) |
(/ (- (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (log (pow (pow alpha 2) (PI)))) (/ 1 (* (pow cosTheta 4) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) (/ 1 (* (pow cosTheta 6) (* (log (pow (pow alpha 2) (PI))) (pow (- (pow alpha 2) 1) 3)))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1))) |
(* (pow cosTheta 2) (+ (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)) (/ (log (pow (pow alpha 2) (PI))) (pow cosTheta 2)))) |
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) |
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2)))) |
(* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1))) |
(* (pow cosTheta 2) (+ (* (PI) (- (pow alpha 2) 1)) (/ (PI) (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 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)))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (+ (/ (pow alpha 6) (* (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 alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))))))) (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 |
(- (pow alpha 2) 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)))))) |
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))) |
(* (PI) (+ 1 (* -1 (pow cosTheta 2)))) |
(+ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (* (pow alpha 2) (* (pow cosTheta 2) (PI)))) |
(* 2 (* (PI) (log alpha))) |
(- alpha 1) |
(- (* 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 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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 6) 1) |
(pow alpha 6) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* 2 (log alpha)) |
(/ -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 (/ 1 (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))))) |
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))) |
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))) |
(* (pow alpha 2) (* (pow cosTheta 2) (PI))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (PI)) (/ (* (PI) (+ 1 (* -1 (pow cosTheta 2)))) (pow alpha 2)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
alpha |
(* alpha (- 1 (/ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* -2 (log (/ 1 alpha))) |
(/ -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)))))) |
(* -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))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(- (* 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))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))) |
(* -2 (log (/ -1 alpha))) |
| Outputs |
|---|
(/ (- (pow alpha 2) 1) (log (pow (pow alpha 2) (PI)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (log (pow (pow alpha 2) (PI))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (log (pow (pow alpha 2) (PI)))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (log (pow (pow alpha 2) (PI))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (log (pow (pow alpha 2) (PI))))))) (/ (pow (- (pow alpha 2) 1) 2) (log (pow (pow alpha 2) (PI)))))) (/ (pow alpha 2) (log (pow (pow alpha 2) (PI))))) (/ 1 (log (pow (pow alpha 2) (PI))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) (*.f32 cosTheta cosTheta)) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
(log (pow (pow alpha 2) (PI))) |
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) |
(+ (log (pow (pow alpha 2) (PI))) (* (pow cosTheta 2) (* (log (pow (pow alpha 2) (PI))) (- (pow alpha 2) 1)))) |
(fma.f32 (*.f32 cosTheta (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32)))) |
(/ (- (pow alpha 2) 1) (* (NAN) (PI))) |
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32)) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (NAN.f32) (PI.f32))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (/.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (NAN.f32))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (PI.f32)) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (PI.f32))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (NAN.f32)) (PI.f32))) |
(* (NAN) (PI)) |
(*.f32 (NAN.f32) (PI.f32)) |
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) |
(fma.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))) |
(PI) |
(PI.f32) |
(+ (PI) (* (pow cosTheta 2) (* (PI) (- (pow alpha 2) 1)))) |
(fma.f32 (*.f32 (PI.f32) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 cosTheta cosTheta) (PI.f32)) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (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))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (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 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (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 (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(* (PI) (log (pow alpha 2))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32))) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta)) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (PI.f32)))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) (*.f32 (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
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-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
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(pow alpha 2) |
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alpha |
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(- (* 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))))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (neg.f32 (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta)))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (neg.f32 (pow.f32 alpha #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))) |
(-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (*.f32 (neg.f32 (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 cosTheta cosTheta))) (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 6 binary32)) cosTheta) cosTheta))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (*.f32 alpha alpha))))) (+.f32 (+.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))))) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 6 binary32)))) (pow.f32 alpha #s(literal 6 binary32))) |
(* (pow alpha 2) cosTheta) |
(*.f32 (*.f32 alpha alpha) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))) alpha) alpha) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 #s(literal -2 binary32) (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)))))))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (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 (*.f32 cosTheta cosTheta) (PI.f32)))))) |
(- (+ (* -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 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (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 (*.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 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) |
(* (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 (*.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (/.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 alpha alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(*.f32 (neg.f32 alpha) (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))) |
(- (* 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))))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(-.f32 (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (neg.f32 (pow.f32 alpha #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 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))) |
(-.f32 (-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)))) (/.f32 (-.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 6 binary32)) cosTheta) cosTheta))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))) (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 6 binary32)))) (/.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 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32)))))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 286 |
| 0 | 79 | 286 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.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) |
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (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) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
#s(approx (- (* alpha alpha) 1) #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))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
(PI.f32) |
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(log.f32 (*.f32 alpha alpha)) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.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) |
(*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (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) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
#s(approx (- (* alpha alpha) 1) #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))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
(fma.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 alpha #s(literal 1 binary32)) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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 (pow.f32 alpha #s(literal 6 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 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
(PI.f32) |
(log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(log.f32 (*.f32 alpha alpha)) |
Compiled 11 602 to 926 computations (92% saved)
29 alts after pruning (27 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 196 | 16 | 212 |
| Fresh | 5 | 11 | 16 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 204 | 29 | 233 |
| Status | Accuracy | Program |
|---|---|---|
| 98.6% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.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)))) | |
| 49.0% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) | |
| ▶ | 94.8% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| 98.3% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
| ✓ | 97.6% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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)))) |
| 94.0% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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)))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (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)))) | |
| 97.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.7% | (/.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)))) | |
| ▶ | 98.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
| 98.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))) | |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 94.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) | |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) | |
| 98.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 alpha)))))) | |
| 95.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) | |
| 98.2% | (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.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)))) | |
| 98.5% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.1% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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)))) | |
| ✓ | 67.5% | (/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
| ▶ | 32.8% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
| 65.9% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 96.2% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (PI.f32))))) | |
| 94.1% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) | |
| 94.6% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) | |
| ▶ | 97.0% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
Compiled 2 194 to 1 286 computations (41.4% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)) | |
| cost-diff | 0 | #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) | |
| cost-diff | 0 | #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) | |
| cost-diff | 0 | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) | |
| cost-diff | 0 | (*.f32 (neg.f32 cosTheta) cosTheta) | |
| cost-diff | 0 | (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| cost-diff | 0 | (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (-.f32 alpha #s(literal 1 binary32)) | |
| cost-diff | 0 | (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| cost-diff | 0 | (*.f32 (NAN.f32) (PI.f32)) | |
| cost-diff | 0 | #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.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)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) | |
| cost-diff | 0 | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 622 |
| 0 | 105 | 620 |
| 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 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) alpha) |
(*.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)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))) |
(*.f32 (NAN.f32) (PI.f32)) |
(NAN.f32) |
(PI.f32) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(PI.f32) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
cosTheta |
(*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(PI.f32) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)) |
(*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) |
(PI.f32) |
(fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)) |
(+.f32 #s(literal 1 binary32) alpha) |
(*.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)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
alpha |
#s(literal -1 binary32) |
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))) |
(*.f32 (NAN.f32) (PI.f32)) |
(NAN.f32) |
(PI.f32) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(PI.f32) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(neg.f32 cosTheta) |
cosTheta |
(*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 alpha alpha) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(PI.f32) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)) |
(*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) |
(PI.f32) |
(fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta))) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
#s(literal 1 binary32) |
(/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 0.0 | #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) | |
| accuracy | 0.0 | #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (neg.f32 cosTheta) | |
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 0.0 | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 alpha alpha) | |
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 0.0 | #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 (NAN.f32) (PI.f32)) | |
| accuracy | 0.0 | (NAN.f32) | |
| accuracy | 0.0 | #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))) | |
| accuracy | 29.98788023102775 | (PI.f32) | |
| accuracy | 0.0 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) | |
| accuracy | 0.0 | (*.f32 alpha alpha) | |
| accuracy | 0.0 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 29.98788023102775 | (PI.f32) |
| 95.0ms | 256× | 0 | invalid |
Compiled 535 to 54 computations (89.9% saved)
ival-mult: 33.0ms (48.5% of total)ival-div: 16.0ms (23.5% of total)ival-add: 10.0ms (14.7% of total)ival-sub: 3.0ms (4.4% of total)ival-log: 3.0ms (4.4% of total)ival-pi: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-nan: 0.0ms (0% of total)| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))) |
(*.f32 (NAN.f32) (PI.f32)) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(NAN.f32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(neg.f32 cosTheta) |
| Outputs |
|---|
(/ (- (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))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
(/ (- (pow alpha 2) 1) (* (NAN) (PI))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(* (NAN) (PI)) |
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ alpha (* alpha (- alpha 1))) 1) |
(- (+ alpha (+ (* -1 (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)))) (* alpha (- alpha 1)))) 1) |
(* -1 (pow cosTheta 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))))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(* -1 cosTheta) |
(/ (- (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)) |
(/ (- (+ (/ 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)) |
(* (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)))) |
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) |
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2)))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) |
(* (pow cosTheta 2) (- (+ (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) |
(* -1 (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (- (+ (* -1 (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (+ (/ alpha (pow cosTheta 2)) (/ (* alpha (- alpha 1)) (pow cosTheta 2)))) (/ 1 (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 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)))) |
(/ -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 |
(- (pow alpha 2) 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)))))) |
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))) |
(- alpha 1) |
(* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) |
(+ (* 1/2 (/ (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2)))) (* (PI) (log alpha)))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (log alpha)))) (* 1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (PI) (log alpha))))))) |
(- (* -1 (pow cosTheta 2)) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2))))) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (* 2 (pow cosTheta 2)))))) 1) |
(* (pow cosTheta 2) (* (PI) (+ (* -2 (log alpha)) (* 2 (/ (log alpha) (pow cosTheta 2)))))) |
(+ (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))) (* (pow cosTheta 2) (* (PI) (+ (* -2 (log alpha)) (* 2 (/ (log alpha) (pow cosTheta 2))))))) |
(* 2 (log alpha)) |
(* 2 (* (PI) (log alpha))) |
(/ -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 (/ 1 (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))))) |
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))) |
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))) |
alpha |
(* alpha (- 1 (/ 1 alpha))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(* -1 (* (pow alpha 4) (pow cosTheta 2))) |
(* (pow alpha 4) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) |
(* (pow alpha 4) (- (+ (* -1 (/ (pow cosTheta 2) (pow alpha 4))) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 4)))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (/ (* (pow cosTheta 2) (* (PI) (+ (* -2 (/ (log (/ 1 alpha)) (pow cosTheta 2))) (* 2 (log (/ 1 alpha)))))) (pow alpha 2)))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(/ -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)))))) |
(* -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))))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (/ (* (pow cosTheta 2) (* (PI) (+ (* -2 (/ (log (/ -1 alpha)) (pow cosTheta 2))) (* 2 (log (/ -1 alpha)))))) (pow alpha 2)))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | cosTheta | @ | inf | ((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (neg cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (neg cosTheta)) |
| 13.0ms | alpha | @ | 0 | ((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (neg cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (neg cosTheta)) |
| 11.0ms | alpha | @ | inf | ((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (neg cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (neg cosTheta)) |
| 10.0ms | alpha | @ | -inf | ((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (neg cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (neg cosTheta)) |
| 7.0ms | cosTheta | @ | 0 | ((/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (- (* alpha alpha) 1) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (/ (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0))) (+ (* alpha alpha) -1) (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (* (NAN) (PI)) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (- alpha 1) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (neg cosTheta) cosTheta) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (PI) (log (* alpha alpha)) (* (PI) (log (* alpha alpha))) (NAN) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (neg cosTheta)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 582 | 4646 |
| 1 | 1903 | 4354 |
| 0 | 8475 | 4147 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (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))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
(/ (- (pow alpha 2) 1) (* (NAN) (PI))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(* (NAN) (PI)) |
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ alpha (* alpha (- alpha 1))) 1) |
(- (+ alpha (+ (* -1 (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)))) (* alpha (- alpha 1)))) 1) |
(* -1 (pow cosTheta 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))))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(* -1 cosTheta) |
(/ (- (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)) |
(/ (- (+ (/ 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)) |
(* (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)))) |
(/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) |
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 4) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (NAN) (* (PI) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2)))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) |
(* (pow cosTheta 2) (- (+ (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) |
(* -1 (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)))) |
(* (pow cosTheta 2) (- (+ (* -1 (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (+ (/ alpha (pow cosTheta 2)) (/ (* alpha (- alpha 1)) (pow cosTheta 2)))) (/ 1 (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 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)))) |
(/ -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 |
(- (pow alpha 2) 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)))))) |
(/ -1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(- (* (pow alpha 2) (- (+ (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2)))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1 (/ (pow cosTheta 2) (* (NAN) (* (PI) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (/ 1 (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))))) |
(* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) |
(+ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI))))) |
(- alpha 1) |
(* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) |
(+ (* 1/2 (/ (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2)))) (* (PI) (log alpha)))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (log alpha)))) (* 1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (PI) (log alpha))))))) |
(- (* -1 (pow cosTheta 2)) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2))))) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (* 2 (pow cosTheta 2)))))) 1) |
(* (pow cosTheta 2) (* (PI) (+ (* -2 (log alpha)) (* 2 (/ (log alpha) (pow cosTheta 2)))))) |
(+ (* 2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log alpha))))) (* (pow cosTheta 2) (* (PI) (+ (* -2 (log alpha)) (* 2 (/ (log alpha) (pow cosTheta 2))))))) |
(* 2 (log alpha)) |
(* 2 (* (PI) (log alpha))) |
(/ -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 (/ 1 (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))))) |
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))) |
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))) |
alpha |
(* alpha (- 1 (/ 1 alpha))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(* -1 (* (pow alpha 4) (pow cosTheta 2))) |
(* (pow alpha 4) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) |
(* (pow alpha 4) (- (+ (* -1 (/ (pow cosTheta 2) (pow alpha 4))) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 4)))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (/ (* (pow cosTheta 2) (* (PI) (+ (* -2 (/ (log (/ 1 alpha)) (pow cosTheta 2))) (* 2 (log (/ 1 alpha)))))) (pow alpha 2)))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(/ -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)))))) |
(* -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))))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (/ (* (pow cosTheta 2) (* (PI) (+ (* -2 (/ (log (/ -1 alpha)) (pow cosTheta 2))) (* 2 (log (/ -1 alpha)))))) (pow alpha 2)))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
| Outputs |
|---|
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(- (+ (* -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))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (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))))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(- (+ (* (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))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha)))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(* (PI) (log (pow alpha 2))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))))) |
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(/ (- (pow alpha 2) 1) (* (NAN) (PI))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (NAN.f32)) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (NAN) (PI)))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (NAN.f32) (PI.f32))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (NAN) (PI))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(fma.f32 (-.f32 (*.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (/.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (NAN.f32))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (NAN) (PI)))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (NAN) (PI)))))) (/ (pow (- (pow alpha 2) 1) 2) (* (NAN) (PI))))) (/ (pow alpha 2) (* (NAN) (PI)))) (/ 1 (* (NAN) (PI)))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (NAN.f32))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (PI.f32)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (NAN.f32)) (PI.f32))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (NAN.f32)) (PI.f32))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (NAN.f32))) |
(* (NAN) (PI)) |
(*.f32 (NAN.f32) (PI.f32)) |
(+ (* (NAN) (PI)) (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1))))) |
(fma.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta (*.f32 (NAN.f32) (PI.f32))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (fma.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32))) (*.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)))) (*.f32 cosTheta cosTheta) (*.f32 (neg.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(- (+ alpha (* alpha (- alpha 1))) 1) |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
(- (+ alpha (+ (* -1 (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)))) (* alpha (- alpha 1)))) 1) |
(-.f32 (fma.f32 (*.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha)) #s(literal 1 binary32)) |
(* -1 (pow cosTheta 2)) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(- (+ (* -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))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (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 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (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 (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
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(* -1 cosTheta) |
(neg.f32 cosTheta) |
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(* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1))))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (+ (* (PI) (* (log (pow alpha 2)) (* (+ 1 alpha) (- alpha 1)))) (/ (* (PI) (log (pow alpha 2))) (pow cosTheta 2)))) |
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(/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (NAN.f32) (PI.f32))) cosTheta) cosTheta) |
(/ (- (/ 1 (* (NAN) (PI))) (/ 1 (* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
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(* (pow cosTheta 2) (* (NAN) (* (PI) (- (pow alpha 2) 1)))) |
(*.f32 (*.f32 (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (NAN.f32)) cosTheta) cosTheta) |
(* (pow cosTheta 2) (+ (* (NAN) (* (PI) (- (pow alpha 2) 1))) (/ (* (NAN) (PI)) (pow cosTheta 2)))) |
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(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
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(* (pow cosTheta 2) (- (+ (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) |
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(* -1 (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)))) |
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(* (pow cosTheta 2) (- (+ (* -1 (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (+ (/ alpha (pow cosTheta 2)) (/ (* alpha (- alpha 1)) (pow cosTheta 2)))) (/ 1 (pow cosTheta 2)))) |
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(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 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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-1 |
#s(literal -1 binary32) |
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(pow alpha 2) |
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(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
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(* 2 (log alpha)) |
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(-.f32 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.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 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (neg.f32 (*.f32 (log.f32 alpha) (PI.f32)))) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (neg.f32 (log.f32 alpha)))))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 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))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)) (/.f32 (*.f32 (neg.f32 (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 alpha alpha)))) |
(- (/ 1 (* (pow cosTheta 2) (* (NAN) (PI)))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI)))))) |
(-.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (NAN.f32) (PI.f32))) cosTheta) cosTheta) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (NAN.f32)) (PI.f32)))) |
(- (+ (/ 1 (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))) (/ 1 (* (pow alpha 4) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(-.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (NAN.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (NAN.f32) (PI.f32))) cosTheta) cosTheta)) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 alpha #s(literal 4 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (NAN.f32)) (PI.f32)))) |
(- (+ (* -1 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (NAN) (PI)))))) (/ 1 (* (pow cosTheta 2) (* (NAN) (PI))))) (+ (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (NAN) (PI)))))) (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (NAN) (PI))))))) |
(-.f32 (-.f32 (fma.f32 (/.f32 #s(literal -1 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 8 binary32)) (PI.f32)) (NAN.f32))) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (NAN.f32) (PI.f32))) cosTheta) cosTheta)) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (NAN.f32)) (PI.f32)))) (/.f32 (/.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 cosTheta #s(literal 6 binary32)))) (*.f32 (NAN.f32) (PI.f32)))) |
(* (pow alpha 2) (* (pow cosTheta 2) (* (NAN) (PI)))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (NAN.f32)) (*.f32 (PI.f32) (*.f32 alpha alpha))) |
(* (pow alpha 2) (+ (* (pow cosTheta 2) (* (NAN) (PI))) (/ (* (NAN) (* (PI) (+ 1 (* -1 (pow cosTheta 2))))) (pow alpha 2)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 (NAN.f32) (PI.f32)) cosTheta) cosTheta (*.f32 (/.f32 (*.f32 (NAN.f32) (PI.f32)) alpha) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) alpha))) (*.f32 alpha alpha)) |
alpha |
(* alpha (- 1 (/ 1 alpha))) |
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ 1 alpha))))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (log.f32 alpha)))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha))))) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (neg.f32 (log.f32 alpha))) (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) |
(* -1 (* (pow alpha 4) (pow cosTheta 2))) |
(*.f32 (pow.f32 alpha #s(literal 4 binary32)) (*.f32 (neg.f32 cosTheta) cosTheta)) |
(* (pow alpha 4) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) |
(*.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha) (*.f32 cosTheta cosTheta)) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 4) (- (+ (* -1 (/ (pow cosTheta 2) (pow alpha 4))) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 4)))) |
(*.f32 (+.f32 (-.f32 (/.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha) (*.f32 cosTheta cosTheta)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (pow.f32 alpha #s(literal 4 binary32)))) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (/ (* (pow cosTheta 2) (* (PI) (+ (* -2 (/ (log (/ 1 alpha)) (pow cosTheta 2))) (* 2 (log (/ 1 alpha)))))) (pow alpha 2)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (neg.f32 (log.f32 alpha)) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (fma.f32 (/.f32 (neg.f32 (log.f32 alpha)) (*.f32 cosTheta cosTheta)) #s(literal -2 binary32) (*.f32 #s(literal -2 binary32) (log.f32 alpha)))) (*.f32 alpha alpha))) (*.f32 alpha alpha)) |
(* -2 (log (/ 1 alpha))) |
(neg.f32 (*.f32 #s(literal -2 binary32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (neg.f32 (log.f32 alpha))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) 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 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) 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 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 4 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) alpha) alpha) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal -1/2 binary32)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32))) (*.f32 alpha alpha)))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(*.f32 (neg.f32 alpha) (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ -1 alpha))))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 2) (+ (* -2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) (/ (* (pow cosTheta 2) (* (PI) (+ (* -2 (/ (log (/ -1 alpha)) (pow cosTheta 2))) (* 2 (log (/ -1 alpha)))))) (pow alpha 2)))) |
(*.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) (/.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 #s(literal -2 binary32) (-.f32 (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 cosTheta cosTheta)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 alpha alpha))) (*.f32 alpha alpha)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 451 |
| 0 | 105 | 449 |
| 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 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))) |
(*.f32 (NAN.f32) (PI.f32)) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(NAN.f32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(neg.f32 cosTheta) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
#s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32))) |
(*.f32 (NAN.f32) (PI.f32)) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(fma.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 alpha #s(literal 1 binary32)) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(+.f32 (*.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (neg.f32 cosTheta) cosTheta) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta))) |
(*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)) |
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(NAN.f32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(neg.f32 cosTheta) |
Compiled 12 363 to 941 computations (92.4% saved)
33 alts after pruning (29 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 179 | 17 | 196 |
| Fresh | 10 | 12 | 22 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 192 | 33 | 225 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 94.8% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| ▶ | 94.9% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
| 94.6% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| ✓ | -0.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
| ✓ | 97.6% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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)))) |
| 94.0% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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)))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 97.8% | (/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (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)))) | |
| 97.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.7% | (/.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)))) |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 98.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))) | |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) | |
| 94.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 95.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) | |
| 98.2% | (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.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)))) | |
| 98.6% | (/.f32 #s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) | |
| 98.1% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) | |
| 98.1% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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)))) | |
| ✓ | 67.5% | (/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
| 32.8% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) | |
| ▶ | 65.9% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| 32.7% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 #s(literal -2 binary32) (-.f32 (log.f32 alpha) (/.f32 (/.f32 (log.f32 alpha) cosTheta) cosTheta))))))) | |
| 96.2% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (PI.f32))))) | |
| ▶ | 94.1% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
| 94.6% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) | |
| ▶ | 97.0% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| 96.6% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 66.8% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 49.1% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (*.f32 (fma.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 96.5% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (neg.f32 (log.f32 alpha))) (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))))) | |
| 66.8% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
Compiled 3 078 to 1 691 computations (45.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) | |
| cost-diff | 0 | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) | |
| cost-diff | 1 | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) | |
| cost-diff | 0 | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| cost-diff | 1 | (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) | |
| cost-diff | 3 | (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) | |
| cost-diff | 3 | (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) | |
| cost-diff | 0 | (-.f32 alpha #s(literal 1 binary32)) | |
| cost-diff | 0 | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) | |
| cost-diff | 2 | (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) | |
| cost-diff | 4 | (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| cost-diff | 0 | (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) | |
| cost-diff | 0 | #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) | |
| cost-diff | 0 | #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) | |
| cost-diff | 0 | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 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 (*.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 | 1 | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 625 |
| 0 | 112 | 580 |
| 1 | 268 | 553 |
| 2 | 1000 | 544 |
| 3 | 7977 | 544 |
| 0 | 8002 | 541 |
| 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))) (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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(PI.f32) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32))) |
(*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)) |
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(log.f32 alpha) |
#s(literal 2 binary32) |
(PI.f32) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(PI.f32) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
alpha |
#s(literal 6 binary32) |
#s(literal 1 binary32) |
(PI.f32) |
(*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) |
(fma.f32 alpha alpha #s(literal 1 binary32)) |
(+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)) |
(fma.f32 alpha alpha alpha) |
| Outputs |
|---|
(/.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha))) |
(-.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))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 (fma.f32 (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.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)) |
#s(literal -1 binary32) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(literal -1 binary32) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
alpha |
(PI.f32) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
(-.f32 alpha #s(literal 1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32))) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32))) |
(*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)) |
(*.f32 #s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
#s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) |
#s(approx (log (* alpha alpha)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) |
(*.f32 (log.f32 alpha) #s(literal 2 binary32)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(log.f32 alpha) |
#s(literal 2 binary32) |
(PI.f32) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(/.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(*.f32 cosTheta cosTheta) |
cosTheta |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) |
(*.f32 alpha alpha) |
(-.f32 alpha #s(literal 1 binary32)) |
alpha |
#s(literal 1 binary32) |
(neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) |
(-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
#s(literal -1 binary32) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(PI.f32) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha alpha) (PI.f32) (PI.f32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) |
(/.f32 (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha alpha) (PI.f32) (PI.f32))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (log.f32 (*.f32 alpha alpha))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(pow.f32 alpha #s(literal 6 binary32)) |
alpha |
#s(literal 6 binary32) |
#s(literal 1 binary32) |
(PI.f32) |
(*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) |
(*.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) alpha #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) |
(*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) |
(fma.f32 alpha alpha #s(literal 1 binary32)) |
(+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)) |
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) alpha #s(literal 1 binary32)) |
(fma.f32 alpha alpha alpha) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3958587890737681 | (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) | |
| accuracy | 0.4186325195368841 | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) | |
| accuracy | 0.5234375 | (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) | |
| accuracy | 1.2471234917656557 | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) | |
| accuracy | 0.28125 | (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) | |
| accuracy | 0.3359375 | (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) | |
| accuracy | 0.5725481809520324 | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| accuracy | 4.543808360066933 | (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) | |
| accuracy | 0.21484375 | (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) | |
| accuracy | 0.28515625 | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) | |
| accuracy | 0.3359375 | (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)) | |
| accuracy | 1.2460051614026921 | #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32))) | |
| accuracy | 0.28515625 | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| accuracy | 0.3359375 | (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) | |
| accuracy | 1.2460051614026921 | #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) | |
| accuracy | 10.772331168301157 | #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) | |
| accuracy | 0.045253759768442016 | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) | |
| accuracy | 0.07097626953688403 | (log.f32 (*.f32 alpha alpha)) | |
| accuracy | 0.28515625 | (/.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)))) | |
| accuracy | 0.3359375 | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 128.0ms | 256× | 0 | valid |
Compiled 547 to 54 computations (90.1% saved)
ival-mult: 30.0ms (38.8% of total)ival-add: 19.0ms (24.6% of total)ival-div: 12.0ms (15.5% of total)ival-sub: 5.0ms (6.5% of total)ival-log: 5.0ms (6.5% of total)ival-pow: 3.0ms (3.9% of total)ival-pi: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(-.f32 (*.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))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(-.f32 alpha #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(log.f32 (*.f32 alpha alpha)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32))) |
(*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)) |
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) |
(*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) |
| Outputs |
|---|
(/ (- (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))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ alpha (* alpha (- alpha 1))) 1) |
(- (+ alpha (+ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))))) 1) |
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (/ alpha (* (PI) (log (pow alpha 2)))) (+ (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))) (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))) (* (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)) |
(* (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)))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))) |
(* (pow cosTheta 2) (- (+ (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1)) (+ (/ alpha (pow cosTheta 2)) (/ (* alpha (- alpha 1)) (pow cosTheta 2)))) (/ 1 (pow cosTheta 2)))) |
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (+ (/ (pow alpha 6) (* (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 alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(/ (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))) (* (PI) (log (pow alpha 2)))) |
(* (pow cosTheta 2) (- (+ (/ alpha (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) |
-1 |
(- (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)))))))) |
(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))) |
(- alpha 1) |
(- (* -1 (pow cosTheta 2)) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2))))) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (* 2 (pow cosTheta 2)))))) 1) |
(/ -1/2 (* (PI) (log alpha))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(- (* 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 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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 (PI)) |
(- (/ (pow alpha 6) (PI)) (/ 1 (PI))) |
(- (pow alpha 6) 1) |
(* 2 (log alpha)) |
(* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) |
(+ (* 1/2 (/ (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2)))) (* (PI) (log alpha)))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (log alpha)))) (* 1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (PI) (log alpha))))))) |
1 |
(+ 1 (* -1 alpha)) |
(+ 1 (* alpha (- alpha 1))) |
(+ (* 2 (log alpha)) (* 2 (* (pow alpha 2) (log alpha)))) |
(+ (* 2 (log alpha)) (* (pow alpha 2) (+ (* 2 (log alpha)) (* 2 (* (pow alpha 2) (log alpha)))))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 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)))))) |
(* -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))))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
alpha |
(* alpha (- 1 (/ 1 alpha))) |
(* -1 (* (pow alpha 4) (pow cosTheta 2))) |
(* (pow alpha 4) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) |
(* (pow alpha 4) (- (+ (* -1 (/ (pow cosTheta 2) (pow alpha 4))) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 4)))) |
(* -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))))))) |
(- (* 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))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))) |
(/ (pow alpha 6) (PI)) |
(* (pow alpha 6) (- (/ 1 (PI)) (/ 1 (* (pow alpha 6) (PI))))) |
(pow alpha 6) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* -2 (log (/ 1 alpha))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(* (pow alpha 2) (- 1 (/ 1 alpha))) |
(* (pow alpha 2) (- (+ 1 (/ 1 (pow alpha 2))) (/ 1 alpha))) |
(* -2 (* (pow alpha 4) (log (/ 1 alpha)))) |
(* (pow alpha 4) (+ (* -2 (log (/ 1 alpha))) (* -2 (/ (log (/ 1 alpha)) (pow alpha 2))))) |
(* (pow alpha 4) (+ (* -2 (log (/ 1 alpha))) (+ (* -2 (/ (log (/ 1 alpha)) (pow alpha 2))) (* -2 (/ (log (/ 1 alpha)) (pow alpha 4)))))) |
(/ -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)))))) |
(* -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))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(* -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))))))) |
(- (* 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))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))) |
(* -2 (log (/ -1 alpha))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha)))) |
(* -2 (* (pow alpha 4) (log (/ -1 alpha)))) |
(* (pow alpha 4) (+ (* -2 (log (/ -1 alpha))) (* -2 (/ (log (/ -1 alpha)) (pow alpha 2))))) |
(* (pow alpha 4) (+ (* -2 (log (/ -1 alpha))) (+ (* -2 (/ (log (/ -1 alpha)) (pow alpha 2))) (* -2 (/ (log (/ -1 alpha)) (pow alpha 4)))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | alpha | @ | -inf | ((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (+ (* (- alpha 1) alpha) alpha) (- (+ (* (- alpha 1) alpha) alpha) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (PI)) (- (pow alpha 6) 1) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (- (+ (* alpha alpha) 1) alpha) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) |
| 23.0ms | cosTheta | @ | inf | ((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (+ (* (- alpha 1) alpha) alpha) (- (+ (* (- alpha 1) alpha) alpha) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (PI)) (- (pow alpha 6) 1) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (- (+ (* alpha alpha) 1) alpha) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) |
| 11.0ms | alpha | @ | inf | ((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (+ (* (- alpha 1) alpha) alpha) (- (+ (* (- alpha 1) alpha) alpha) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (PI)) (- (pow alpha 6) 1) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (- (+ (* alpha alpha) 1) alpha) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) |
| 10.0ms | alpha | @ | 0 | ((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (+ (* (- alpha 1) alpha) alpha) (- (+ (* (- alpha 1) alpha) alpha) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (PI)) (- (pow alpha 6) 1) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (- (+ (* alpha alpha) 1) alpha) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) |
| 5.0ms | cosTheta | @ | 0 | ((- (* alpha alpha) 1) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (* alpha alpha) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (- alpha 1) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (- alpha 1) (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (+ (* (- alpha 1) alpha) alpha) (- (+ (* (- alpha 1) alpha) alpha) 1) (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/ (- (pow alpha 6) 1) (PI)) (- (pow alpha 6) 1) (* (PI) (log (* alpha alpha))) (log (* alpha alpha)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (* (log (* alpha alpha)) (PI)) (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (- (+ (* alpha alpha) 1) alpha) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 635 | 5402 |
| 1 | 2135 | 4926 |
| 0 | 8817 | 4776 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (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))))) |
(* (PI) (log (pow alpha 2))) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ alpha (* alpha (- alpha 1))) 1) |
(- (+ alpha (+ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))))) 1) |
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (pow alpha 2) 1) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (pow (- (pow alpha 2) 1) 3) (- (pow alpha 6) 1))) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (* -1 (/ (* (pow (- (pow alpha 2) 1) 2) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))))) (/ (* (- (pow alpha 2) 1) (- (pow alpha 6) 1)) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))))) (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha)))))) |
(- (+ (/ alpha (* (PI) (log (pow alpha 2)))) (+ (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))) (/ (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))) (* (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)) |
(* (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)))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ alpha (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ alpha (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ (* alpha (- alpha 1)) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3)))))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))) (+ (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))) (+ (/ alpha (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (+ (/ alpha (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2))))) (/ (* alpha (- alpha 1)) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))) |
(* (pow cosTheta 2) (- (+ (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1)) (+ (/ alpha (pow cosTheta 2)) (/ (* alpha (- alpha 1)) (pow cosTheta 2)))) (/ 1 (pow cosTheta 2)))) |
(/ (- (pow alpha 6) 1) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1))))))) (+ (/ 1 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (/ (pow alpha 6) (* (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)) |
(/ (- (+ (/ 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 cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))) (+ (/ (pow alpha 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (/ (pow alpha 6) (* (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 (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (- (pow alpha 2) 1)))))) (+ (/ 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))))))) (+ (/ (pow alpha 6) (* (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 alpha 6) (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (* (- (+ 1 (pow alpha 2)) alpha) (pow (- (pow alpha 2) 1) 4))))))))))) (pow cosTheta 2)) |
(/ (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))) (* (PI) (log (pow alpha 2)))) |
(* (pow cosTheta 2) (- (+ (/ alpha (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (+ (/ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) (/ (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))))) |
-1 |
(- (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)))))))) |
(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))) |
(- alpha 1) |
(- (* -1 (pow cosTheta 2)) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2))))) 1) |
(- (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (+ 1 (+ (* -1 (* (pow alpha 2) (pow cosTheta 2))) (* 2 (pow cosTheta 2)))))) 1) |
(/ -1/2 (* (PI) (log alpha))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(- (* 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 (* (pow alpha 2) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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) (- (* (pow alpha 2) (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 3))))))) (+ 1 (* -1 (pow cosTheta 2))))) (+ (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 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 (+ (* -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 (PI)) |
(- (/ (pow alpha 6) (PI)) (/ 1 (PI))) |
(- (pow alpha 6) 1) |
(* 2 (log alpha)) |
(* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) |
(+ (* 1/2 (/ (* (pow alpha 2) (+ 1 (* 2 (pow cosTheta 2)))) (* (PI) (log alpha)))) (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (PI) (log alpha)))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (pow cosTheta 2)) (* (PI) (log alpha)))) (* 1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (PI) (log alpha))))))) |
1 |
(+ 1 (* -1 alpha)) |
(+ 1 (* alpha (- alpha 1))) |
(+ (* 2 (log alpha)) (* 2 (* (pow alpha 2) (log alpha)))) |
(+ (* 2 (log alpha)) (* (pow alpha 2) (+ (* 2 (log alpha)) (* 2 (* (pow alpha 2) (log alpha)))))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 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)))))) |
(* -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))))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
alpha |
(* alpha (- 1 (/ 1 alpha))) |
(* -1 (* (pow alpha 4) (pow cosTheta 2))) |
(* (pow alpha 4) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) |
(* (pow alpha 4) (- (+ (* -1 (/ (pow cosTheta 2) (pow alpha 4))) (+ (* -1 (pow cosTheta 2)) (+ (* 2 (/ (pow cosTheta 2) (pow alpha 2))) (/ 1 (pow alpha 2))))) (/ 1 (pow alpha 4)))) |
(* -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))))))) |
(- (* 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))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))))))) |
(/ (pow alpha 6) (PI)) |
(* (pow alpha 6) (- (/ 1 (PI)) (/ 1 (* (pow alpha 6) (PI))))) |
(pow alpha 6) |
(* (pow alpha 6) (- 1 (/ 1 (pow alpha 6)))) |
(* -2 (log (/ 1 alpha))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(* (pow alpha 2) (- 1 (/ 1 alpha))) |
(* (pow alpha 2) (- (+ 1 (/ 1 (pow alpha 2))) (/ 1 alpha))) |
(* -2 (* (pow alpha 4) (log (/ 1 alpha)))) |
(* (pow alpha 4) (+ (* -2 (log (/ 1 alpha))) (* -2 (/ (log (/ 1 alpha)) (pow alpha 2))))) |
(* (pow alpha 4) (+ (* -2 (log (/ 1 alpha))) (+ (* -2 (/ (log (/ 1 alpha)) (pow alpha 2))) (* -2 (/ (log (/ 1 alpha)) (pow alpha 4)))))) |
(/ -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)))))) |
(* -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))))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(* -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))))))) |
(- (* 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))))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))) |
(* -2 (log (/ -1 alpha))) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha)))) |
(* -2 (* (pow alpha 4) (log (/ -1 alpha)))) |
(* (pow alpha 4) (+ (* -2 (log (/ -1 alpha))) (* -2 (/ (log (/ -1 alpha)) (pow alpha 2))))) |
(* (pow alpha 4) (+ (* -2 (log (/ -1 alpha))) (+ (* -2 (/ (log (/ -1 alpha)) (pow alpha 2))) (* -2 (/ (log (/ -1 alpha)) (pow alpha 4)))))) |
| Outputs |
|---|
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (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))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (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 (-.f32 (*.f32 (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (*.f32 alpha alpha))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (PI.f32))) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (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 (*.f32 (fma.f32 (neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 4 binary32)) (log.f32 (*.f32 alpha alpha))) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta)) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(* (PI) (log (pow alpha 2))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(+ (* (PI) (log (pow alpha 2))) (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) |
(fma.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (log.f32 (*.f32 alpha alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(/ (- (+ alpha (* alpha (- alpha 1))) 1) (* (PI) (log (pow alpha 2)))) |
(/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1))) (* (PI) (log (pow alpha 2))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2))) (* (PI) (log (pow alpha 2)))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (-.f32 (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32))) (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 3))) (* (PI) (log (pow alpha 2))))) (* -1 (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))))) (/ (* (- (+ alpha (* alpha (- alpha 1))) 1) (- (pow alpha 2) 1)) (* (PI) (log (pow alpha 2)))))) (+ (/ alpha (* (PI) (log (pow alpha 2)))) (/ (* alpha (- alpha 1)) (* (PI) (log (pow alpha 2)))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(fma.f32 (-.f32 (*.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 3 binary32)) (PI.f32)) (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(literal 2 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta)) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha))))) (*.f32 cosTheta cosTheta) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(- (+ alpha (* alpha (- alpha 1))) 1) |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
(- (+ alpha (+ (* alpha (- alpha 1)) (* (pow cosTheta 2) (* (- 1 (pow alpha 2)) (- (+ alpha (* alpha (- alpha 1))) 1))))) 1) |
(-.f32 (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 cosTheta cosTheta) (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha)) #s(literal 1 binary32)) |
(/ (- (pow alpha 6) 1) (* (PI) (* (log (pow alpha 2)) (* (+ 1 (+ alpha (pow alpha 2))) (- (+ 1 (pow alpha 2)) alpha))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) |
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-1 |
#s(literal -1 binary32) |
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alpha |
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(*.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) alpha)) (*.f32 alpha alpha)) |
(* -2 (* (pow alpha 4) (log (/ 1 alpha)))) |
(*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -2 binary32)) (neg.f32 (log.f32 alpha))) |
(* (pow alpha 4) (+ (* -2 (log (/ 1 alpha))) (* -2 (/ (log (/ 1 alpha)) (pow alpha 2))))) |
(*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -2 binary32)) (+.f32 (neg.f32 (log.f32 alpha)) (/.f32 (neg.f32 (log.f32 alpha)) (*.f32 alpha alpha)))) |
(* (pow alpha 4) (+ (* -2 (log (/ 1 alpha))) (+ (* -2 (/ (log (/ 1 alpha)) (pow alpha 2))) (* -2 (/ (log (/ 1 alpha)) (pow alpha 4)))))) |
(*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (+.f32 (/.f32 (neg.f32 (log.f32 alpha)) (*.f32 alpha alpha)) (/.f32 (neg.f32 (log.f32 alpha)) (pow.f32 alpha #s(literal 4 binary32)))) (neg.f32 (log.f32 alpha)))) (pow.f32 alpha #s(literal 4 binary32))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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 (fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 alpha alpha)) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 alpha alpha)) (fma.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) cosTheta) cosTheta)) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))))) |
(* -2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) 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))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) #s(literal -2 binary32)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (*.f32 #s(literal -2 binary32) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* -1 (* alpha (- (/ 1 alpha) 1))) |
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) alpha) #s(literal 1 binary32)) (neg.f32 alpha)) |
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha))))) |
(/.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 alpha alpha) (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 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 alpha alpha) (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)) (PI.f32)))) (*.f32 alpha alpha)) |
(- (* 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))))))) |
(-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) |
(- (* -1 (/ (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha))))))) (pow alpha 4))) (+ (* -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)))))))) |
(-.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (neg.f32 (pow.f32 alpha #s(literal 4 binary32)))) (-.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))) |
(- (/ 1/2 (* (pow alpha 6) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1 (/ (* (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (+ (* -1/2 (/ (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow (+ 1 (+ (* -1 (pow cosTheta 2)) (pow cosTheta 2))) 2) (* (pow cosTheta 6) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 2)))) (+ (* -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 (+ 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 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))))))) |
(-.f32 (/.f32 (/.f32 #s(literal 1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (pow.f32 alpha #s(literal 6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (-.f32 (+.f32 (+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (pow.f32 alpha #s(literal 4 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))) (/.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (pow.f32 alpha #s(literal 6 binary32))) (*.f32 cosTheta cosTheta)))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) #s(literal -2 binary32)) |
(* 1/2 (/ (* (pow alpha 4) (pow cosTheta 2)) (* (PI) (log (/ -1 alpha))))) |
(*.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (/.f32 (*.f32 cosTheta cosTheta) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) |
(*.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))))) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 4) (+ (* -1/2 (/ (+ 1 (* 2 (pow cosTheta 2))) (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (- (* -1 (pow cosTheta 2)) 1) (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32))) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 alpha alpha) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))))) (pow.f32 alpha #s(literal 4 binary32))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (- 1 (/ 1 alpha)) alpha)))) |
(*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) alpha) alpha) |
(* -2 (* (pow alpha 4) (log (/ -1 alpha)))) |
(*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -2 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* (pow alpha 4) (+ (* -2 (log (/ -1 alpha))) (* -2 (/ (log (/ -1 alpha)) (pow alpha 2))))) |
(*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) #s(literal -2 binary32)) (+.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha)))) |
(* (pow alpha 4) (+ (* -2 (log (/ -1 alpha))) (+ (* -2 (/ (log (/ -1 alpha)) (pow alpha 2))) (* -2 (/ (log (/ -1 alpha)) (pow alpha 4)))))) |
(*.f32 (*.f32 #s(literal -2 binary32) (+.f32 (+.f32 (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 alpha alpha)) (/.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (pow.f32 alpha #s(literal 4 binary32)))) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (pow.f32 alpha #s(literal 4 binary32))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 491 |
| 0 | 112 | 450 |
| 1 | 478 | 392 |
| 2 | 4351 | 386 |
| 0 | 8934 | 386 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f32 (*.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))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #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 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32)) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(-.f32 alpha #s(literal 1 binary32)) |
(fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) |
(fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) |
(-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) |
(-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(log.f32 (*.f32 alpha alpha)) |
#s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32))) |
(*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)) |
(/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))) |
(-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) |
(*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) |
| Outputs |
|---|
(expm1.f32 (*.f32 (log.f32 (neg.f32 alpha)) #s(literal 2 binary32))) |
(expm1.f32 (*.f32 (log.f32 (fabs.f32 alpha)) #s(literal 2 binary32))) |
(expm1.f32 (log.f32 (*.f32 alpha alpha))) |
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(/.f32 (*.f32 (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 3 binary32)) (pow.f32 alpha #s(literal 6 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha alpha)) (pow.f32 alpha #s(literal 4 binary32)))) |
(/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (-.f32 (pow.f32 (fma.f32 alpha alpha alpha) #s(literal 2 binary32)) #s(literal 1 binary32))) (-.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) |
(/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (-.f32 (pow.f32 alpha #s(literal 4 binary32)) (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 2 binary32)))) (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) alpha)) |
(/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 (pow.f32 (fma.f32 alpha alpha alpha) #s(literal 3 binary32)) #s(literal 1 binary32))) (-.f32 (+.f32 (pow.f32 (fma.f32 alpha alpha alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (fma.f32 alpha alpha alpha))) |
(/.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 (pow.f32 (+.f32 #s(literal 1 binary32) alpha) #s(literal 3 binary32)) (pow.f32 alpha #s(literal 6 binary32)))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha alpha)) (pow.f32 alpha #s(literal 4 binary32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) #s(literal 2 binary32))) (-.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) #s(literal 2 binary32)) (*.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))))) |
(-.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 #s(literal -1 binary32) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(-.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (neg.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) #s(literal 1 binary32))) |
(fma.f32 (*.f32 (fma.f32 alpha alpha alpha) (log.f32 (*.f32 alpha alpha))) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 (fma.f32 alpha alpha alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (log.f32 (*.f32 alpha alpha)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 #s(literal 1 binary32) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha)) alpha (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) alpha) alpha) (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 alpha (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) alpha)) |
(fma.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 alpha alpha) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha))) |
(fma.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha alpha)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) #s(literal 1 binary32)) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 alpha (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (fma.f32 alpha alpha alpha)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) alpha) alpha) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))) |
(fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(+.f32 (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 alpha (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(+.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
(+.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) alpha) alpha))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (log.f32 (*.f32 alpha alpha)))) |
(+.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) alpha)) |
(+.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 alpha alpha))) |
(+.f32 (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 alpha alpha)) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) alpha))) |
(+.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) alpha) alpha)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)))) |
(+.f32 (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha)))) |
(+.f32 (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))) (*.f32 (fma.f32 alpha alpha alpha) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (log.f32 (*.f32 alpha alpha))))) |
Compiled 55 755 to 3 786 computations (93.2% saved)
45 alts after pruning (40 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 957 | 32 | 989 |
| Fresh | 16 | 8 | 24 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 977 | 45 | 1 022 |
| Status | Accuracy | Program |
|---|---|---|
| 94.8% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) | |
| 94.9% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) | |
| 94.0% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) | |
| 94.2% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| ✓ | 94.8% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| 94.6% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 94.7% | (/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha #s(approx (* (- alpha 1) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) | |
| 98.5% | (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) 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)))) | |
| 98.6% | (/.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)))) | |
| ✓ | -0.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
| 94.9% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) | |
| ✓ | 97.6% | (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) 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)))) | |
| 94.5% | (/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 alpha #s(literal 0 binary32)) alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 alpha #s(literal 0 binary32)) alpha #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) | |
| 98.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) | |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) | |
| 97.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) | |
| 94.9% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 95.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) | |
| 98.1% | (/.f32 (+.f32 alpha (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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)))) | |
| 98.2% | (/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) 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)))) | |
| 98.1% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) | |
| 98.2% | (/.f32 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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)))) | |
| 67.5% | (/.f32 #s(approx (- (* alpha alpha) 1) #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)))) | |
| ✓ | 67.5% | (/.f32 #s(approx (- (* alpha alpha) 1) #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)))) |
| 65.9% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) | |
| 32.8% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) | |
| ✓ | 65.9% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| 66.0% | (/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) | |
| 98.1% | (*.f32 (/.f32 (-.f32 alpha #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) | |
| 98.1% | (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))))) | |
| 94.4% | (*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) | |
| 94.3% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) | |
| 94.4% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (-.f32 (pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 alpha alpha)))) (PI.f32)))) | |
| 83.1% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ (- (pow alpha 6) 1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) | |
| 65.9% | #s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) | |
| 94.6% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) | |
| 67.5% | #s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) | |
| 97.0% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 96.8% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))) | |
| 96.6% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 66.8% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 49.1% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (*.f32 (fma.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) | |
| 66.8% | #s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
Compiled 5 773 to 1 570 computations (72.8% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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 (-.f32 alpha #s(literal 1 binary32)) alpha #s(approx (* (- alpha 1) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 #s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) 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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ (- (pow alpha 6) 1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (+.f32 alpha (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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 (*.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 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) 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 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) 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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (*.f32 (fma.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) cosTheta) (neg.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 alpha #s(literal 0 binary32)) alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 alpha #s(literal 0 binary32)) alpha #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) alpha) (PI.f32)) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (log.f32 (pow.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 #s(literal 1 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) (/.f32 (+.f32 #s(literal 1 binary32) alpha) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) #s(approx (* (* (PI) (+ (* (log (* alpha alpha)) (- (* alpha alpha) 1)) (/ (log (* alpha alpha)) (* cosTheta cosTheta)))) (* cosTheta cosTheta)) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (*.f32 #s(literal -2 binary32) (-.f32 (log.f32 alpha) (/.f32 (/.f32 (log.f32 alpha) cosTheta) cosTheta))))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (PI.f32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha (-.f32 #s(literal 1 binary32) alpha))) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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)))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(literal 2 binary32) (fma.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta) (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (PI.f32)) (log.f32 alpha)))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 4 binary32)) #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 #s(approx (- (* alpha alpha) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (*.f32 alpha alpha))) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (PI.f32) (fma.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (/.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 cosTheta cosTheta)))) (*.f32 cosTheta cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (/.f32 (-.f32 (pow.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 2 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 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 (*.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 alpha #s(literal -1 binary32)) (+.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) alpha) (-.f32 (fma.f32 alpha 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 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (-.f32 (pow.f32 alpha #s(literal 3 binary32)) #s(literal 1 binary32))) (*.f32 (-.f32 alpha #s(literal 1 binary32)) (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)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))) (*.f32 (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (fma.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) #s(literal 2 binary32)))) (log.f32 alpha))) (*.f32 alpha alpha) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (-.f32 (pow.f32 alpha #s(literal 6 binary32)) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (-.f32 (pow.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) #s(literal 2 binary32)) (*.f32 alpha alpha)))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (cbrt.f32 (PI.f32)) #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (log.f32 (pow.f32 (*.f32 alpha alpha) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 2 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (fma.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 alpha alpha) (PI.f32))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) (neg.f32 (log.f32 alpha))) (*.f32 #s(literal -1/2 binary32) (-.f32 (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (*.f32 (*.f32 (pow.f32 alpha #s(literal 4 binary32)) (PI.f32)) (neg.f32 (log.f32 alpha)))) (/.f32 (/.f32 (*.f32 cosTheta cosTheta) (PI.f32)) (neg.f32 (log.f32 alpha)))))) (pow.f32 alpha #s(literal 4 binary32))))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
4 calls:
| 41.0ms | cosTheta |
| 36.0ms | (/.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)))) |
| 36.0ms | alpha |
| 20.0ms | (*.f32 alpha alpha) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (*.f32 alpha alpha) |
| 98.7% | 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)))) |
| 98.7% | 1 | cosTheta |
| 98.7% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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 (-.f32 alpha #s(literal 1 binary32)) alpha #s(approx (* (- alpha 1) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 #s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) 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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ (- (pow alpha 6) 1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (+.f32 alpha (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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 (*.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 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) #s(approx (log (* alpha alpha)) (*.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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #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)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (*.f32 cosTheta cosTheta) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (neg.f32 cosTheta) cosTheta) (*.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (+.f32 #s(literal 1 binary32) 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 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha))) 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 (+.f32 #s(literal 1 binary32) alpha) (/.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) alpha)) (*.f32 (-.f32 alpha #s(literal 1 binary32)) 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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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 #s(approx (- (* alpha alpha) 1) (*.f32 (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) alpha) alpha)) alpha) alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (*.f32 (fma.f32 (neg.f32 (fma.f32 alpha alpha #s(literal -1 binary32))) (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) (/.f32 (/.f32 (-.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (log.f32 (pow.f32 (*.f32 alpha alpha) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (fma.f32 (*.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 2 binary32)) cosTheta) (neg.f32 cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (pow.f32 (*.f32 (-.f32 alpha #s(literal 0 binary32)) alpha) #s(literal 2 binary32)) #s(literal 1 binary32)) (*.f32 (fma.f32 (-.f32 alpha #s(literal 0 binary32)) alpha #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (pow.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) #s(literal 2 binary32))) (log.f32 (*.f32 alpha alpha))) (PI.f32))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
4 calls:
| 17.0ms | (/.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)))) |
| 17.0ms | cosTheta |
| 15.0ms | alpha |
| 15.0ms | (*.f32 alpha alpha) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (*.f32 alpha alpha) |
| 98.7% | 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)))) |
| 98.7% | 1 | cosTheta |
| 98.7% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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 (-.f32 alpha #s(literal 1 binary32)) alpha #s(approx (* (- alpha 1) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (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 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (fma.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32) #s(literal 1 binary32)) alpha) alpha (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 #s(approx (- (* alpha alpha) 1) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) cosTheta) cosTheta) #s(literal 1 binary32)))) |
(/.f32 (*.f32 (-.f32 alpha #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) 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 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 #s(approx (- alpha 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (/ (- (pow alpha 6) 1) (PI)) (/.f32 #s(literal -1 binary32) (PI.f32))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (-.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) alpha)) (+.f32 (fma.f32 alpha alpha alpha) #s(literal 1 binary32))))) |
(/.f32 (+.f32 alpha (-.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) 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 (*.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 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 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))) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
4 calls:
| 22.0ms | (*.f32 alpha alpha) |
| 12.0ms | alpha |
| 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)))) |
| 10.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | (*.f32 alpha alpha) |
| 98.7% | 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)))) |
| 98.7% | 1 | cosTheta |
| 98.7% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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 (-.f32 alpha #s(literal 1 binary32)) alpha #s(approx (* (- alpha 1) 1) (*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) alpha)) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) alpha))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
| 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:
| 9.0ms | (*.f32 alpha alpha) |
| 8.0ms | alpha |
| 8.0ms | (/.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)))) |
| 8.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | (*.f32 alpha alpha) |
| 98.6% | 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)))) |
| 98.6% | 1 | cosTheta |
| 98.6% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #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))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
4 calls:
| 15.0ms | (*.f32 alpha alpha) |
| 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 | alpha |
| 7.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (*.f32 alpha alpha) |
| 97.4% | 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)))) |
| 97.4% | 1 | cosTheta |
| 97.4% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
4 calls:
| 14.0ms | cosTheta |
| 12.0ms | (/.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)))) |
| 12.0ms | alpha |
| 12.0ms | (*.f32 alpha alpha) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.4% | 1 | (*.f32 alpha alpha) |
| 97.4% | 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)))) |
| 97.4% | 1 | cosTheta |
| 97.4% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(*.f32 (-.f32 alpha #s(literal 1 binary32)) (/.f32 (+.f32 #s(literal 1 binary32) alpha) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32))))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (-.f32 alpha #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) #s(literal 1 binary32)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
#s(approx (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ (* (+ (* alpha alpha) -1) (* cosTheta cosTheta)) 1))) (/.f32 (/.f32 #s(literal -1/2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha)))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (neg cosTheta) cosTheta) (* (- (+ (* (- alpha 1) alpha) alpha) 1) (- (* alpha alpha) 1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
#s(approx (/ (+ (* (- alpha 1) alpha) (* (- alpha 1) 1)) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (+ (* (* (* cosTheta cosTheta) (- (+ (* (- alpha 1) alpha) alpha) 1)) (neg (+ (* alpha alpha) -1))) (- (+ (* (- alpha 1) alpha) alpha) 1)) (* (log (* alpha alpha)) (PI))) (*.f32 (/.f32 #s(literal 1/2 binary32) (log.f32 alpha)) (/.f32 (-.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (*.f32 (log.f32 alpha) #s(literal 2 binary32))) (PI.f32)))) |
(/.f32 (fma.f32 (-.f32 alpha #s(literal 1 binary32)) alpha (*.f32 (-.f32 alpha #s(literal 1 binary32)) #s(literal 1 binary32))) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
4 calls:
| 8.0ms | (*.f32 alpha alpha) |
| 6.0ms | alpha |
| 6.0ms | (/.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)))) |
| 6.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | (*.f32 alpha alpha) |
| 94.9% | 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)))) |
| 94.9% | 1 | cosTheta |
| 94.9% | 1 | alpha |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
4 calls:
| 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 |
| 2.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 1 | (*.f32 alpha alpha) |
| 94.9% | 1 | cosTheta |
| 94.9% | 1 | alpha |
| 94.9% | 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)))) |
Compiled 29 to 20 computations (31% saved)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 #s(approx (- (* alpha alpha) 1) #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
| Outputs |
|---|
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
4 calls:
| 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 |
| 2.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.9% | 1 | cosTheta |
| 65.9% | 1 | (*.f32 alpha alpha) |
| 65.9% | 1 | alpha |
| 65.9% | 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)))) |
Compiled 29 to 20 computations (31% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (fma.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) cosTheta #s(literal 1 binary32))) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
4 calls:
| 3.0ms | alpha |
| 1.0ms | (/.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)))) |
| 1.0ms | cosTheta |
| 1.0ms | (*.f32 alpha alpha) |
| Accuracy | Segments | Branch |
|---|---|---|
| -0.0% | 1 | (*.f32 alpha 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 | alpha |
| -0.0% | 1 | cosTheta |
Compiled 29 to 20 computations (31% saved)
| 1× | iter limit |
| 1× | unsound |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha 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) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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))) (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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (log.f32 (pow.f32 (*.f32 alpha 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) (log.f32 (*.f32 alpha alpha))) (fma.f32 (+.f32 #s(literal 1 binary32) alpha) (*.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))) (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 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) #s(approx (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (log (pow (* alpha alpha) (PI))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 (*.f32 #s(literal 2 binary32) (PI.f32)) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ (* (+ 1 alpha) (* (* (- alpha 1) cosTheta) cosTheta)) 1)) (*.f32 (log.f32 (*.f32 alpha alpha)) (PI.f32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta))) (*.f32 #s(approx (log (* alpha alpha)) (log.f32 (*.f32 alpha alpha))) (PI.f32)))) |
#s(approx (/ (/ (- (pow alpha 6) 1) (* (- (+ (* alpha alpha) 1) alpha) (+ (* alpha alpha) (+ 1 alpha)))) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) #s(approx (/ (/ (- (pow alpha 6) 1) (PI)) (* (* (log (* alpha alpha)) (- (+ (* alpha alpha) 1) alpha)) (+ (+ (* alpha alpha) alpha) 1))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (PI.f32))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(approx (* (* (PI) (+ (* (* cosTheta (+ (* alpha alpha) -1)) cosTheta) 1)) (/ 0 0)) (*.f32 (NAN.f32) (PI.f32)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 197 | 1450 |
| 1 | 572 | 1398 |
| 2 | 2417 | 1236 |
| 0 | 8614 | 1182 |
| 0 | 70 | 491 |
| 0 | 112 | 450 |
| 1 | 478 | 392 |
| 2 | 4351 | 386 |
| 0 | 8934 | 386 |
| 0 | 651 | 5784 |
| 1 | 2065 | 5325 |
| 0 | 8566 | 5188 |
| 0 | 13 | 65 |
| 0 | 23 | 65 |
| 1 | 101 | 65 |
| 2 | 818 | 63 |
| 0 | 8860 | 55 |
| 0 | 635 | 5402 |
| 1 | 2135 | 4926 |
| 0 | 8817 | 4776 |
| 0 | 582 | 4646 |
| 1 | 1903 | 4354 |
| 0 | 8475 | 4147 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 329 to 100 computations (69.6% saved)
(abs cosTheta)
(abs alpha)
Compiled 802 to 278 computations (65.3% saved)
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