
Time bar (total: 8.2s)
| 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)
| 1.1s | 8 256× | 0 | valid |
ival-mult: 295.0ms (33.1% of total)ival-<=: 135.0ms (15.2% of total)const: 125.0ms (14% of total)ival-log: 90.0ms (10.1% of total)ival-div: 84.0ms (9.4% of total)ival-add: 49.0ms (5.5% of total)ival-sub: 40.0ms (4.5% of total)ival-pi: 34.0ms (3.8% of total)ival-and: 24.0ms (2.7% of total)exact: 11.0ms (1.2% of total)ival-assert: 3.0ms (0.3% of total)| 1× | egg-herbie |
| 12 798× | lower-fma.f64 |
| 12 798× | lower-fma.f32 |
| 4 578× | lower-*.f64 |
| 4 568× | lower-*.f32 |
| 2 370× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 130 |
| 1 | 148 | 122 |
| 2 | 629 | 120 |
| 3 | 3565 | 120 |
| 4 | 7829 | 120 |
| 0 | 13 | 24 |
| 0 | 23 | 24 |
| 1 | 51 | 24 |
| 2 | 159 | 24 |
| 3 | 643 | 24 |
| 4 | 2693 | 24 |
| 5 | 4403 | 24 |
| 6 | 7704 | 24 |
| 0 | 8552 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (log.f32 (*.f32 alpha alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(abs alpha)
(abs cosTheta)
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 0 | 0 | - | 0 | - | (PI.f32) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary32) |
| 0 | 0 | - | 0 | - | cosTheta |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 0 | 0 | - | 0 | - | (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))) |
| 0 | 1 | (1.2002969309729802e-24 0.9959656596183777) | 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 | 1 | (1.2002969309729802e-24 0.9959656596183777) | 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)) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
log.f32 | (log.f32 (*.f32 alpha alpha)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 1 | 255 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 255 |
| number | freq |
|---|---|
| 0 | 255 |
| 1 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 1 | 0 | 0 |
| 49.0ms | 512× | 0 | valid |
Compiled 238 to 56 computations (76.5% saved)
ival-mult: 17.0ms (51.2% of total)ival-log: 6.0ms (18.1% of total)ival-div: 4.0ms (12% of total)ival-pi: 2.0ms (6% of total)ival-add: 2.0ms (6% of total)ival-sub: 2.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.6% | (/.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 26 to 13 computations (50% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
| ✓ | accuracy | 99.4% | (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
| ✓ | accuracy | 99.2% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 26.0ms | 256× | 0 | valid |
Compiled 93 to 15 computations (83.9% saved)
ival-mult: 7.0ms (42.1% of total)ival-div: 3.0ms (18% of total)ival-log: 3.0ms (18% of total)ival-pi: 1.0ms (6% of total)ival-add: 1.0ms (6% of total)ival-sub: 1.0ms (6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)> |
#<alt (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)> |
| Outputs |
|---|
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))> |
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))> |
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))> |
#<alt (* -1 cosTheta)> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
#<alt (* (pow cosTheta 2) (- (pow alpha 2) 1))> |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | alpha | @ | 0 | (* (PI) (log (* alpha alpha))) |
| 11.0ms | alpha | @ | inf | (* (PI) (log (* alpha alpha))) |
| 2.0ms | alpha | @ | inf | (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) |
| 2.0ms | alpha | @ | 0 | (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) |
| 1.0ms | cosTheta | @ | 0 | (/ (- (* alpha alpha) 1) (* (* (PI) (log (* alpha alpha))) (+ 1 (* (* (- (* alpha alpha) 1) cosTheta) cosTheta)))) |
| 1× | batch-egg-rewrite |
| 6 278× | lower-*.f64 |
| 6 268× | lower-*.f32 |
| 5 746× | lower-fma.f64 |
| 5 746× | lower-fma.f32 |
| 3 952× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 46 |
| 0 | 23 | 46 |
| 1 | 98 | 46 |
| 2 | 768 | 44 |
| 0 | 8448 | 39 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.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)) cosTheta) |
(*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta) |
| Outputs |
|---|
(+.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) |
(+.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.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 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 #s(literal 1 binary32) (*.f32 (log.f32 alpha) (PI.f32)))) |
(+.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32))) |
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
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(*.f32 (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(*.f32 (/.f32 cosTheta (fma.f32 alpha alpha #s(literal 1 binary32))) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (+.f32 alpha #s(literal 1 binary32))) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (*.f32 #s(literal 1 binary32) (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 cosTheta (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal 1 binary32))) |
(+.f32 (*.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 cosTheta (*.f32 cosTheta #s(literal -1 binary32)))) |
(+.f32 (*.f32 cosTheta (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 cosTheta (neg.f32 cosTheta))) |
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha)) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) |
(+.f32 (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32)) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))) |
(+.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) cosTheta) (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) cosTheta)) |
(+.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta) (*.f32 (neg.f32 cosTheta) cosTheta)) |
(+.f32 (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) |
(+.f32 (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta))) |
(fma.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta) (*.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta))) |
(fma.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 cosTheta #s(literal -1 binary32)))) |
(fma.f32 cosTheta (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 cosTheta (neg.f32 cosTheta))) |
(fma.f32 #s(literal -1 binary32) (*.f32 cosTheta cosTheta) (*.f32 (*.f32 alpha alpha) (*.f32 cosTheta cosTheta))) |
(fma.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha) (*.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32))) |
(fma.f32 (*.f32 cosTheta cosTheta) #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 alpha alpha))) |
(fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) cosTheta (*.f32 (*.f32 cosTheta #s(literal -1 binary32)) cosTheta)) |
(fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) cosTheta (*.f32 (neg.f32 cosTheta) cosTheta)) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) cosTheta))) |
(/.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(/.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(/.f32 (*.f32 (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) cosTheta) (fma.f32 alpha alpha #s(literal 1 binary32))) |
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) cosTheta)) (fma.f32 alpha (neg.f32 alpha) #s(literal -1 binary32))) |
(*.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) cosTheta) |
(*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) #s(literal 1 binary32)) |
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (fma.f32 alpha cosTheta cosTheta) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) cosTheta) (/.f32 #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 (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta) cosTheta)) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 cosTheta (fma.f32 alpha cosTheta cosTheta)) (+.f32 alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(*.f32 (*.f32 (*.f32 cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32))) (+.f32 alpha #s(literal 1 binary32))) |
| 1× | egg-herbie |
| 8 090× | lower-fma.f64 |
| 8 090× | lower-fma.f32 |
| 5 838× | lower-*.f64 |
| 5 838× | lower-*.f32 |
| 4 618× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 185 | 1959 |
| 1 | 552 | 1906 |
| 2 | 2134 | 1849 |
| 0 | 8489 | 1768 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* -1 (pow cosTheta 2)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
| Outputs |
|---|
(* 2 (* (PI) (log alpha))) |
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)) |
(* 2 (* (PI) (log alpha))) |
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 (neg.f32 (log.f32 alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (neg.f32 (*.f32 cosTheta cosTheta)))) |
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(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
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(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
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(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
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(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 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 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
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(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (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 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) (+.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (/.f32 #s(literal -1 binary32) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))))))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (log.f32 (*.f32 alpha alpha)) (*.f32 (PI.f32) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (*.f32 cosTheta cosTheta)) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* (pow alpha 2) cosTheta) |
(*.f32 cosTheta (*.f32 alpha alpha)) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) cosTheta) |
(*.f32 cosTheta (*.f32 alpha alpha)) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* -1 (pow cosTheta 2)) |
(neg.f32 (*.f32 cosTheta cosTheta)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(*.f32 cosTheta (*.f32 cosTheta (*.f32 alpha alpha))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(*.f32 (*.f32 alpha alpha) (*.f32 cosTheta (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha))))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(*.f32 cosTheta (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) |
Compiled 20 819 to 1 766 computations (91.5% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 527 | 13 | 540 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 528 | 13 | 541 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.2% | (fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
| 97.8% | (fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) | |
| ▶ | -0.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
| 96.1% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) | |
| 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.3% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) | |
| ▶ | 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 (fma.f32 alpha cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))) |
| ▶ | 97.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 63.8% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
Compiled 788 to 396 computations (49.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 alpha) |
| ✓ | accuracy | 100.0% | (cbrt.f32 (PI.f32)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (neg.f32 cosTheta) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| 114.0ms | 256× | 0 | invalid |
Compiled 524 to 54 computations (89.7% saved)
ival-mult: 47.0ms (52.2% of total)ival-add: 11.0ms (12.2% of total)ival-div: 9.0ms (10% of total)ival-log: 6.0ms (6.7% of total)ival-pow: 5.0ms (5.6% of total)const: 4.0ms (4.4% of total)ival-cbrt: 2.0ms (2.2% of total)ival-neg: 2.0ms (2.2% of total)ival-pi: 1.0ms (1.1% of total)ival-fabs: 1.0ms (1.1% of total)ival-sub: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (PI.f32)> |
#<alt (log.f32 (*.f32 alpha alpha))> |
#<alt (*.f32 alpha alpha)> |
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
#<alt (*.f32 cosTheta cosTheta)> |
#<alt (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))> |
#<alt (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))> |
#<alt (neg.f32 cosTheta)> |
#<alt (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))))> |
#<alt (cbrt.f32 (PI.f32))> |
#<alt (log.f32 alpha)> |
| Outputs |
|---|
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2)))))> |
#<alt (* -1/2 (/ cosTheta (* (PI) (log alpha))))> |
#<alt (- (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha))) (* 1/2 (/ cosTheta (* (PI) (log alpha)))))> |
#<alt (- (* (pow alpha 2) (- (* -1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* -1 (/ cosTheta (* (PI) (log alpha)))))) (* 1/2 (/ cosTheta (* (PI) (log alpha)))))> |
#<alt (- (* (pow alpha 2) (- (* -1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* -1 (/ cosTheta (* (PI) (log alpha)))))) (* 1/2 (/ cosTheta (* (PI) (log alpha)))))> |
#<alt (* 1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ 1 alpha)))))> |
#<alt (* (pow alpha 4) (- (* -1 (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha)))))))> |
#<alt (* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (* 1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ -1 alpha)))))> |
#<alt (* (pow alpha 4) (- (* -1 (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha)))))))> |
#<alt (* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | alpha | @ | inf | (log alpha) |
| 27.0ms | cosTheta | @ | inf | (neg (/ (* cosTheta (* (+ (* alpha alpha) -1) (+ (* alpha alpha) -1))) (* (PI) (log (* alpha alpha))))) |
| 23.0ms | cosTheta | @ | 0 | (neg (/ (* cosTheta (* (+ (* alpha alpha) -1) (+ (* alpha alpha) -1))) (* (PI) (log (* alpha alpha))))) |
| 12.0ms | alpha | @ | -inf | (log alpha) |
| 6.0ms | alpha | @ | 0 | (log alpha) |
| 1× | batch-egg-rewrite |
| 16× | lower-*.f64 |
| 14× | lift-*.f32 |
| 4× | lift-/.f32 |
| 4× | lift-fma.f32 |
| 4× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 70 |
| 0 | 40 | 70 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 cosTheta cosTheta) |
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(neg.f32 cosTheta) |
(neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(cbrt.f32 (PI.f32)) |
(log.f32 alpha) |
| Outputs |
|---|
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(*.f32 cosTheta cosTheta) |
(*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))) |
(neg.f32 cosTheta) |
(neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(cbrt.f32 (PI.f32)) |
(log.f32 alpha) |
| 1× | egg-herbie |
| 18 252× | lower-fma.f64 |
| 18 252× | lower-fma.f32 |
| 6 096× | lower-*.f64 |
| 6 096× | lower-*.f32 |
| 2 182× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 820 |
| 1 | 226 | 797 |
| 2 | 762 | 745 |
| 3 | 3286 | 710 |
| 0 | 8291 | 693 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(- (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha))) (* 1/2 (/ cosTheta (* (PI) (log alpha))))) |
(- (* (pow alpha 2) (- (* -1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* -1 (/ cosTheta (* (PI) (log alpha)))))) (* 1/2 (/ cosTheta (* (PI) (log alpha))))) |
(- (* (pow alpha 2) (- (* -1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* -1 (/ cosTheta (* (PI) (log alpha)))))) (* 1/2 (/ cosTheta (* (PI) (log alpha))))) |
(* 1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 4) (- (* -1 (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(* 1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 4) (- (* -1 (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(log alpha) |
(log alpha) |
(log alpha) |
(log alpha) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
| Outputs |
|---|
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal -2 binary32) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (log.f32 alpha) (PI.f32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 #s(literal -2 binary32) (PI.f32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 #s(literal -2 binary32) (PI.f32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 #s(literal -2 binary32) (PI.f32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 #s(literal -2 binary32) (PI.f32))) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1 (/ (* cosTheta (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) |
(neg.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(/.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) |
(- (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha))) (* 1/2 (/ cosTheta (* (PI) (log alpha))))) |
(/.f32 (*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1/2 binary32))) (*.f32 (log.f32 alpha) (PI.f32))) |
(- (* (pow alpha 2) (- (* -1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* -1 (/ cosTheta (* (PI) (log alpha)))))) (* 1/2 (/ cosTheta (* (PI) (log alpha))))) |
(*.f32 (/.f32 cosTheta (*.f32 (log.f32 alpha) (PI.f32))) (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (fma.f32 alpha alpha #s(literal -1/2 binary32)))) |
(- (* (pow alpha 2) (- (* -1/2 (/ (* (pow alpha 2) cosTheta) (* (PI) (log alpha)))) (* -1 (/ cosTheta (* (PI) (log alpha)))))) (* 1/2 (/ cosTheta (* (PI) (log alpha))))) |
(*.f32 (/.f32 cosTheta (*.f32 (log.f32 alpha) (PI.f32))) (fma.f32 (*.f32 alpha alpha) (*.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32)) (fma.f32 alpha alpha #s(literal -1/2 binary32)))) |
(* 1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ 1 alpha))))) |
(*.f32 (*.f32 alpha alpha) (/.f32 (*.f32 cosTheta (*.f32 (*.f32 alpha alpha) #s(literal -1/2 binary32))) (*.f32 (log.f32 alpha) (PI.f32)))) |
(* (pow alpha 4) (- (* -1 (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (/.f32 cosTheta (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 alpha alpha)) #s(literal -1/2 binary32)))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (neg.f32 (/.f32 cosTheta (*.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal 1/2 binary32))))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (neg.f32 (/.f32 cosTheta (*.f32 (log.f32 alpha) (PI.f32)))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal 1/2 binary32))))) |
(* 1/2 (/ (* (pow alpha 4) cosTheta) (* (PI) (log (/ -1 alpha))))) |
(/.f32 (*.f32 cosTheta (*.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) |
(* (pow alpha 4) (- (* -1 (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))))) |
(*.f32 (/.f32 (*.f32 cosTheta (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (/.f32 cosTheta (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal 1/2 binary32))))) |
(* (pow alpha 4) (- (* 1/2 (/ cosTheta (* (pow alpha 4) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ cosTheta (* (PI) (log (/ -1 alpha))))) (/ cosTheta (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))))) |
(*.f32 (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)) (*.f32 (/.f32 cosTheta (*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (PI.f32))) (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha))) #s(literal 1/2 binary32))))) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) |
Compiled 8 146 to 155 computations (98.1% saved)
15 alts after pruning (11 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 293 | 3 | 296 |
| Fresh | 0 | 8 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 294 | 15 | 309 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.0% | (fma.f32 cosTheta (/.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
| 97.3% | (fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) | |
| 97.8% | (fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) | |
| ✓ | -0.0% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
| ▶ | 96.1% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
| 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | 98.4% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.3% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) | |
| ▶ | 97.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ▶ | 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 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| ✓ | 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 (fma.f32 alpha cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))) |
| ✓ | 97.7% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 63.8% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
Compiled 773 to 404 computations (47.7% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
| ✓ | accuracy | 99.2% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| ✓ | accuracy | 98.9% | (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) |
| ✓ | accuracy | 98.8% | (*.f32 (log.f32 alpha) (PI.f32)) |
| ✓ | accuracy | 99.2% | (/.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) |
| ✓ | accuracy | 99.2% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
| ✓ | accuracy | 98.8% | (*.f32 (log.f32 alpha) (PI.f32)) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 99.9% | (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))) |
| ✓ | accuracy | 99.8% | (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
| ✓ | accuracy | 99.1% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) |
| ✓ | accuracy | 100.0% | (PI.f32) |
| ✓ | accuracy | 99.7% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.2% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| ✓ | accuracy | 99.7% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 99.5% | (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
| ✓ | accuracy | 99.2% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| ✓ | accuracy | 98.8% | (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
| 121.0ms | 256× | 0 | valid |
Compiled 393 to 42 computations (89.3% saved)
ival-div: 48.0ms (54% of total)ival-mult: 24.0ms (27% of total)ival-add: 6.0ms (6.8% of total)ival-log: 5.0ms (5.6% of total)ival-sqrt: 2.0ms (2.3% of total)ival-pi: 1.0ms (1.1% of total)ival-sub: 1.0ms (1.1% of total)exact: 1.0ms (1.1% of total)ival-neg: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))> |
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)))))> |
#<alt (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))> |
#<alt (log.f32 (*.f32 alpha alpha))> |
#<alt (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))> |
#<alt (PI.f32)> |
#<alt (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))> |
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))))> |
#<alt (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32))> |
#<alt (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))> |
#<alt (*.f32 (log.f32 alpha) (PI.f32))> |
#<alt (/.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32)))> |
#<alt (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32)))> |
#<alt (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta))))> |
#<alt (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta)> |
| Outputs |
|---|
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* 2 (* (PI) (log alpha)))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ 1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (* -2 (* (PI) (log (/ -1 alpha))))> |
#<alt (/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))> |
#<alt (- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))> |
#<alt (- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))))> |
#<alt (- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2))))))> |
#<alt (/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2))))> |
#<alt (- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2)))))> |
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))> |
#<alt (/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2)))))> |
#<alt (/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2))> |
#<alt (/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2))> |
#<alt (* -1 (pow cosTheta 2))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2)))> |
#<alt (* (pow alpha 2) (pow cosTheta 2))> |
#<alt (* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2)))> |
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#<alt (- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))))> |
#<alt (/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))> |
#<alt (- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))> |
#<alt (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))> |
#<alt (- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))> |
#<alt (/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))> |
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#<alt (- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))> |
#<alt (- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))> |
#<alt (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))> |
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#<alt (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha)))))))> |
#<alt (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha)))))))))> |
#<alt (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))> |
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#<alt (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))> |
#<alt (/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha))))> |
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#<alt (/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2))> |
#<alt (* -1 cosTheta)> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (+ (* -1 cosTheta) (* (pow alpha 2) cosTheta))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) cosTheta)> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2)))))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
#<alt (* cosTheta (- (pow alpha 2) 1))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | cosTheta | @ | inf | (/ (* cosTheta -1/2) (* (log alpha) (PI))) |
| 23.0ms | cosTheta | @ | 0 | (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta)))) |
| 18.0ms | alpha | @ | 0 | (/ (- (* alpha alpha) 1) (* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta)))) |
| 10.0ms | cosTheta | @ | 0 | (/ (* cosTheta -1/2) (* (log alpha) (PI))) |
| 4.0ms | cosTheta | @ | 0 | (* (* (PI) (* 2 (log alpha))) (+ 1 (* (neg cosTheta) cosTheta))) |
| 1× | batch-egg-rewrite |
| 4 740× | lower-/.f64 |
| 4 732× | lower-/.f32 |
| 4 424× | lower-fma.f64 |
| 4 420× | lower-fma.f32 |
| 4 132× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 150 |
| 0 | 69 | 138 |
| 1 | 277 | 115 |
| 2 | 2162 | 115 |
| 0 | 8388 | 113 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta)) |
(log.f32 (*.f32 alpha alpha)) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(PI.f32) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) |
(*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta))) |
(*.f32 (log.f32 alpha) (PI.f32)) |
(/.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) |
(*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) |
| Outputs |
|---|
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32))) |
(exp.f32 (*.f32 (log.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal -1 binary32))) |
(+.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) |
(+.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32))) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal -1 binary32)) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 3 binary32)) |
(pow.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal -3 binary32)) |
(fma.f32 (PI.f32) (log.f32 alpha) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 (log.f32 alpha) (PI.f32) (*.f32 (PI.f32) (log.f32 alpha))) |
(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 (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (log.f32 alpha)) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 (*.f32 (log.f32 alpha) #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) (log.f32 alpha))) |
(fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(-.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32))) |
(-.f32 (/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 1 binary32))) |
(-.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))) |
(/.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)) |
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (/.f32 #s(literal 1 binary32) (PI.f32)))) |
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))))) |
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) #s(literal 1 binary32)))) |
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))) |
(/.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal 3 binary32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(/.f32 (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) #s(literal -1 binary32)) |
(/.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) |
(/.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) |
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) |
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) |
(/.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) #s(literal 1 binary32)) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) |
(/.f32 (pow.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) |
(/.f32 (pow.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) #s(literal 3 binary32))) |
(/.f32 (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) #s(literal 3 binary32))) |
(/.f32 (-.f32 (*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) #s(literal 0 binary32)) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) |
(/.f32 (neg.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))))) |
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) (neg.f32 (PI.f32))) |
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))) (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))))) |
(/.f32 (neg.f32 (*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) #s(literal 1 binary32))) (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32)) #s(literal 3 binary32))) (fma.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 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #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 (pow.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (fma.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (*.f32 (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)) (/.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) #s(literal 0 binary32)))))) |
(*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) |
(*.f32 (PI.f32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32))) |
(*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (PI.f32)) |
(*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) #s(literal 1 binary32)) |
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 (log.f32 alpha) (*.f32 (PI.f32) #s(literal 2 binary32))) |
(*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) |
(*.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)) |
(*.f32 (sqrt.f32 (PI.f32)) (fma.f32 (log.f32 alpha) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))))) |
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) |
(*.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (+.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))) |
(*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha)))) |
(*.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) #s(literal 0 binary32))) |
(*.f32 #s(literal 0 binary32) (pow.f32 (/.f32 #s(literal 1 binary32) #s(literal 0 binary32)) #s(literal 3 binary32))) |
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) |
(*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 3 binary32))) |
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32)) #s(literal 3 binary32))) |
(*.f32 (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)) #s(literal 8 binary32)) |
(*.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))))) |
(*.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (log.f32 alpha))) #s(literal 1/2 binary32)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (log.f32 alpha)) |
(*.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) (*.f32 (log.f32 alpha) #s(literal 1 binary32))) |
(*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal 3 binary32))) |
(*.f32 (pow.f32 (log.f32 alpha) #s(literal 3 binary32)) (pow.f32 (+.f32 (PI.f32) (PI.f32)) #s(literal 3 binary32))) |
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 (fma.f32 (log.f32 alpha) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32)))) #s(literal 3 binary32))) |
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) #s(literal 3 binary32))) |
(*.f32 (pow.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (+.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) |
(*.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))))) |
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (log.f32 alpha)))) |
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) #s(literal 1 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (pow.f32 (*.f32 (PI.f32) #s(literal 2 binary32)) #s(literal -1 binary32))) |
(*.f32 (/.f32 #s(literal 1 binary32) (log.f32 alpha)) (pow.f32 (+.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32))) |
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(/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (-.f32 (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha))) (*.f32 (neg.f32 cosTheta) (*.f32 cosTheta (*.f32 alpha alpha)))))) |
(/.f32 (fma.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta) (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (-.f32 (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta)) (*.f32 (neg.f32 cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 cosTheta (*.f32 alpha alpha)) #s(literal 3 binary32)) (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (fma.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (*.f32 cosTheta (*.f32 alpha alpha)) (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 cosTheta (*.f32 alpha alpha)) (neg.f32 cosTheta))))) |
(/.f32 (+.f32 (pow.f32 (*.f32 (*.f32 alpha alpha) cosTheta) #s(literal 3 binary32)) (neg.f32 (*.f32 cosTheta (*.f32 cosTheta cosTheta)))) (fma.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (*.f32 (*.f32 alpha alpha) cosTheta) (-.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (*.f32 alpha alpha) cosTheta) (neg.f32 cosTheta))))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) cosTheta) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(*.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (+.f32 alpha #s(literal -1 binary32)) cosTheta)) |
(*.f32 (*.f32 cosTheta (+.f32 alpha #s(literal 1 binary32))) (+.f32 alpha #s(literal -1 binary32))) |
(*.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(*.f32 (*.f32 cosTheta (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal -1 binary32)))))) |
(*.f32 (*.f32 cosTheta (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (fma.f32 alpha alpha #s(literal 1 binary32))))) |
(*.f32 (*.f32 (fma.f32 (*.f32 alpha (*.f32 alpha alpha)) (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 alpha alpha) #s(literal -1 binary32)))))) |
(*.f32 (*.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal 1 binary32)))) |
| 1× | egg-herbie |
| 6 300× | lower-*.f64 |
| 6 300× | lower-*.f32 |
| 6 050× | lower-fma.f64 |
| 6 050× | lower-fma.f32 |
| 3 428× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 5367 |
| 1 | 1312 | 5136 |
| 2 | 5405 | 5091 |
| 0 | 8301 | 4844 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))))) |
(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ -1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ -1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
(/ (- (pow alpha 2) 1) (* (PI) (log (pow alpha 2)))) |
(- (+ (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log (pow alpha 2))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log (pow alpha 2)))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(- (+ (* (pow cosTheta 2) (- (* (pow cosTheta 2) (- (* -1 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log (pow alpha 2))))) (* -1 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log (pow alpha 2))))))) (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log (pow alpha 2)))))) (/ (pow alpha 2) (* (PI) (log (pow alpha 2))))) (/ 1 (* (PI) (log (pow alpha 2))))) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 4) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 2)))))) (+ (/ 1 (* (pow cosTheta 2) (* (PI) (* (log (pow alpha 2)) (- (pow alpha 2) 1))))) (/ 1 (* (pow cosTheta 6) (* (PI) (* (log (pow alpha 2)) (pow (- (pow alpha 2) 1) 3))))))) (pow cosTheta 2)) |
(* -1 (pow cosTheta 2)) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(+ (* -1 (pow cosTheta 2)) (* (pow alpha 2) (pow cosTheta 2))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (pow cosTheta 2)) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow alpha 2) (+ (* -1 (/ (pow cosTheta 2) (pow alpha 2))) (pow cosTheta 2))) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(/ -1/2 (* (PI) (log alpha))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (PI) (log alpha))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ 1 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ 1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ 1 alpha))))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (log (/ -1 alpha))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (log (/ -1 alpha)))))) (* 1/2 (/ 1 (* (PI) (log (/ -1 alpha))))))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* 2 (* (PI) (log alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(* 2 (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* 1/2 (/ (pow alpha 2) (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(* -1/2 (/ (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2))))))))) |
(* 1/2 (/ (pow alpha 2) (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))) |
(* (pow alpha 2) (- (* 1/2 (/ 1 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))))))) |
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) |
(+ (* 1/2 (/ (* (pow cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 1/2 (/ (* (pow cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* 1/2 (/ (* (pow cosTheta 2) (- (pow alpha 2) 1)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))))))) |
(* -1/2 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (log alpha))))) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2)))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 6)))))) (pow cosTheta 2)) |
(* -1/2 (/ (- (pow alpha 2) 1) (* (pow cosTheta 2) (* (PI) (log alpha))))) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2)))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))))) (pow cosTheta 2)) |
(/ (+ (* -1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 2))) (+ (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 4))) (* 1/2 (/ (- (/ 1 (* (PI) (log alpha))) (/ (pow alpha 2) (* (PI) (log alpha)))) (pow cosTheta 6)))))) (pow cosTheta 2)) |
-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* 2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* -2 (* (PI) (* (log (/ 1 alpha)) (+ 1 (* -1 (pow cosTheta 2)))))) |
(* 2 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* 2 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* 2 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* 2 (* (PI) (* (+ 1 (* -1 (pow cosTheta 2))) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* 2 (* (PI) (log alpha))) |
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) |
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) |
(+ (* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) (* 2 (* (PI) (log alpha)))) |
(* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* -2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (pow cosTheta 2) (+ (* -2 (* (PI) (log alpha))) (* 2 (/ (* (PI) (log alpha)) (pow cosTheta 2))))) |
(* (PI) (log alpha)) |
(* (PI) (log alpha)) |
(* (PI) (log alpha)) |
(* (PI) (log alpha)) |
(* -1 (* (PI) (log (/ 1 alpha)))) |
(* -1 (* (PI) (log (/ 1 alpha)))) |
(* -1 (* (PI) (log (/ 1 alpha)))) |
(* -1 (* (PI) (log (/ 1 alpha)))) |
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* -1/2 (/ cosTheta (* (PI) (log alpha)))) |
(* 1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) |
(* 1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) |
(* 1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) |
(* 1/2 (/ cosTheta (* (PI) (log (/ 1 alpha))))) |
(* -1/2 (/ cosTheta (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* -1/2 (/ cosTheta (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* -1/2 (/ cosTheta (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* -1/2 (/ cosTheta (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(* (sqrt (PI)) (log alpha)) |
(* (sqrt (PI)) (log alpha)) |
(* (sqrt (PI)) (log alpha)) |
(* (sqrt (PI)) (log alpha)) |
(* -1 (* (sqrt (PI)) (log (/ 1 alpha)))) |
(* -1 (* (sqrt (PI)) (log (/ 1 alpha)))) |
(* -1 (* (sqrt (PI)) (log (/ 1 alpha)))) |
(* -1 (* (sqrt (PI)) (log (/ 1 alpha)))) |
(* (sqrt (PI)) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* (sqrt (PI)) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* (sqrt (PI)) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* (sqrt (PI)) (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(- (* 1/2 (* (pow alpha 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* -1/2 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(- (* (pow alpha 2) (+ (* 1/2 (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* (pow alpha 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) (* -1 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(- (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) |
(- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) |
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha))))))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha))))))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
(* -1 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) cosTheta) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
(* cosTheta (- (pow alpha 2) 1)) |
| Outputs |
|---|
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* 2 (* (PI) (log alpha))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ 1 alpha)))) |
(*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(* -2 (* (PI) (log (/ -1 alpha)))) |
(*.f32 (log.f32 (/.f32 #s(literal -1 binary32) alpha)) (*.f32 (PI.f32) #s(literal -2 binary32))) |
(/ -1/2 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(- (* (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 alpha alpha) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) |
(- (* (pow alpha 2) (- (+ (* -1 (/ (* (pow alpha 2) (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (+ 1 (* -1 (pow cosTheta 2))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) |
(- (* (pow alpha 2) (- (+ (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* (pow alpha 2) (- (/ (* (pow alpha 2) (* (pow cosTheta 4) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)))))))) (pow (+ 1 (* -1 (pow cosTheta 2))) 2)) (/ (* (pow cosTheta 2) (- (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (+ 1 (* -1 (pow cosTheta 2))))))) (* -1/2 (/ (pow cosTheta 2) (* (PI) (* (log alpha) (pow (+ 1 (* -1 (pow cosTheta 2))) 2))))))) (* 1/2 (/ 1 (* (PI) (* (log alpha) (+ 1 (* -1 (pow cosTheta 2)))))))) |
(fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (fma.f32 (*.f32 alpha alpha) (/.f32 (*.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (PI.f32) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))))) |
(/ -1/2 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(- (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
(fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(- (+ (* -1 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))))) |
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(- (+ (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (+ (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (+ (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha)))))) (* -1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))))) |
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(/ 1 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
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(/ (- (/ 1 (* (PI) (log (pow alpha 2)))) (/ 1 (* (pow cosTheta 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 (* (pow cosTheta 2) (* (PI) (log (pow alpha 2))))) |
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(* -1 (pow cosTheta 2)) |
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(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
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(* (pow cosTheta 2) (- (pow alpha 2) 1)) |
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(* 2 (log alpha)) |
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(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
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(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
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(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
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(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
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(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ -1 alpha))) |
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(fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (fma.f32 #s(literal 1/2 binary32) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 alpha alpha)) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(- (+ (* -1/2 (/ (* (+ 1 (* -1 (pow cosTheta 2))) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 4) (pow cosTheta 2)))) (+ (* 1/2 (/ (* (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha)))))))) (* (pow alpha 6) (pow cosTheta 4)))) (* 1/2 (/ (- (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))) (* -1 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow cosTheta 4) (* (PI) (log (/ 1 alpha))))))) (pow alpha 2))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (log (/ 1 alpha))))))) |
(fma.f32 #s(literal 1/2 binary32) (fma.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (pow.f32 alpha #s(literal 6 binary32)))) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 alpha alpha))) (fma.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (/.f32 (+.f32 (/.f32 #s(literal -1 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (fma.f32 cosTheta cosTheta #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))))) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(- (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))) (* 1/2 (/ 1 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) |
(+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))) |
(- (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha))))) |
(- (+ (* -1/2 (/ (pow (+ 1 (* -1 (pow cosTheta 2))) 2) (* (pow alpha 6) (* (pow cosTheta 8) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (+ (* 1/2 (/ (+ 1 (* -1 (pow cosTheta 2))) (* (pow alpha 4) (* (pow cosTheta 6) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha)))))))))) (/ 1/2 (* (pow alpha 2) (* (pow cosTheta 4) (* (PI) (+ (log -1) (* -1 (log (/ -1 alpha))))))))) |
(+.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) (/.f32 (*.f32 #s(literal -1/2 binary32) (fma.f32 cosTheta cosTheta #s(literal -1 binary32))) (*.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (*.f32 (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (*.f32 (*.f32 alpha alpha) (*.f32 alpha alpha)))))) (+.f32 (/.f32 (*.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta))) (*.f32 (*.f32 (PI.f32) (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha)))) (*.f32 (pow.f32 alpha #s(literal 6 binary32)) (pow.f32 cosTheta #s(literal 8 binary32))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta))) (*.f32 (-.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (/.f32 #s(literal -1 binary32) alpha))) (*.f32 alpha alpha)))))) |
(* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 2)) (* (PI) (log alpha)))) (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha))))) |
(fma.f32 (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* 1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 3)) (* (PI) (log alpha))))))) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha))) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 (*.f32 cosTheta cosTheta) #s(literal 1/2 binary32)))) (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(+ (* 1/2 (/ (- (pow alpha 2) 1) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (pow (- (pow alpha 2) 1) 2) (* (PI) (log alpha)))) (* (pow cosTheta 2) (+ (* -1/2 (/ (* (pow cosTheta 2) (pow (- (pow alpha 2) 1) 4)) (* (PI) (log alpha)))) (* 1/2 (/ (pow (- (pow alpha 2) 1) 3) (* (PI) (log alpha))))))))) |
(fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 (*.f32 cosTheta cosTheta) (fma.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 (PI.f32) (log.f32 alpha)))) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 cosTheta cosTheta)) (/.f32 (pow.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) #s(literal 4 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) (/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 alpha)))) (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha)))) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (pow.f32 cosTheta #s(literal 6 binary32)))))) (*.f32 cosTheta cosTheta)) |
(/ 1/2 (* (pow cosTheta 2) (* (PI) (log alpha)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 cosTheta cosTheta)))) |
(/ (- (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (/ 1/2 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))) (* 1/2 (/ 1 (* (PI) (log alpha))))) (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1)))))) (pow cosTheta 2)) |
(/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))) (*.f32 cosTheta cosTheta)) |
(/ (- (+ (* 1/2 (/ 1 (* (PI) (log alpha)))) (* 1/2 (/ 1 (* (pow cosTheta 4) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 2))))))) (+ (/ 1/2 (* (pow cosTheta 2) (* (PI) (* (log alpha) (- (pow alpha 2) 1))))) (* 1/2 (/ 1 (* (pow cosTheta 6) (* (PI) (* (log alpha) (pow (- (pow alpha 2) 1) 3)))))))) (pow cosTheta 2)) |
(/.f32 (+.f32 (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (*.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (log.f32 alpha) (fma.f32 alpha alpha #s(literal -1 binary32))) (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (pow.f32 cosTheta #s(literal 6 binary32)))))) (*.f32 cosTheta cosTheta)) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(+ (* -1 cosTheta) (* (pow alpha 2) cosTheta)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* (pow alpha 2) cosTheta) |
(*.f32 alpha (*.f32 alpha cosTheta)) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) cosTheta) |
(*.f32 alpha (*.f32 alpha cosTheta)) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* (pow alpha 2) (+ cosTheta (* -1 (/ cosTheta (pow alpha 2))))) |
(*.f32 (*.f32 alpha alpha) (-.f32 cosTheta (/.f32 cosTheta (*.f32 alpha alpha)))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
(* cosTheta (- (pow alpha 2) 1)) |
(*.f32 cosTheta (fma.f32 alpha alpha #s(literal -1 binary32))) |
Compiled 78 359 to 5 258 computations (93.3% saved)
34 alts after pruning (33 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 380 | 32 | 2 412 |
| Fresh | 5 | 1 | 6 |
| Picked | 4 | 1 | 5 |
| Done | 4 | 0 | 4 |
| Total | 2 393 | 34 | 2 427 |
| Status | Accuracy | Program |
|---|---|---|
| 96.1% | (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) | |
| 95.6% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) | |
| ▶ | 98.6% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| 95.7% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (*.f32 alpha alpha)))) | |
| 96.2% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) | |
| ✓ | 96.1% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
| 97.3% | (/.f32 (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 96.0% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) | |
| 96.2% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) | |
| 98.5% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) | |
| 97.6% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) | |
| 97.2% | (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 97.3% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 97.2% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 97.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) | |
| 98.5% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) | |
| 97.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) | |
| 97.4% | (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| ▶ | 97.3% | (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 98.3% | (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) | |
| 96.0% | (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| 63.8% | (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) | |
| 63.8% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) | |
| 63.0% | (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) | |
| ▶ | 63.8% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ▶ | 63.9% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| ▶ | -0.0% | (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
| 95.9% | (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) | |
| 96.0% | (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) | |
| 98.4% | (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) | |
| 95.8% | (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) | |
| 95.6% | (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) | |
| 95.7% | (*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 alpha alpha)) (log.f32 alpha)))))) | |
| 97.1% | (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
Compiled 1 335 to 909 computations (31.9% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
| ✓ | accuracy | 100.0% | (neg.f32 cosTheta) |
| ✓ | accuracy | 100.0% | (log.f32 alpha) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
| ✓ | accuracy | 100.0% | (neg.f32 cosTheta) |
| ✓ | accuracy | 100.0% | (log.f32 alpha) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| ✓ | accuracy | 100.0% | (fma.f32 alpha alpha #s(literal -1 binary32)) |
| ✓ | accuracy | 100.0% | (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
| ✓ | accuracy | 100.0% | (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
| ✓ | accuracy | 100.0% | (*.f32 cosTheta cosTheta) |
| ✓ | accuracy | 100.0% | (*.f32 alpha alpha) |
| ✓ | accuracy | 100.0% | (log.f32 (*.f32 alpha alpha)) |
| ✓ | accuracy | 6.3% | (PI.f32) |
| 62.0ms | 256× | 0 | invalid |
Compiled 346 to 33 computations (90.5% saved)
ival-mult: 16.0ms (38% of total)ival-div: 12.0ms (28.5% of total)ival-add: 5.0ms (11.9% of total)ival-log: 5.0ms (11.9% of total)ival-pi: 1.0ms (2.4% of total)exact: 1.0ms (2.4% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (PI.f32)> |
#<alt (log.f32 (*.f32 alpha alpha))> |
#<alt (*.f32 alpha alpha)> |
#<alt (*.f32 cosTheta cosTheta)> |
#<alt (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)))> |
#<alt (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))> |
#<alt (fma.f32 alpha alpha #s(literal -1 binary32))> |
#<alt (log.f32 alpha)> |
#<alt (neg.f32 cosTheta)> |
#<alt (*.f32 #s(literal 2 binary32) (log.f32 alpha))> |
| Outputs |
|---|
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (* -2 (log (/ -1 alpha)))> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow alpha 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt (pow cosTheta 2)> |
#<alt -1> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (- (pow alpha 2) 1)> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (* (pow alpha 2) (- 1 (/ 1 (pow alpha 2))))> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (log alpha)> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (* -1 (log (/ 1 alpha)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 alpha))))> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* -1 cosTheta)> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* 2 (log alpha))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* -2 (log (/ 1 alpha)))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 alpha)))))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 alpha)))))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 alpha)))))> |
#<alt (* 2 (+ (log -1) (* -1 (log (/ -1 alpha)))))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | alpha | @ | 0 | (* 2 (log alpha)) |
| 0.0ms | alpha | @ | -inf | (* 2 (log alpha)) |
| 0.0ms | alpha | @ | inf | (* 2 (log alpha)) |
| 0.0ms | alpha | @ | 0 | (log (* alpha alpha)) |
| 0.0ms | alpha | @ | 0 | (* (+ (* alpha alpha) -1) (/ 0 0)) |
| 1× | batch-egg-rewrite |
| 8× | lower-*.f64 |
| 8× | lift-*.f32 |
| 4× | lift-log.f32 |
| 4× | lower-log.f64 |
| 2× | lift-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 34 |
| 0 | 25 | 34 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 cosTheta cosTheta) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(log.f32 alpha) |
(neg.f32 cosTheta) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
| Outputs |
|---|
(PI.f32) |
(log.f32 (*.f32 alpha alpha)) |
(*.f32 alpha alpha) |
(*.f32 cosTheta cosTheta) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
(+.f32 (*.f32 alpha alpha) #s(literal -1 binary32)) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(log.f32 alpha) |
(neg.f32 cosTheta) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
| 1× | egg-herbie |
| 14 926× | lower-fma.f64 |
| 14 926× | lower-fma.f32 |
| 4 010× | lower-*.f64 |
| 4 010× | lower-*.f32 |
| 1 520× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 324 |
| 1 | 53 | 316 |
| 2 | 98 | 316 |
| 3 | 185 | 316 |
| 4 | 414 | 316 |
| 5 | 664 | 304 |
| 6 | 1152 | 304 |
| 7 | 3119 | 304 |
| 8 | 5365 | 304 |
| 0 | 8158 | 295 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(* -2 (log (/ -1 alpha))) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow alpha 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
(pow cosTheta 2) |
-1 |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(- (pow alpha 2) 1) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(pow alpha 2) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(log alpha) |
(log alpha) |
(log alpha) |
(log alpha) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(* -1 (log (/ 1 alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* -1 cosTheta) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* 2 (log alpha)) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* -2 (log (/ 1 alpha))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
| Outputs |
|---|
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 (neg.f32 alpha))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 (neg.f32 alpha))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 (neg.f32 alpha))) |
(* -2 (log (/ -1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 (neg.f32 alpha))) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
(pow cosTheta 2) |
(*.f32 cosTheta cosTheta) |
-1 |
#s(literal -1 binary32) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(- (pow alpha 2) 1) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(pow alpha 2) |
(*.f32 alpha alpha) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(* (pow alpha 2) (- 1 (/ 1 (pow alpha 2)))) |
(fma.f32 alpha alpha #s(literal -1 binary32)) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(log alpha) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(* -1 (log (/ 1 alpha))) |
(log.f32 alpha) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha))) |
(+ (log -1) (* -1 (log (/ -1 alpha)))) |
(+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha))) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* -1 cosTheta) |
(neg.f32 cosTheta) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (log alpha)) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* -2 (log (/ 1 alpha))) |
(*.f32 #s(literal 2 binary32) (log.f32 alpha)) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))) |
(* 2 (+ (log -1) (* -1 (log (/ -1 alpha))))) |
(*.f32 #s(literal 2 binary32) (+.f32 (log.f32 #s(literal -1 binary32)) (log.f32 (neg.f32 alpha)))) |
Compiled 4 958 to 69 computations (98.6% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 242 | 2 | 244 |
| Fresh | 1 | 27 | 28 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 244 | 34 | 278 |
| Status | Accuracy | Program |
|---|---|---|
| 96.1% | (/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) | |
| 95.6% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) | |
| 98.7% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) | |
| ✓ | 98.6% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| 95.7% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (*.f32 alpha alpha)))) | |
| 96.2% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) | |
| ✓ | 96.1% | (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
| 97.3% | (/.f32 (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 96.0% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) | |
| 96.2% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) | |
| 98.5% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32)))) | |
| 97.6% | (/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) | |
| 97.2% | (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 97.3% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 97.2% | (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| 97.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) | |
| 97.6% | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) | |
| 97.4% | (/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) | |
| ✓ | 97.3% | (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| 98.3% | (/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) | |
| 96.0% | (/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) | |
| 63.8% | (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) | |
| 63.8% | (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) | |
| 63.0% | (/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) | |
| ✓ | 63.8% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| ✓ | 63.9% | (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| 95.9% | (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) | |
| 96.0% | (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) | |
| 98.4% | (*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) | |
| 95.8% | (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) | |
| 95.6% | (*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) | |
| 95.7% | (*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 alpha alpha)) (log.f32 alpha)))))) | |
| 97.1% | (*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) | |
| -0.0% | (*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
Compiled 1 746 to 654 computations (62.5% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.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 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 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 (fma.f32 alpha cosTheta cosTheta) (+.f32 alpha #s(literal -1 binary32))) cosTheta)))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 alpha)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (/.f32 (fma.f32 alpha (*.f32 alpha (*.f32 alpha alpha)) #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (*.f32 (*.f32 alpha alpha) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 alpha alpha)))) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (-.f32 #s(literal 1 binary32) (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha)))))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 alpha (*.f32 alpha (*.f32 alpha alpha))) (fma.f32 alpha alpha #s(literal 1 binary32))) (fma.f32 alpha alpha #s(literal 1 binary32))) (*.f32 (fma.f32 alpha alpha #s(literal 1 binary32)) (fma.f32 alpha alpha #s(literal 1 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (log.f32 (*.f32 alpha alpha)))) |
(fma.f32 cosTheta (/.f32 (*.f32 cosTheta #s(literal -1/2 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(*.f32 (*.f32 alpha alpha) (+.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) (neg.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 alpha alpha)) (log.f32 alpha)))))) |
(fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(fma.f32 cosTheta (neg.f32 (/.f32 (*.f32 cosTheta (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (fma.f32 alpha alpha #s(literal -1 binary32)))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(fma.f32 alpha (*.f32 alpha (fma.f32 #s(literal 1/2 binary32) (/.f32 (*.f32 cosTheta cosTheta) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))))) (/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)))))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 3 binary32)))) (+.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (PI.f32) (log.f32 alpha)) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (fma.f32 (*.f32 (log.f32 alpha) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (/.f32 (+.f32 (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (*.f32 (log.f32 alpha) (PI.f32)) #s(literal 3 binary32))) (fma.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)) (-.f32 (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32))) (*.f32 (*.f32 (log.f32 alpha) (PI.f32)) (*.f32 (log.f32 alpha) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
4 calls:
| 22.0ms | (*.f32 alpha alpha) |
| 15.0ms | alpha |
| 15.0ms | cosTheta |
| 14.0ms | (/.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)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.7% | 1 | cosTheta |
| 98.7% | 1 | 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 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
4 calls:
| 13.0ms | cosTheta |
| 9.0ms | (*.f32 alpha 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 | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 1 | cosTheta |
| 98.6% | 1 | 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 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
4 calls:
| 43.0ms | (/.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)))) |
| 11.0ms | cosTheta |
| 8.0ms | alpha |
| 8.0ms | (*.f32 alpha alpha) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | cosTheta |
| 98.5% | 1 | alpha |
| 98.5% | 1 | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 98.5% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (PI.f32)) (*.f32 (log.f32 alpha) (*.f32 #s(literal 2 binary32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (*.f32 (+.f32 alpha #s(literal 1 binary32)) (+.f32 alpha #s(literal -1 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 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 (neg.f32 cosTheta) cosTheta)))) |
4 calls:
| 12.0ms | cosTheta |
| 10.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 7.0ms | (*.f32 alpha alpha) |
| 7.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.7% | 1 | cosTheta |
| 97.7% | 1 | alpha |
| 97.7% | 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)))) |
| 97.7% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha))) |
(/.f32 #s(literal 1 binary32) (/.f32 (log.f32 alpha) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))))) |
| Outputs |
|---|
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
4 calls:
| 9.0ms | 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 | (*.f32 alpha alpha) |
| 6.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 1 | cosTheta |
| 97.6% | 1 | alpha |
| 97.6% | 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)))) |
| 97.6% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (PI.f32))) |
(*.f32 (/.f32 (+.f32 alpha #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 (+.f32 alpha #s(literal -1 binary32)) (log.f32 alpha))) |
(*.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (log.f32 alpha))) |
| Outputs |
|---|
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
4 calls:
| 8.0ms | cosTheta |
| 8.0ms | (*.f32 alpha alpha) |
| 5.0ms | (/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) cosTheta) cosTheta)))) |
| 5.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | cosTheta |
| 97.1% | 1 | alpha |
| 97.1% | 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)))) |
| 97.1% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 cosTheta cosTheta #s(literal -1 binary32)))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha)))) |
(/.f32 (fma.f32 (*.f32 alpha alpha) #s(literal 1/2 binary32) #s(literal -1/2 binary32)) (*.f32 (PI.f32) (log.f32 alpha))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (log.f32 alpha) (*.f32 (PI.f32) (fma.f32 cosTheta (neg.f32 cosTheta) #s(literal 1 binary32))))) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (PI.f32)) |
(/.f32 (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) #s(literal 2 binary32))) (log.f32 alpha)) |
(/.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
4 calls:
| 8.0ms | alpha |
| 4.0ms | (/.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)))) |
| 4.0ms | (*.f32 alpha alpha) |
| 4.0ms | cosTheta |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.2% | 1 | alpha |
| 96.2% | 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)))) |
| 96.2% | 1 | (*.f32 alpha alpha) |
| 96.2% | 1 | cosTheta |
Compiled 37 to 20 computations (45.9% saved)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
| Outputs |
|---|
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
4 calls:
| 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 | cosTheta |
| 2.0ms | (*.f32 alpha alpha) |
| 2.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.0% | 1 | cosTheta |
| 63.0% | 1 | alpha |
| 63.0% | 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)))) |
| 63.0% | 1 | (*.f32 alpha alpha) |
Compiled 37 to 20 computations (45.9% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (*.f32 (/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) (fma.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta) #s(literal 1 binary32))))) |
| Outputs |
|---|
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
4 calls:
| 4.0ms | (/.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 | cosTheta |
| 2.0ms | (*.f32 alpha alpha) |
| 2.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| -0.0% | 1 | cosTheta |
| -0.0% | 1 | alpha |
| -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)))) |
Compiled 37 to 20 computations (45.9% saved)
| 1× | egg-herbie |
| 38× | *-commutative_binary32 |
| 16× | +-commutative_binary32 |
| 14× | neg-sub0_binary32 |
| 14× | sub-neg_binary32 |
| 12× | neg-mul-1_binary32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 140 |
| 1 | 71 | 139 |
| 2 | 83 | 139 |
| 3 | 94 | 138 |
| 4 | 101 | 138 |
| 5 | 105 | 138 |
| 6 | 111 | 138 |
| 7 | 115 | 138 |
| 8 | 116 | 138 |
| 1× | saturated |
| Inputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 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 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
| Outputs |
|---|
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal 2 binary32) (log.f32 alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 cosTheta cosTheta))) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32))))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (+.f32 #s(literal 1 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 (*.f32 alpha alpha))) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta cosTheta)))) |
(/.f32 (-.f32 (*.f32 alpha alpha) #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(/.f32 (+.f32 #s(literal -1 binary32) (*.f32 alpha alpha)) (*.f32 (*.f32 (PI.f32) (log.f32 alpha)) (fma.f32 #s(literal -2 binary32) (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))) |
(*.f32 #s(literal 1/2 binary32) (*.f32 (fma.f32 cosTheta cosTheta #s(literal 1 binary32)) (/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (PI.f32) (log.f32 alpha))))) |
(/.f32 (fma.f32 alpha alpha #s(literal -1 binary32)) (*.f32 (log.f32 alpha) (+.f32 (PI.f32) (PI.f32)))) |
(/.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (log.f32 alpha))) |
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 0 binary32) #s(literal 0 binary32))) |
(/.f32 #s(literal 0 binary32) #s(literal 0 binary32)) |
| 18 252× | lower-fma.f64 |
| 18 252× | lower-fma.f32 |
| 14 926× | lower-fma.f64 |
| 14 926× | lower-fma.f32 |
| 8 090× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 406 | 5367 |
| 1 | 1312 | 5136 |
| 2 | 5405 | 5091 |
| 0 | 8301 | 4844 |
| 0 | 26 | 324 |
| 1 | 53 | 316 |
| 2 | 98 | 316 |
| 3 | 185 | 316 |
| 4 | 414 | 316 |
| 5 | 664 | 304 |
| 6 | 1152 | 304 |
| 7 | 3119 | 304 |
| 8 | 5365 | 304 |
| 0 | 8158 | 295 |
| 0 | 81 | 820 |
| 1 | 226 | 797 |
| 2 | 762 | 745 |
| 3 | 3286 | 710 |
| 0 | 8291 | 693 |
| 0 | 37 | 150 |
| 0 | 69 | 138 |
| 1 | 277 | 115 |
| 2 | 2162 | 115 |
| 0 | 8388 | 113 |
| 0 | 13 | 46 |
| 0 | 23 | 46 |
| 1 | 98 | 46 |
| 2 | 768 | 44 |
| 0 | 8448 | 39 |
| 0 | 185 | 1959 |
| 1 | 552 | 1906 |
| 2 | 2134 | 1849 |
| 0 | 8489 | 1768 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 504 to 280 computations (44.4% saved)
(abs cosTheta)
(abs alpha)
Compiled 908 to 472 computations (48% saved)
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