
Time bar (total: 10.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 50% | 28.1% | 28.1% | 43.8% | 0% | 0% | 0% | 2 |
| 75% | 42.1% | 14% | 43.8% | 0% | 0% | 0% | 3 |
| 87.5% | 49.2% | 7% | 43.8% | 0% | 0% | 0% | 4 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 5 |
| 96.9% | 54.4% | 1.8% | 43.8% | 0% | 0% | 0% | 6 |
| 98.4% | 55.3% | 0.9% | 43.8% | 0% | 0% | 0% | 7 |
| 99.2% | 55.7% | 0.4% | 43.8% | 0% | 0% | 0% | 8 |
| 99.6% | 56% | 0.2% | 43.8% | 0% | 0% | 0% | 9 |
| 99.8% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 10 |
| 99.9% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 11 |
| 100% | 56.1% | 0% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 21 to 15 computations (28.6% saved)
| 445.0ms | 6 090× | 0 | valid |
| 247.0ms | 1 455× | 1 | valid |
| 169.0ms | 711× | 2 | valid |
ival-add: 180.0ms (31.5% of total)ival-div: 157.0ms (27.5% of total)adjust: 88.0ms (15.4% of total)ival-sub: 76.0ms (13.3% of total)ival->: 41.0ms (7.2% of total)exact: 15.0ms (2.6% of total)ival-and: 12.0ms (2.1% of total)ival-assert: 3.0ms (0.5% of total)| 1× | egg-herbie |
| 2 176× | lower-fma.f64 |
| 2 176× | lower-fma.f32 |
| 1 384× | distribute-rgt-in |
| 1 218× | distribute-lft-in |
| 1 056× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 71 |
| 1 | 73 | 67 |
| 2 | 167 | 67 |
| 3 | 440 | 65 |
| 4 | 1153 | 65 |
| 5 | 2761 | 65 |
| 6 | 5383 | 65 |
| 7 | 6224 | 65 |
| 8 | 6491 | 65 |
| 9 | 6607 | 65 |
| 10 | 6633 | 65 |
| 11 | 6633 | 65 |
| 12 | 6681 | 65 |
| 13 | 6780 | 65 |
| 14 | 6780 | 65 |
| 15 | 6780 | 65 |
| 16 | 6884 | 65 |
| 17 | 7904 | 65 |
| 0 | 10 | 13 |
| 0 | 16 | 13 |
| 1 | 28 | 13 |
| 2 | 45 | 13 |
| 3 | 73 | 13 |
| 4 | 133 | 13 |
| 5 | 292 | 13 |
| 6 | 572 | 13 |
| 7 | 944 | 13 |
| 8 | 1607 | 13 |
| 9 | 2841 | 13 |
| 10 | 3063 | 13 |
| 11 | 3150 | 13 |
| 12 | 3204 | 13 |
| 13 | 3206 | 13 |
| 14 | 3206 | 13 |
| 15 | 3206 | 13 |
| 0 | 3206 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 74 | 0 | - | 0 | - | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | beta |
| 0 | 0 | - | 0 | - | (+.f64 alpha beta) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 beta alpha) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | cancellation | 74 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 74 | 0 |
| - | 0 | 182 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 74 | 0 | 0 |
| - | 0 | 0 | 182 |
| number | freq |
|---|---|
| 0 | 182 |
| 1 | 74 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 370× | 0 | valid |
| 14.0ms | 94× | 1 | valid |
| 10.0ms | 48× | 2 | valid |
Compiled 130 to 44 computations (66.2% saved)
ival-add: 11.0ms (36.4% of total)ival-div: 9.0ms (29.8% of total)adjust: 5.0ms (16.5% of total)ival-sub: 4.0ms (13.2% of total)exact: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.1% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2 176× | lower-fma.f64 |
| 2 176× | lower-fma.f32 |
| 880× | lower-*.f64 |
| 880× | lower-*.f32 |
| 474× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 0 | 16 | 48 |
| 1 | 28 | 48 |
| 2 | 45 | 48 |
| 3 | 73 | 48 |
| 4 | 133 | 48 |
| 5 | 292 | 48 |
| 6 | 572 | 48 |
| 7 | 944 | 48 |
| 8 | 1607 | 48 |
| 9 | 2841 | 48 |
| 10 | 3063 | 48 |
| 11 | 3150 | 48 |
| 12 | 3204 | 48 |
| 13 | 3206 | 48 |
| 14 | 3206 | 48 |
| 15 | 3206 | 48 |
| 0 | 3206 | 47 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 alpha beta) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+.f64 alpha beta) |
(+.f64 beta alpha) |
#s(literal 2 binary64) |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 alpha beta) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| ✓ | accuracy | 73.1% | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 20.0ms | 185× | 0 | valid |
| 7.0ms | 47× | 1 | valid |
| 5.0ms | 24× | 2 | valid |
Compiled 50 to 12 computations (76% saved)
ival-add: 5.0ms (35.4% of total)ival-div: 4.0ms (28.3% of total)adjust: 2.0ms (14.2% of total)ival-sub: 2.0ms (14.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64))> |
#<alt (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64))> |
#<alt (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)))> |
#<alt (-.f64 beta alpha)> |
#<alt (+.f64 alpha beta)> |
#<alt (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))> |
| Outputs |
|---|
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (- 1 (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))> |
#<alt 2> |
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))> |
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))> |
#<alt 2> |
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (+ 1 (/ beta (+ 2 beta)))> |
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (/ (+ 2 (* 2 beta)) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)> |
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ alpha (+ 2 alpha)))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (/ beta (+ 2 beta))> |
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt -1> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt beta> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt alpha> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | 0 | (+ (+ alpha beta) 2) |
| 1.0ms | alpha | @ | -inf | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | beta | @ | 0 | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | alpha | @ | inf | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | alpha | @ | 0 | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1× | egg-herbie |
| 9 688× | lower-fma.f64 |
| 9 688× | lower-fma.f32 |
| 3 924× | lower-+.f64 |
| 3 924× | lower-+.f32 |
| 3 726× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4563 | 2155 |
| 0 | 8642 | 2014 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
2 |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
| Outputs |
|---|
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) (neg.f64 (/.f64 (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(+.f64 #s(literal 2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (neg.f64 (*.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
(-.f64 (fma.f64 (/.f64 alpha (*.f64 beta beta)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) #s(literal 2 binary64)) (fma.f64 (+.f64 alpha #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) beta) (*.f64 (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))))) |
2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta)) beta)) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 alpha (+.f64 (fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 alpha (fma.f64 alpha (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (-.f64 (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (+.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 #s(literal 2 binary64) beta)) (-.f64 #s(literal 2 binary64) (*.f64 (/.f64 beta alpha) (-.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha))))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 #s(literal 2 binary64) beta)) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 beta (fma.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 alpha alpha)) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (neg.f64 alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha))) (neg.f64 alpha))) alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+.f64 (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) (neg.f64 beta)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta)) beta)) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 alpha (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 alpha (+.f64 (fma.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 alpha alpha)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal 1 binary64)) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta)) alpha)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) (neg.f64 beta)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (/.f64 (*.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (/.f64 (*.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (/.f64 (*.f64 alpha beta) beta)) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (/.f64 (*.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (/.f64 (*.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (/.f64 (*.f64 alpha beta) beta)) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 (/.f64 (*.f64 alpha beta) alpha) alpha) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
alpha |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 beta)) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 beta)) beta) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 alpha (neg.f64 beta)) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
| 1× | batch-egg-rewrite |
| 5 066× | lower-fma.f64 |
| 5 066× | lower-fma.f32 |
| 4 410× | lower-*.f64 |
| 4 410× | lower-*.f32 |
| 4 264× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 9057 | 43 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
(-.f64 beta alpha) |
(+.f64 alpha beta) |
(+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) #s(literal 1/2 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 alpha beta) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) |
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(/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) |
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(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (neg.f64 (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (neg.f64 (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64)))))) |
(/.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) #s(literal 4 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)))) (neg.f64 (neg.f64 (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)))) (neg.f64 (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (neg.f64 (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(/.f64 (fma.f64 beta (*.f64 beta beta) (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 3 binary64))) (fma.f64 beta beta (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 2 binary64) alpha) #s(literal 3 binary64)) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha) (-.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) alpha) beta)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (fma.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))))) |
(/.f64 (-.f64 (*.f64 beta beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha alpha)) (-.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) |
(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) |
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) |
(*.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (neg.f64 (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
Compiled 18 316 to 2 314 computations (87.4% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 580 | 9 | 589 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 581 | 9 | 590 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 73.1% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 72.8% | (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 25.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
| ▶ | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
| ▶ | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
| 29.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)) | |
| 30.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) | |
| 52.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) | |
| ▶ | 33.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 256 to 170 computations (33.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
| ✓ | cost-diff | 512 | (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) |
| ✓ | cost-diff | 0 | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
| ✓ | cost-diff | 384 | (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) beta) |
| ✓ | cost-diff | 0 | (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 26 526× | lower-fma.f32 |
| 26 516× | lower-fma.f64 |
| 3 184× | lower-*.f32 |
| 3 182× | lower-*.f64 |
| 2 350× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 244 |
| 0 | 57 | 244 |
| 1 | 115 | 244 |
| 2 | 212 | 242 |
| 3 | 490 | 240 |
| 4 | 1607 | 231 |
| 5 | 6838 | 231 |
| 0 | 8193 | 225 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+.f64 alpha #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
beta |
(+.f64 #s(literal 2 binary64) beta) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(+.f64 #s(literal 2 binary64) beta) |
#s(literal 2 binary64) |
beta |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta) |
(-.f64 #s(literal -2 binary64) beta) |
#s(literal -2 binary64) |
alpha |
(+.f64 #s(literal 1 binary64) beta) |
#s(literal 1 binary64) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(/.f64 (-.f64 beta alpha) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) |
(-.f64 beta alpha) |
beta |
alpha |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+.f64 alpha (+.f64 beta #s(literal 2 binary64))) |
(+.f64 alpha #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(/.f64 beta (+.f64 beta #s(literal 2 binary64))) |
beta |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) alpha) beta)) |
#s(literal 1/2 binary64) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) #s(literal 1 binary64))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) |
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha) #s(literal 1 binary64))) |
#s(literal 1/2 binary64) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) |
(/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta) |
(-.f64 #s(literal -2 binary64) (+.f64 beta beta)) |
(-.f64 #s(literal -2 binary64) beta) |
#s(literal -2 binary64) |
alpha |
(+.f64 #s(literal 1 binary64) beta) |
(+.f64 beta #s(literal 1 binary64)) |
#s(literal 1 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
| ✓ | accuracy | 99.1% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| ✓ | accuracy | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
| ✓ | accuracy | 100.0% | (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
| ✓ | accuracy | 25.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) beta) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
| ✓ | accuracy | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 33.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 alpha #s(literal 2 binary64)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | accuracy | 73.1% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 118.0ms | 184× | 0 | valid |
| 23.0ms | 47× | 1 | valid |
| 18.0ms | 25× | 2 | valid |
Compiled 214 to 36 computations (83.2% saved)
ival-add: 18.0ms (31.1% of total)ival-div: 15.0ms (25.9% of total)ival-mult: 10.0ms (17.3% of total)adjust: 8.0ms (13.8% of total)ival-sub: 5.0ms (8.6% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))> |
#<alt (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))> |
#<alt (-.f64 beta alpha)> |
#<alt (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))> |
#<alt (/.f64 beta (+.f64 #s(literal 2 binary64) beta))> |
#<alt (+.f64 #s(literal 2 binary64) beta)> |
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)))> |
#<alt (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)> |
#<alt (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha))> |
#<alt (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)> |
#<alt (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))> |
#<alt (+.f64 alpha #s(literal 2 binary64))> |
#<alt (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)> |
| Outputs |
|---|
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))> |
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ alpha (+ 2 alpha)))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (/ beta (+ 2 beta))> |
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt -1> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))> |
#<alt (* 1/2 beta)> |
#<alt (* beta (+ 1/2 (* -1/4 beta)))> |
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))> |
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 beta)))> |
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))> |
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 beta)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))> |
#<alt 2> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (* -1 (/ alpha beta))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* -1 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* 1/2 (/ (- (* -2 alpha) 2) beta))> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (/ -2 beta)> |
#<alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))> |
#<alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))> |
#<alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))> |
#<alt (* -2 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -2 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt -2> |
#<alt (- (* -2 alpha) 2)> |
#<alt (- (* -2 alpha) 2)> |
#<alt (- (* -2 alpha) 2)> |
#<alt (* -2 alpha)> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -2 alpha)> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (* -1 (/ (pow beta 2) alpha))> |
#<alt (* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))> |
#<alt (* -1 (/ (pow beta 2) alpha))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))> |
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)> |
#<alt (+ 1 beta)> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 beta)> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)> |
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (/ -4 alpha)> |
#<alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))> |
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))> |
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))> |
#<alt (* -2 (/ (pow beta 2) alpha))> |
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* -2 (/ (pow beta 2) alpha))> |
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt 2> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt -2> |
#<alt (- (* -2 beta) 2)> |
#<alt (- (* -2 beta) 2)> |
#<alt (- (* -2 beta) 2)> |
#<alt (* -2 beta)> |
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))> |
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))> |
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))> |
#<alt (* -2 beta)> |
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))> |
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))> |
#<alt (* -1 (* beta (+ 2 (* 2 (/ 1 beta)))))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | beta | @ | -inf | (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) |
| 1.0ms | alpha | @ | inf | (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) |
| 1.0ms | beta | @ | inf | (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) |
| 1.0ms | alpha | @ | 0 | (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) |
| 1.0ms | alpha | @ | 0 | (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) |
| 1× | egg-herbie |
| 7 838× | lower-fma.f64 |
| 7 838× | lower-fma.f32 |
| 4 946× | lower-*.f64 |
| 4 946× | lower-*.f32 |
| 3 640× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 638 | 6707 |
| 1 | 1984 | 6325 |
| 2 | 6107 | 6119 |
| 0 | 8367 | 5744 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
1 |
(- 1 (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
1 |
(- 1 (* 2 (/ 1 beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 2 beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* -1 (/ alpha beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
-2 |
(- (* -2 alpha) 2) |
(- (* -2 alpha) 2) |
(- (* -2 alpha) 2) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(+ 1 beta) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 beta) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/ -4 alpha) |
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(* -2 (/ (pow beta 2) alpha)) |
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* -2 (/ (pow beta 2) alpha)) |
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
2 |
(+ 2 alpha) |
(+ 2 alpha) |
(+ 2 alpha) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
-2 |
(- (* -2 beta) 2) |
(- (* -2 beta) 2) |
(- (* -2 beta) 2) |
(* -2 beta) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(* -2 beta) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
| Outputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(fma.f64 beta (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (+.f64 (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) (neg.f64 beta))) beta)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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#s(literal 1 binary64) |
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(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
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(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (+.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
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(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
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(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
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#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
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(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) |
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#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
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(* -1 alpha) |
(neg.f64 alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha) |
(* -1 alpha) |
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 (*.f64 alpha (/.f64 beta alpha)) alpha) |
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(+ 2 (+ alpha beta)) |
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(+ 2 (+ alpha beta)) |
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(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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beta |
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(+ 2 (+ alpha beta)) |
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alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
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(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
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alpha |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) (neg.f64 beta))) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) (neg.f64 beta))) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 beta beta))) (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta beta))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
(* 1/2 beta) |
(*.f64 #s(literal 1/2 binary64) beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(*.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
(*.f64 beta (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal -2 binary64) beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 8 binary64) (*.f64 beta (*.f64 beta beta)))))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta)) |
2 |
#s(literal 2 binary64) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal -1 binary64) beta)) |
(* -1 (/ alpha beta)) |
(neg.f64 (/.f64 alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) alpha)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) alpha)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) alpha)) |
(* -1 (/ alpha beta)) |
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(-.f64 (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) alpha)) (/.f64 alpha beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(-.f64 (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) alpha)) (/.f64 alpha beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(-.f64 (*.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) alpha)) (/.f64 alpha beta)) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 alpha #s(literal -2 binary64)) #s(literal -1 binary64)) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
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#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) (neg.f64 beta))) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 alpha (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal 1/2 binary64) alpha) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))) alpha) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
(/ -2 beta) |
(/.f64 #s(literal -2 binary64) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(* -2 (/ alpha beta)) |
(/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -2 (/ alpha beta)) |
(/.f64 (*.f64 alpha #s(literal -2 binary64)) beta) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
-2 |
#s(literal -2 binary64) |
(- (* -2 alpha) 2) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 alpha) 2) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 alpha) 2) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(- 1 (* 2 (/ 1 alpha))) |
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(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
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(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
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(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
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(* -1 (/ (pow beta 2) alpha)) |
(*.f64 beta (/.f64 beta (neg.f64 alpha))) |
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))) |
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(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
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(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
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(* -1 (/ (pow beta 2) alpha)) |
(*.f64 beta (/.f64 beta (neg.f64 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) beta) (/.f64 #s(literal -1 binary64) alpha))) |
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(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) alpha) |
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(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) alpha) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(neg.f64 (*.f64 beta (/.f64 beta (*.f64 alpha alpha)))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta)))) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 alpha (*.f64 beta beta)))))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta)))) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 alpha (*.f64 beta beta)))))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(neg.f64 (*.f64 beta (/.f64 beta (*.f64 alpha alpha)))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta)) (/.f64 #s(literal -1 binary64) alpha)) beta))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta)) (/.f64 #s(literal -1 binary64) alpha)) beta))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) alpha)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) alpha)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) alpha)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
(/ -4 alpha) |
(/.f64 #s(literal -4 binary64) alpha) |
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(fma.f64 (/.f64 beta alpha) #s(literal -6 binary64) (/.f64 #s(literal -4 binary64) alpha)) |
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha)) |
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(fma.f64 beta (fma.f64 beta (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -6 binary64) alpha)) (/.f64 #s(literal -4 binary64) alpha)) |
(* -2 (/ (pow beta 2) alpha)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 beta beta) alpha)) |
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha beta))) (*.f64 beta (neg.f64 beta))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta))) |
(* -2 (/ (pow beta 2) alpha)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 beta beta) alpha)) |
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) |
(*.f64 (+.f64 (/.f64 #s(literal 2 binary64) alpha) (/.f64 #s(literal 6 binary64) (*.f64 alpha beta))) (*.f64 beta (neg.f64 beta))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 (/.f64 #s(literal 6 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 alpha beta))) beta))) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
-2 |
#s(literal -2 binary64) |
(- (* -2 beta) 2) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 beta) 2) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 beta) 2) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -2 beta) |
(*.f64 beta #s(literal -2 binary64)) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -2 beta) |
(*.f64 beta #s(literal -2 binary64)) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* beta (+ 2 (* 2 (/ 1 beta))))) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
| 1× | batch-egg-rewrite |
| 5 698× | lower-*.f32 |
| 5 696× | lower-*.f64 |
| 3 678× | lower-fma.f32 |
| 3 668× | lower-fma.f64 |
| 3 594× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 209 |
| 0 | 57 | 205 |
| 1 | 316 | 205 |
| 2 | 2712 | 205 |
| 0 | 8263 | 202 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(-.f64 beta alpha) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+.f64 #s(literal 2 binary64) beta) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) |
(+.f64 alpha #s(literal 2 binary64)) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (+.f64 (+.f64 beta alpha) #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/4 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/4 binary64)))) |
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(neg.f64 (/.f64 (-.f64 beta alpha) (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) beta)))) |
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(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 beta alpha))) (neg.f64 (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) beta)))) |
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(/.f64 (-.f64 (neg.f64 beta) (neg.f64 alpha)) (+.f64 (neg.f64 alpha) (-.f64 #s(literal -2 binary64) beta))) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta alpha)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
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(*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
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(+.f64 beta (neg.f64 alpha)) |
(+.f64 (neg.f64 alpha) beta) |
(-.f64 beta alpha) |
(-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 alpha (+.f64 beta alpha) (*.f64 beta beta))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (fma.f64 alpha (+.f64 beta alpha) (*.f64 beta beta)))) |
(-.f64 (/.f64 (*.f64 beta beta) (+.f64 beta alpha)) (/.f64 (*.f64 alpha alpha) (+.f64 beta alpha))) |
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(fma.f64 #s(literal -1 binary64) alpha beta) |
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(pow.f64 (/.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) #s(literal -1 binary64)) |
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(*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta alpha))) |
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(*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 alpha beta))) (-.f64 alpha beta)) |
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(fma.f64 beta #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(fma.f64 #s(literal 1 binary64) beta (+.f64 alpha #s(literal 2 binary64))) |
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#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
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(*.f64 (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 beta (-.f64 #s(literal -2 binary64) beta))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) beta)) |
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(pow.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) #s(literal -1 binary64)) |
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(*.f64 (/.f64 #s(literal 1 binary64) alpha) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 #s(literal 1/8 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)))) (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)))) (*.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))))))) |
(*.f64 (pow.f64 (/.f64 alpha (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64))))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64))) |
(+.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta)) |
(+.f64 (*.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))) |
(+.f64 (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (*.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))) |
(fma.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (*.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))) |
(fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (*.f64 beta (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) #s(literal 2 binary64) (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) beta)) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))) |
(/.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) alpha) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) (neg.f64 alpha))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 2 binary64) beta) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (*.f64 (-.f64 #s(literal 2 binary64) beta) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (*.f64 (-.f64 #s(literal 2 binary64) beta) (neg.f64 alpha))) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta))) |
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 alpha (-.f64 #s(literal 2 binary64) beta))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (*.f64 (neg.f64 alpha) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (*.f64 (neg.f64 alpha) (-.f64 #s(literal 2 binary64) beta))) |
(/.f64 (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (neg.f64 alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) |
(/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (neg.f64 alpha)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (-.f64 #s(literal 2 binary64) beta)) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) (-.f64 #s(literal 2 binary64) beta)) |
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (+.f64 beta #s(literal 2 binary64))) (neg.f64 alpha)) |
(pow.f64 (/.f64 alpha (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha)) |
(*.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (+.f64 beta #s(literal 2 binary64))) |
(*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (/.f64 #s(literal 1 binary64) alpha)) |
(+.f64 alpha #s(literal 2 binary64)) |
(+.f64 #s(literal 2 binary64) alpha) |
(-.f64 (/.f64 (*.f64 alpha alpha) (+.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (+.f64 alpha #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64)))) |
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64)))) |
(/.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (-.f64 (*.f64 alpha alpha) (*.f64 alpha #s(literal 2 binary64))))) |
(/.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (+.f64 alpha #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (neg.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 alpha alpha #s(literal -4 binary64))) (neg.f64 (+.f64 alpha #s(literal -2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 alpha alpha)) (-.f64 #s(literal 2 binary64) alpha)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 alpha #s(literal -2 binary64)) (fma.f64 alpha alpha #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) |
(*.f64 (fma.f64 alpha alpha #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal -2 binary64)))) |
(+.f64 #s(literal -2 binary64) (neg.f64 (+.f64 beta beta))) |
(+.f64 #s(literal -2 binary64) (+.f64 (neg.f64 beta) (neg.f64 beta))) |
(+.f64 #s(literal -2 binary64) (-.f64 (neg.f64 beta) beta)) |
(+.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta)) |
(+.f64 (neg.f64 beta) (-.f64 #s(literal -2 binary64) beta)) |
(-.f64 #s(literal -2 binary64) (+.f64 beta beta)) |
(-.f64 #s(literal -2 binary64) (-.f64 beta (neg.f64 beta))) |
(-.f64 (-.f64 #s(literal -2 binary64) beta) beta) |
(-.f64 (/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (-.f64 beta beta))) (/.f64 (*.f64 beta beta) (-.f64 #s(literal -2 binary64) (-.f64 beta beta)))) |
(fma.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) (neg.f64 beta)) |
(fma.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64))) (neg.f64 beta)) |
(fma.f64 #s(literal -1 binary64) beta (-.f64 #s(literal -2 binary64) beta)) |
(fma.f64 #s(literal -1 binary64) (+.f64 beta #s(literal 2 binary64)) (neg.f64 beta)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)) (-.f64 (*.f64 beta beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta))))) |
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 #s(literal -2 binary64) (-.f64 beta beta))) |
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (-.f64 (-.f64 #s(literal -2 binary64) beta) (neg.f64 beta))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) (neg.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)))) |
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta beta) (+.f64 beta beta) (*.f64 #s(literal -2 binary64) (+.f64 beta beta))))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta beta) (+.f64 beta beta))) (+.f64 #s(literal -2 binary64) (+.f64 beta beta))) |
(pow.f64 (/.f64 (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta)))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (fma.f64 beta (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) |
(*.f64 (*.f64 (-.f64 #s(literal -2 binary64) (-.f64 beta beta)) (-.f64 #s(literal -2 binary64) (+.f64 beta beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) (-.f64 beta beta)))) |
Compiled 23 505 to 2 461 computations (89.5% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 897 | 17 | 914 |
| Fresh | 3 | 1 | 4 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 903 | 20 | 923 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.8% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| 52.5% | (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.7% | (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) | |
| ▶ | 29.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
| ✓ | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
| 29.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)) | |
| 30.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 27.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64)))))) | |
| 23.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)))) | |
| 14.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))) | |
| ▶ | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
| ▶ | 25.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
| 48.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) | |
| 47.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) | |
| 48.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) | |
| ▶ | 51.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 33.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 593 to 336 computations (43.3% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
| ✓ | cost-diff | 64 | (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) beta) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| 15 342× | lower-fma.f32 |
| 15 336× | lower-fma.f64 |
| 3 560× | lower-*.f32 |
| 3 558× | lower-*.f64 |
| 1 916× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 339 |
| 0 | 75 | 343 |
| 1 | 146 | 343 |
| 2 | 290 | 337 |
| 3 | 720 | 333 |
| 4 | 2485 | 312 |
| 5 | 6616 | 312 |
| 0 | 8287 | 306 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 beta alpha) |
beta |
alpha |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+.f64 alpha #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) beta) |
#s(literal -1 binary64) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) |
(*.f64 alpha #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha))) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) |
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) |
(+.f64 #s(literal 2 binary64) beta) |
#s(literal 2 binary64) |
beta |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
#s(literal 1 binary64) |
alpha |
#s(literal -1 binary64) |
(neg.f64 alpha) |
| Outputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 beta alpha) |
beta |
alpha |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 alpha (+.f64 beta #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+.f64 alpha (+.f64 beta #s(literal 2 binary64))) |
(+.f64 alpha #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) beta) |
#s(literal -1 binary64) |
beta |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) |
(*.f64 alpha #s(literal -2 binary64)) |
alpha |
#s(literal -2 binary64) |
beta |
#s(literal 1 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha)) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha) |
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) |
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) |
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64)) |
(+.f64 #s(literal 2 binary64) beta) |
(+.f64 beta #s(literal 2 binary64)) |
#s(literal 2 binary64) |
beta |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
#s(literal 1 binary64) |
alpha |
#s(literal -1 binary64) |
(neg.f64 alpha) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) |
| ✓ | accuracy | 99.9% | (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) |
| ✓ | accuracy | 99.1% | (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
| ✓ | accuracy | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
| ✓ | accuracy | 100.0% | (*.f64 alpha #s(literal -2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) |
| ✓ | accuracy | 36.1% | #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) |
| ✓ | accuracy | 25.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) beta) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
| ✓ | accuracy | 71.1% | #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
| ✓ | accuracy | 25.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
| ✓ | accuracy | 74.7% | #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (+.f64 alpha #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | accuracy | 72.9% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| 51.0ms | 184× | 0 | valid |
| 27.0ms | 47× | 1 | valid |
| 23.0ms | 25× | 2 | valid |
Compiled 229 to 46 computations (79.9% saved)
ival-div: 24.0ms (31% of total)ival-add: 21.0ms (27.1% of total)ival-mult: 12.0ms (15.5% of total)adjust: 10.0ms (12.9% of total)ival-sub: 9.0ms (11.6% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))> |
#<alt (-.f64 beta alpha)> |
#<alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))> |
#<alt (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)))> |
#<alt #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))))> |
#<alt #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))> |
#<alt (/.f64 #s(literal -1 binary64) beta)> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)))> |
#<alt (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))> |
#<alt (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta)> |
#<alt #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))> |
#<alt (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha))> |
#<alt (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta)> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha))))> |
#<alt #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))> |
#<alt (+.f64 alpha #s(literal 2 binary64))> |
#<alt (*.f64 alpha #s(literal -2 binary64))> |
#<alt (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64))> |
| Outputs |
|---|
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))> |
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (/ 1/2 (+ 2 alpha))> |
#<alt (+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (/ 1/2 beta)> |
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)> |
#<alt (/ 1/2 beta)> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))> |
#<alt (/ 1/2 (+ 2 beta))> |
#<alt (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (/ 1/2 alpha)> |
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (* -1 (/ alpha beta))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* -1 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* 1/2 (/ (- (* -2 alpha) 2) beta))> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (/ -1 beta)> |
#<alt (/ (- beta 1) beta)> |
#<alt (/ (- beta 1) beta)> |
#<alt (/ (- beta 1) beta)> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- 1 (/ 1 beta))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- 1 (/ 1 beta))> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (/ -1 beta)> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta))> |
#<alt (* -1 (/ alpha beta))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta)))))> |
#<alt (* -1 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta))))> |
#<alt (* 1/2 (/ (- (* -2 alpha) 2) beta))> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt (/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta)> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta)))> |
#<alt (/ -2 beta)> |
#<alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))> |
#<alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))> |
#<alt (- (* -2 (/ alpha beta)) (* 2 (/ 1 beta)))> |
#<alt (* -2 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -2 (/ alpha beta))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt (/ (- (* -2 alpha) 2) beta)> |
#<alt -2> |
#<alt (- (* -2 alpha) 2)> |
#<alt (- (* -2 alpha) 2)> |
#<alt (- (* -2 alpha) 2)> |
#<alt (* -2 alpha)> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -2 alpha)> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* alpha (+ 2 (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))> |
#<alt (+ (* -1 (* beta (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)))) (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))> |
#<alt (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2))))))> |
#<alt (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))> |
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))> |
#<alt (- (* 2 (/ 1 alpha)) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1)> |
#<alt (/ (pow beta 2) alpha)> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 3 (* alpha beta))) (/ 1 beta)))> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2)))))> |
#<alt (/ (pow beta 2) alpha)> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- 1 (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (/ (* (+ 1 beta) (+ 2 beta)) alpha)> |
#<alt (/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (* -1 (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (* -1 (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)> |
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt 2> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (* -2 alpha)> |
#<alt (- (* 2 (/ 1 alpha)) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) 1)> |
#<alt (/ (pow beta 2) alpha)> |
#<alt (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (/ 1 (pow beta 2))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (/ 1 (pow beta 2))))> |
#<alt (/ (pow beta 2) alpha)> |
#<alt (* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta)))))> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (/ (* (+ 1 beta) (+ 2 beta)) alpha)> |
#<alt (/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt -1> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1)> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1)> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1)> |
#<alt -1> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1)> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1)> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1)> |
108 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (/ (- (+ (* (+ 2 beta) (/ (+ beta 1) alpha)) -1) beta) (neg alpha)) |
| 1.0ms | beta | @ | 0 | (/ (- (+ (* (+ 2 beta) (/ (+ beta 1) alpha)) -1) beta) (neg alpha)) |
| 1.0ms | alpha | @ | inf | (/ (- (+ (* (+ 2 beta) (/ (+ beta 1) alpha)) -1) beta) (neg alpha)) |
| 1.0ms | beta | @ | inf | (/ (- (+ (* (+ 2 beta) (/ (+ beta 1) alpha)) -1) beta) (neg alpha)) |
| 1.0ms | beta | @ | -inf | (/ (- (+ (* (+ 2 beta) (/ (+ beta 1) alpha)) -1) beta) (neg alpha)) |
| 1× | egg-herbie |
| 7 870× | lower-fma.f64 |
| 7 870× | lower-fma.f32 |
| 5 176× | lower-*.f64 |
| 5 176× | lower-*.f32 |
| 3 414× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 680 | 7118 |
| 1 | 2099 | 6708 |
| 2 | 6326 | 6560 |
| 0 | 8505 | 6169 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(/ 1/2 (+ 2 alpha)) |
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(/ 1/2 beta) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) |
(/ 1/2 beta) |
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/ 1/2 (+ 2 beta)) |
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(/ 1/2 alpha) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/ 1/2 alpha) |
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* -1 (/ alpha beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(/ -1 beta) |
(/ (- beta 1) beta) |
(/ (- beta 1) beta) |
(/ (- beta 1) beta) |
1 |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
1 |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(- 1 (/ 1 beta)) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(/ -1 beta) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- 1 (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(* -1 (/ alpha beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(* -1 (/ alpha beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
1 |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(/ -2 beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 (/ alpha beta)) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
(/ (- (* -2 alpha) 2) beta) |
-2 |
(- (* -2 alpha) 2) |
(- (* -2 alpha) 2) |
(- (* -2 alpha) 2) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -2 alpha) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(+ (* -1 (* beta (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)))) (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(- (* 2 (/ 1 alpha)) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 3 (* alpha beta))) (/ 1 beta))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (* -1 (/ (- 1 (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(/ (* (+ 1 beta) (+ 2 beta)) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(* -1 (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(* -1 (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
2 |
(+ 2 alpha) |
(+ 2 alpha) |
(+ 2 alpha) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(* -2 alpha) |
(- (* 2 (/ 1 alpha)) 1) |
(- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) 1) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (/ 1 (pow beta 2)))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (/ 1 (pow beta 2)))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(/ (* (+ 1 beta) (+ 2 beta)) alpha) |
(/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha) |
-1 |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
-1 |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
| Outputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(fma.f64 beta (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) beta)) beta)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* alpha (- (/ beta alpha) 1)) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* alpha (- (/ beta alpha) 1)) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(/ 1/2 (+ 2 alpha)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(/ 1/2 beta) |
(/.f64 #s(literal 1/2 binary64) beta) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) beta) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64)) beta) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal 1/2 binary64))) beta) |
(/ 1/2 beta) |
(/.f64 #s(literal 1/2 binary64) beta) |
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) beta) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (-.f64 #s(literal -2 binary64) alpha)) beta) #s(literal -1/2 binary64)) (neg.f64 beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) beta) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) (neg.f64 beta)) |
(/ 1/2 (+ 2 beta)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) alpha) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) #s(literal 1/2 binary64)) alpha) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (*.f64 alpha (*.f64 alpha alpha))))) alpha) |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) alpha) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) #s(literal -1/2 binary64)) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) alpha)) (neg.f64 alpha)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (neg.f64 beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(+.f64 alpha (fma.f64 alpha (/.f64 beta alpha) #s(literal 2 binary64))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(+.f64 alpha (fma.f64 alpha (/.f64 beta alpha) #s(literal 2 binary64))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(+.f64 alpha (fma.f64 alpha (/.f64 beta alpha) #s(literal 2 binary64))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (neg.f64 alpha) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 beta (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (+.f64 (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) #s(literal 1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 alpha (fma.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
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(* -1 (/ alpha beta)) |
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(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
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(* -1 (/ alpha beta)) |
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(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
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(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
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(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(- 1 (/ 1 beta)) |
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(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
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(- (+ 1 (* -1 (/ alpha beta))) (/ 1 beta)) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 #s(literal -1 binary64) beta)) |
(* -1 (/ alpha beta)) |
(/.f64 alpha (neg.f64 beta)) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))))) |
(* alpha (- (/ 1 alpha) (+ (/ 1 beta) (/ 1 (* alpha beta))))) |
(+.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))))) |
(* -1 (/ alpha beta)) |
(/.f64 alpha (neg.f64 beta)) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(fma.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) alpha) (/.f64 alpha (neg.f64 beta))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(fma.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) alpha) (/.f64 alpha (neg.f64 beta))) |
(* -1 (* alpha (+ (* -1 (/ (- 1 (/ 1 beta)) alpha)) (/ 1 beta)))) |
(fma.f64 alpha (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) alpha) (/.f64 alpha (neg.f64 beta))) |
(* 1/2 (/ (- (* -2 alpha) 2) beta)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) |
(/ (+ beta (* 1/2 (- (* -2 alpha) 2))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) beta) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(+ 1 (* 1/2 (/ (- (* -2 alpha) 2) beta))) |
(fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1/2 binary64) beta) #s(literal 1 binary64)) |
(/ -2 beta) |
(/.f64 #s(literal -2 binary64) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(- (* -2 (/ alpha beta)) (* 2 (/ 1 beta))) |
(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
(* -2 (/ alpha beta)) |
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(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -2 (/ alpha beta)) |
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(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
(* -1 (* alpha (+ (* 2 (/ 1 beta)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 (neg.f64 alpha) (+.f64 (/.f64 #s(literal 2 binary64) beta) (/.f64 #s(literal 2 binary64) (*.f64 alpha beta)))) |
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(/ (- (* -2 alpha) 2) beta) |
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(/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) |
-2 |
#s(literal -2 binary64) |
(- (* -2 alpha) 2) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 alpha) 2) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (* -2 alpha) 2) |
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(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (* alpha (+ 2 (* 2 (/ 1 alpha))))) |
(fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(+ (* -1 (* beta (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)))) (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(*.f64 beta (/.f64 beta (*.f64 alpha (neg.f64 alpha)))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 beta (*.f64 beta (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta)))))) |
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
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(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta)))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) (*.f64 beta beta)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(*.f64 beta (/.f64 beta (*.f64 alpha (neg.f64 alpha)))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
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(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha) |
(- (* 2 (/ 1 alpha)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (/.f64 #s(literal 2 binary64) alpha))) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 beta (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha))) #s(literal -1 binary64))) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 beta (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha))) #s(literal -1 binary64))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 3 (* alpha beta))) (/ 1 beta))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1 binary64) beta)))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))) (/.f64 #s(literal -1 binary64) (*.f64 beta beta)))) (/.f64 #s(literal -1 binary64) beta))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))) (/.f64 #s(literal -1 binary64) (*.f64 beta beta)))) (/.f64 #s(literal -1 binary64) beta))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (+ (* -1 (/ (- 1 (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 #s(literal 3 binary64) alpha))) beta))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 #s(literal 3 binary64) alpha))) beta))) |
(/ (* (+ 1 beta) (+ 2 beta)) alpha) |
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64))) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(* -1 (+ 1 beta)) |
(-.f64 #s(literal -1 binary64) beta) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) |
(* -1 (+ 1 beta)) |
(-.f64 #s(literal -1 binary64) beta) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
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(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
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(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
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(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
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(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
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(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (-.f64 #s(literal -2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) (neg.f64 alpha))) (neg.f64 alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (*.f64 alpha alpha))) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(*.f64 beta (/.f64 beta (*.f64 alpha (neg.f64 alpha)))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha))) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(*.f64 beta (/.f64 beta (*.f64 alpha (neg.f64 alpha)))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 beta (*.f64 beta (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta)))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta)) (/.f64 #s(literal -1 binary64) alpha)) beta))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta)) (/.f64 #s(literal -1 binary64) alpha)) beta))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(* -2 alpha) |
(*.f64 alpha #s(literal -2 binary64)) |
(- (* 2 (/ 1 alpha)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ (* 2 (/ 1 alpha)) (* 3 (/ beta alpha))) 1) |
(+.f64 #s(literal -1 binary64) (fma.f64 beta (/.f64 #s(literal 3 binary64) alpha) (/.f64 #s(literal 2 binary64) alpha))) |
(- (+ (* 2 (/ 1 alpha)) (* beta (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 beta (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)) #s(literal -1 binary64))) |
(- (+ (* 2 (/ 1 alpha)) (* beta (+ (* 3 (/ 1 alpha)) (/ beta alpha)))) 1) |
(+.f64 (/.f64 #s(literal 2 binary64) alpha) (fma.f64 beta (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 3 binary64) alpha)) #s(literal -1 binary64))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (/ 1 (pow beta 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))) (/.f64 #s(literal -1 binary64) (*.f64 beta beta))))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (/ 1 (pow beta 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))) (/.f64 #s(literal -1 binary64) (*.f64 beta beta))))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (+ (/ 1 alpha) (* 3 (/ 1 (* alpha beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)))) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (/.f64 #s(literal 3 binary64) (*.f64 alpha beta))))) |
(* (pow beta 2) (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (/.f64 #s(literal 3 binary64) (*.f64 alpha beta))))) |
(/ (* (+ 1 beta) (+ 2 beta)) alpha) |
(*.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64))) |
(/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) alpha) alpha) |
(/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) alpha) alpha) |
(/ (+ (* -1 alpha) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta #s(literal 1 binary64))) alpha) alpha) |
-1 |
#s(literal -1 binary64) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) 1) |
(fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) |
| 1× | batch-egg-rewrite |
| 4 932× | lower-/.f32 |
| 4 922× | lower-/.f64 |
| 3 816× | lower-*.f32 |
| 3 814× | lower-*.f64 |
| 3 174× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 308 |
| 0 | 75 | 308 |
| 1 | 428 | 308 |
| 2 | 3907 | 308 |
| 0 | 8977 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 beta alpha) |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(/.f64 #s(literal -1 binary64) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)) |
(/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) |
#s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) |
(/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)) |
(-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha))) |
(+.f64 alpha #s(literal 2 binary64)) |
(*.f64 alpha #s(literal -2 binary64)) |
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64))))) (/.f64 (*.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))))) |
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(/.f64 (neg.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (neg.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) |
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(/.f64 (-.f64 (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) |
(pow.f64 (/.f64 (-.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 beta (+.f64 alpha #s(literal -2 binary64))) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) |
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#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64)) |
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(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(+.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)) |
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(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) beta) #s(literal 1 binary64)))) |
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(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) beta)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (neg.f64 beta)) #s(literal -1 binary64))) |
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(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) beta) #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) beta) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) beta) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) beta)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))))) (*.f64 beta (*.f64 beta beta)))))) |
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(/.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta)) #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta)) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) beta)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) (*.f64 #s(literal 1/2 binary64) #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))))) (*.f64 beta (*.f64 beta beta))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal -1 binary64)) (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(*.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 beta #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 beta)) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) (neg.f64 beta))) |
(neg.f64 (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) (neg.f64 beta))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64)))) beta)) |
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(+.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))) |
(+.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)))) (/.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))))) |
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (+.f64 beta #s(literal 2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64))))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64))) alpha))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) #s(literal -1 binary64)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha))) (-.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64))))) (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64))))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal 1 binary64)))) |
Compiled 17 510 to 1 480 computations (91.5% saved)
23 alts after pruning (17 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 732 | 7 | 739 |
| Fresh | 3 | 10 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 736 | 23 | 759 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.8% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| ▶ | 70.5% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| 50.3% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) | |
| 29.1% | (fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) | |
| 52.5% | (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.7% | (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ✓ | 29.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
| ✓ | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
| 29.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)) | |
| 30.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 27.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64)))))) | |
| ▶ | 23.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
| 14.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (-.f64 (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 alpha)) (/.f64 beta (neg.f64 alpha))))) | |
| ▶ | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
| ✓ | 25.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
| ▶ | 48.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
| 47.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) | |
| ▶ | 48.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
| ✓ | 51.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 33.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 629 to 352 computations (44% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
| ✓ | cost-diff | 64 | (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) |
| ✓ | cost-diff | 320 | (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) |
| ✓ | cost-diff | 0 | (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
| ✓ | cost-diff | 0 | (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| ✓ | cost-diff | 0 | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| 16 320× | lower-fma.f32 |
| 16 308× | lower-fma.f64 |
| 3 772× | lower-*.f32 |
| 3 770× | lower-*.f64 |
| 2 104× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 405 |
| 0 | 80 | 408 |
| 1 | 154 | 408 |
| 2 | 314 | 406 |
| 3 | 820 | 394 |
| 4 | 2481 | 365 |
| 5 | 5463 | 365 |
| 0 | 8185 | 361 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 beta alpha) |
beta |
alpha |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))) |
#s(approx (+ alpha 2) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
beta |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
beta |
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
#s(literal -1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))) |
(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)) |
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) |
(+.f64 beta #s(literal 2 binary64)) |
beta |
#s(literal 2 binary64) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
#s(literal 1 binary64) |
alpha |
(-.f64 #s(literal -1 binary64) beta) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) alpha) |
| Outputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 beta alpha) |
beta |
alpha |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) |
#s(literal 1/2 binary64) |
(+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))) |
#s(approx (+ alpha 2) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
beta |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
beta |
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
(fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) |
#s(literal 1/16 binary64) |
#s(literal -1/8 binary64) |
#s(literal 1/4 binary64) |
#s(literal 1/2 binary64) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -2 binary64) alpha) |
#s(literal -2 binary64) |
alpha |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha)) |
(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha) |
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) |
(+.f64 beta #s(literal 2 binary64)) |
beta |
#s(literal 2 binary64) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+.f64 beta #s(literal 1 binary64)) |
#s(literal 1 binary64) |
alpha |
(-.f64 #s(literal -1 binary64) beta) |
#s(literal -1 binary64) |
(/.f64 #s(literal -1 binary64) alpha) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
| ✓ | accuracy | 100.0% | (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) |
| ✓ | accuracy | 99.0% | (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)) |
| ✓ | accuracy | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) |
| ✓ | accuracy | 99.1% | (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
| ✓ | accuracy | 70.6% | #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) |
| ✓ | accuracy | 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
| ✓ | accuracy | 100.0% | (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 71.3% | #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 71.5% | #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
| ✓ | accuracy | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
| ✓ | accuracy | 100.0% | (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) |
| ✓ | accuracy | 72.9% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 66.4% | #s(approx (+ alpha 2) #s(literal 2 binary64)) |
| 55.0ms | 184× | 0 | valid |
| 30.0ms | 47× | 1 | valid |
| 20.0ms | 25× | 2 | valid |
Compiled 265 to 53 computations (80% saved)
ival-add: 24.0ms (30.3% of total)ival-div: 19.0ms (23.9% of total)ival-mult: 16.0ms (20.2% of total)adjust: 12.0ms (15.1% of total)ival-sub: 7.0ms (8.8% of total)exact: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64))> |
#<alt (-.f64 beta alpha)> |
#<alt (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))))> |
#<alt (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))))> |
#<alt #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))))> |
#<alt #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))> |
#<alt (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))> |
#<alt (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha))> |
#<alt (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)> |
#<alt #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)))> |
#<alt (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))> |
#<alt (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))> |
#<alt (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta))> |
#<alt #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))))> |
#<alt #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))> |
#<alt #s(approx (+ alpha 2) #s(literal 2 binary64))> |
#<alt (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)> |
| Outputs |
|---|
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))> |
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (/ 1/2 (+ 2 alpha))> |
#<alt (+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (/ 1/2 beta)> |
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)> |
#<alt (/ 1/2 beta)> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))> |
#<alt (/ 1/2 (+ 2 beta))> |
#<alt (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (/ 1/2 alpha)> |
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (* 1/4 beta)> |
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))> |
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))> |
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))> |
#<alt (* 1/4 beta)> |
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))> |
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))> |
#<alt (* beta (+ 1/4 (* 1/2 (/ 1 beta))))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))> |
#<alt (* 1/16 (pow beta 3))> |
#<alt (* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta))))> |
#<alt (* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))> |
#<alt (* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta))))> |
#<alt (* 1/16 (pow beta 3))> |
#<alt (* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16)))> |
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16)))> |
#<alt (* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16)))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/8 beta))> |
#<alt (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))> |
#<alt (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))> |
#<alt (* 1/16 (pow beta 2))> |
#<alt (* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))> |
#<alt (* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))> |
#<alt (* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta))))> |
#<alt (* 1/16 (pow beta 2))> |
#<alt (* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta))))> |
#<alt (* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))> |
#<alt (* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta))))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)> |
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (* -1 (/ (pow beta 2) alpha))> |
#<alt (* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))> |
#<alt (* -1 (/ (pow beta 2) alpha))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))> |
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha)> |
#<alt (+ 1 beta)> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 beta)> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))))> |
#<alt (/ -2 alpha)> |
#<alt (/ (- alpha 2) alpha)> |
#<alt (/ (- alpha 2) alpha)> |
#<alt (/ (- alpha 2) alpha)> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))> |
#<alt (+ (* -1 (* beta (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)))) (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)))> |
#<alt (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2))))))> |
#<alt (+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2)))> |
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha))> |
#<alt (- (* 2 (/ 1 alpha)) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1)> |
#<alt (/ (pow beta 2) alpha)> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (/ 3 (* alpha beta))) (/ 1 beta)))> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2)))))> |
#<alt (/ (pow beta 2) alpha)> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- 1 (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha)))> |
#<alt (/ (* (+ 1 beta) (+ 2 beta)) alpha)> |
#<alt (/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha)> |
#<alt (* -1 (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (* -1 (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)> |
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2)))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha))> |
#<alt 2> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (/ 1 alpha)> |
#<alt (+ (/ 1 alpha) (/ beta alpha))> |
#<alt (+ (/ 1 alpha) (/ beta alpha))> |
#<alt (+ (/ 1 alpha) (/ beta alpha))> |
#<alt (/ beta alpha)> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (/ beta alpha)> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | alpha | @ | inf | (/ (+ beta 1) alpha) |
| 3.0ms | beta | @ | -inf | (/ (+ beta 1) alpha) |
| 0.0ms | beta | @ | -inf | (+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2) |
| 0.0ms | beta | @ | inf | (+ (* beta (+ (* beta (+ (* beta 1/16) -1/8)) 1/4)) 1/2) |
| 0.0ms | alpha | @ | 0 | (/ (+ beta 1) alpha) |
| 1× | egg-herbie |
| 7 630× | lower-fma.f64 |
| 7 630× | lower-fma.f32 |
| 4 710× | lower-*.f64 |
| 4 710× | lower-*.f32 |
| 4 426× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 704 | 7578 |
| 1 | 2177 | 7039 |
| 2 | 6550 | 6809 |
| 0 | 8193 | 6430 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(/ 1/2 (+ 2 alpha)) |
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(/ 1/2 beta) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) |
(/ 1/2 beta) |
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/ 1/2 (+ 2 beta)) |
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(/ 1/2 alpha) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/ 1/2 alpha) |
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* 1/4 beta)) |
(* 1/4 beta) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(* 1/4 beta) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(* 1/16 (pow beta 3)) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 3)) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(* 1/16 (pow beta 2)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(+ 1 beta) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 beta) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(/ -2 alpha) |
(/ (- alpha 2) alpha) |
(/ (- alpha 2) alpha) |
(/ (- alpha 2) alpha) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- 1 (* 2 (/ 1 alpha))) |
(- 1 (* 2 (/ 1 alpha))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- 1 (* 2 (/ 1 alpha))) |
(- 1 (* 2 (/ 1 alpha))) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(+ (* -1 (* beta (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)))) (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (/ (* (+ 1 beta) (+ 2 beta)) alpha)) alpha)) |
(- (* 2 (/ 1 alpha)) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 3 (* alpha beta))) (/ 1 beta))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(/ (pow beta 2) alpha) |
(* (pow beta 2) (+ (* -1 (/ (- 1 (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(/ (* (+ 1 beta) (+ 2 beta)) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(* -1 (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(* -1 (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
2 |
(+ 2 alpha) |
(+ 2 alpha) |
(+ 2 alpha) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 beta) alpha) |
| Outputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta)) (fma.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta beta)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) beta)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 beta (*.f64 (/.f64 alpha beta) beta)) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(neg.f64 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* alpha (- (/ beta alpha) 1)) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* alpha (- (/ beta alpha) 1)) |
(fma.f64 alpha (/.f64 beta alpha) (neg.f64 alpha)) |
(* -1 alpha) |
(neg.f64 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(+.f64 (neg.f64 alpha) (*.f64 alpha (/.f64 beta alpha))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(+.f64 (neg.f64 alpha) (*.f64 alpha (/.f64 beta alpha))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(+.f64 (neg.f64 alpha) (*.f64 alpha (/.f64 beta alpha))) |
(/ 1/2 (+ 2 alpha)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(/ 1/2 beta) |
(/.f64 #s(literal 1/2 binary64) beta) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) beta) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) alpha) beta) #s(literal 1/2 binary64)) beta) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) |
(/.f64 (+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) #s(literal 1/2 binary64))) (/.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) beta)) beta) |
(/ 1/2 beta) |
(/.f64 #s(literal 1/2 binary64) beta) |
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) beta) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -2 binary64)) alpha) beta))) (neg.f64 beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) beta) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) (neg.f64 beta)) |
(/ 1/2 (+ 2 beta)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) alpha) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta) alpha) #s(literal 1/2 binary64)) alpha) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/.f64 (+.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (*.f64 alpha (*.f64 alpha alpha)))) (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (*.f64 alpha alpha)))) alpha) |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) alpha) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -2 binary64)) beta)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) alpha) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) alpha)) (neg.f64 alpha)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (neg.f64 beta) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(+.f64 alpha (fma.f64 alpha (/.f64 beta alpha) #s(literal 2 binary64))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(+.f64 alpha (fma.f64 alpha (/.f64 beta alpha) #s(literal 2 binary64))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(+.f64 alpha (fma.f64 alpha (/.f64 beta alpha) #s(literal 2 binary64))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (neg.f64 alpha) alpha) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 alpha (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal 1/2 binary64) alpha) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha))) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta beta)))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* 1/4 beta) |
(*.f64 beta #s(literal 1/4 binary64)) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* 1/4 beta) |
(*.f64 beta #s(literal 1/4 binary64)) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* beta (+ 1/4 (* 1/2 (/ 1 beta)))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 alpha (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal 1/2 binary64) alpha) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha))) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta))) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
(+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta beta)))))) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) beta)) beta)) beta)) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(* 1/16 (pow beta 3)) |
(*.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 1/16 binary64)) |
(* (pow beta 3) (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 beta beta) (*.f64 beta (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta)))) |
(* (pow beta 3) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 beta (*.f64 beta beta)) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta))) |
(* (pow beta 3) (- (+ 1/16 (+ (/ 1/4 (pow beta 2)) (* 1/2 (/ 1 (pow beta 3))))) (* 1/8 (/ 1 beta)))) |
(*.f64 beta (*.f64 (*.f64 beta beta) (+.f64 #s(literal 1/16 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta))))) |
(* 1/16 (pow beta 3)) |
(*.f64 (*.f64 beta (*.f64 beta beta)) #s(literal 1/16 binary64)) |
(* -1 (* (pow beta 3) (- (* 1/8 (/ 1 beta)) 1/16))) |
(*.f64 (*.f64 beta (*.f64 beta beta)) (neg.f64 (+.f64 (/.f64 #s(literal 1/8 binary64) beta) #s(literal -1/16 binary64)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (* 1/4 (/ 1 beta)) 1/8) beta)) 1/16))) |
(*.f64 (*.f64 beta (*.f64 beta beta)) (neg.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta)))) |
(* -1 (* (pow beta 3) (- (* -1 (/ (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8) beta)) 1/16))) |
(*.f64 (-.f64 #s(literal -1/16 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) beta) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 beta beta)) #s(literal -1/8 binary64))) beta)) (*.f64 (*.f64 (neg.f64 beta) beta) beta)) |
1/4 |
#s(literal 1/4 binary64) |
(+ 1/4 (* -1/8 beta)) |
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
(+ 1/4 (* beta (- (* 1/16 beta) 1/8))) |
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
(* 1/16 (pow beta 2)) |
(*.f64 (*.f64 beta beta) #s(literal 1/16 binary64)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta))) |
(* (pow beta 2) (- (+ 1/16 (/ 1/4 (pow beta 2))) (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta))) |
(* 1/16 (pow beta 2)) |
(*.f64 (*.f64 beta beta) #s(literal 1/16 binary64)) |
(* (pow beta 2) (- 1/16 (* 1/8 (/ 1 beta)))) |
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1/8 binary64) beta))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta))) |
(* (pow beta 2) (+ 1/16 (* -1 (/ (- 1/8 (* 1/4 (/ 1 beta))) beta)))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1/16 binary64) (/.f64 (+.f64 #s(literal -1/8 binary64) (/.f64 #s(literal 1/4 binary64) beta)) beta))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha))) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) beta)) beta))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) beta)) beta))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha)) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(fma.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 #s(literal -2 binary64) alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(+.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 #s(literal -2 binary64) alpha))) |
(* -1 (/ (pow beta 2) alpha)) |
(/.f64 (*.f64 (neg.f64 beta) beta) alpha) |
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta) (/.f64 #s(literal -1 binary64) alpha))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta))))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) beta) (/.f64 #s(literal 1 binary64) (*.f64 beta beta))) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta))))))) |
(* -1 (/ (pow beta 2) alpha)) |
(/.f64 (*.f64 (neg.f64 beta) beta) alpha) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta) (/.f64 #s(literal -1 binary64) alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 #s(literal -3 binary64) alpha))) beta) (/.f64 #s(literal -1 binary64) alpha))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) alpha) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) alpha) |
(+ 1 beta) |
(+.f64 beta #s(literal 1 binary64)) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
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(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) |
(+ 1 beta) |
(+.f64 beta #s(literal 1 binary64)) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) |
(+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) |
(+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) |
(/ -2 alpha) |
(/.f64 #s(literal -2 binary64) alpha) |
(/ (- alpha 2) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(/ (- alpha 2) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(/ (- alpha 2) alpha) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- 1 (* 2 (/ 1 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(+ (* -1 (* beta (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)))) (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(+ (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) (* beta (+ (* -1 (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha))) (* -1 (/ beta (pow alpha 2)))))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))))) |
(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
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(* (pow beta 2) (- (+ (* -1 (/ (- (* 2 (/ 1 (pow alpha 2))) (/ 1 alpha)) (pow beta 2))) (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta))) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta)))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (*.f64 beta beta)))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta)))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
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(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 2 (* (pow alpha 2) beta))) (/ 1 (* alpha beta))) beta)) (/ 1 (pow alpha 2)))) |
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(* -1 (/ (* (+ 1 beta) (+ 2 beta)) (pow alpha 2))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta)) (*.f64 alpha alpha)) |
(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
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(/ (+ (* -1 (* (+ 1 beta) (+ 2 beta))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
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(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
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(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
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(/ (+ 1 (+ beta (* -1 (/ (* (+ 1 beta) (+ 2 beta)) alpha)))) alpha) |
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(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
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(- (* 2 (/ 1 alpha)) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (* 3 (/ 1 alpha)) 1))) 1) |
(fma.f64 beta (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(fma.f64 beta (+.f64 (/.f64 beta alpha) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
(- (+ (* 2 (/ 1 alpha)) (* beta (- (+ (* 3 (/ 1 alpha)) (/ beta alpha)) 1))) 1) |
(fma.f64 beta (+.f64 (/.f64 beta alpha) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha))) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (- (+ (/ 1 alpha) (/ 3 (* alpha beta))) (/ 1 beta))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(* (pow beta 2) (- (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))) (+ (/ 1 beta) (/ 1 (pow beta 2))))) |
(*.f64 (*.f64 beta beta) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal 2 binary64) (*.f64 alpha (*.f64 beta beta)))) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta)) (/.f64 #s(literal 1 binary64) (*.f64 beta beta)))) |
(/ (pow beta 2) alpha) |
(/.f64 (*.f64 beta beta) alpha) |
(* (pow beta 2) (+ (* -1 (/ (- 1 (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) alpha)) beta))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 #s(literal -3 binary64) alpha))) beta))) |
(* (pow beta 2) (+ (* -1 (/ (- (+ 1 (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta))) (* 3 (/ 1 alpha))) beta)) (/ 1 alpha))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) beta) (/.f64 #s(literal -3 binary64) alpha))) beta))) |
(/ (* (+ 1 beta) (+ 2 beta)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(/ (+ (* -1 (* alpha (+ 1 beta))) (* (+ 1 beta) (+ 2 beta))) alpha) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 2 binary64) beta) alpha)) alpha) |
(* -1 (+ 1 beta)) |
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(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(* -1 (+ 1 beta)) |
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(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(- (/ (* (+ 1 beta) (+ 2 beta)) alpha) (+ 1 beta)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
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(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
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(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha)) (/.f64 (fma.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) alpha) alpha) beta))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (+.f64 #s(literal 2 binary64) beta))) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(fma.f64 alpha (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal 1/2 binary64) alpha) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha))) (/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) (*.f64 alpha (*.f64 alpha alpha))))) (+.f64 beta #s(literal 1 binary64))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) alpha)) alpha)) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta)))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 beta (-.f64 #s(literal -2 binary64) beta))))) alpha)) alpha)) (neg.f64 alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 beta (*.f64 alpha alpha))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) (*.f64 beta beta)) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(/.f64 (*.f64 (neg.f64 beta) beta) (*.f64 alpha alpha)) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) beta)) beta))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha)) (/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) alpha)) alpha) beta)) beta))) |
(* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) (pow alpha 2))) |
(/.f64 (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* -1/2 (* (+ 2 beta) (+ 2 (* 2 beta)))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 (+ beta (* -1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* 1/2 (/ (* (+ 2 beta) (+ 2 (* 2 beta))) alpha))) alpha)) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) (neg.f64 alpha)) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(+.f64 alpha #s(literal 2 binary64)) |
(/ 1 alpha) |
(/.f64 #s(literal 1 binary64) alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+.f64 (/.f64 beta alpha) (/.f64 #s(literal 1 binary64) alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta))) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(+.f64 (/.f64 beta alpha) (/.f64 beta (*.f64 alpha beta))) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
| 1× | batch-egg-rewrite |
| 4 804× | lower-/.f32 |
| 4 794× | lower-/.f64 |
| 3 828× | lower-*.f32 |
| 3 826× | lower-*.f64 |
| 3 288× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 366 |
| 0 | 80 | 366 |
| 1 | 445 | 363 |
| 2 | 4261 | 363 |
| 0 | 9141 | 349 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(-.f64 beta alpha) |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) |
(+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64))) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
(/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
#s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) |
(*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)) |
(fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha))) |
#s(approx (+ alpha 2) #s(literal 2 binary64)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
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(+.f64 beta (neg.f64 alpha)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))))) |
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)))) |
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) beta))) alpha))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta))) |
(/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))) alpha (*.f64 (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) alpha)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) alpha (*.f64 (+.f64 beta #s(literal -1 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))))) (*.f64 (+.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 alpha (-.f64 #s(literal -1 binary64) (*.f64 beta (*.f64 beta beta))))) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (+.f64 beta #s(literal -1 binary64)) (*.f64 alpha (-.f64 #s(literal 1 binary64) (*.f64 beta beta)))) (*.f64 alpha (+.f64 beta #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha))))) |
(/.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) (neg.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (fma.f64 beta beta (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta)))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64))) (*.f64 beta beta)) (+.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta)) |
(/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha))) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)))) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha))) (fma.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)) (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) beta) (-.f64 (-.f64 #s(literal -1 binary64) beta) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha))) (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha))))) |
(*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha)))) |
#s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (neg.f64 alpha))) |
#s(approx (+ alpha 2) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 beta (neg.f64 alpha))) |
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) alpha) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) alpha)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 alpha)) (/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 alpha))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64))) (neg.f64 alpha)) (/.f64 (/.f64 (*.f64 beta beta) (+.f64 beta #s(literal -1 binary64))) (neg.f64 alpha))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta)) alpha) (/.f64 (/.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) beta)) alpha)) |
(-.f64 (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 alpha)) (/.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 alpha))) |
(-.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha (+.f64 beta #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 alpha (+.f64 beta #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) beta))) (/.f64 (*.f64 beta beta) (*.f64 alpha (-.f64 #s(literal 1 binary64) beta)))) |
(neg.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) (neg.f64 alpha))) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) beta) alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 beta #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal -1 binary64) beta) (neg.f64 alpha)) |
(/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (*.f64 alpha (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta))) |
(/.f64 (fma.f64 beta beta #s(literal -1 binary64)) (*.f64 alpha (+.f64 beta #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (*.f64 alpha (-.f64 #s(literal 1 binary64) beta))) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta) alpha)) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)) alpha)) |
(/.f64 (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal -1 binary64)) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) beta) alpha)) |
(/.f64 (neg.f64 (-.f64 #s(literal -1 binary64) beta)) (neg.f64 (neg.f64 alpha))) |
(/.f64 (*.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal 1 binary64)) alpha) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta)) |
(/.f64 (*.f64 (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 beta beta #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 beta #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha)) (-.f64 #s(literal 1 binary64) beta)) |
(pow.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 alpha (+.f64 beta #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 (-.f64 #s(literal -1 binary64) beta) (/.f64 #s(literal -1 binary64) alpha)) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (+.f64 beta #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 beta beta #s(literal 1 binary64)) beta))) |
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 beta (*.f64 beta beta) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 beta beta #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal 1 binary64) (*.f64 beta beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) beta))) |
Compiled 17 937 to 1 446 computations (91.9% saved)
25 alts after pruning (15 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 732 | 5 | 737 |
| Fresh | 2 | 10 | 12 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 735 | 25 | 760 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 72.8% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| ✓ | 70.5% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| 50.3% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) | |
| 29.1% | (fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) | |
| 52.5% | (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 3.7% | (fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ✓ | 29.1% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
| ✓ | 71.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
| 29.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)) | |
| 30.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)))) alpha)) | |
| ✓ | 23.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
| 24.8% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) | |
| 23.4% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) | |
| 14.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))) | |
| 27.0% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)) alpha)))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) | |
| 29.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (-.f64 (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 alpha)) (/.f64 beta (neg.f64 alpha))))) | |
| ✓ | 25.5% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
| ✓ | 48.6% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
| 47.7% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) | |
| ✓ | 48.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
| 4.2% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) | |
| ✓ | 51.9% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
| ✓ | 33.3% | #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
Compiled 882 to 337 computations (61.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 beta (fma.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal 1 binary64)))) alpha)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (-.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) beta) (neg.f64 alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (*.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (/.f64 #s(literal -1 binary64) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) alpha))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (-.f64 (/.f64 (fma.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) #s(literal -1 binary64)) (neg.f64 alpha)) (/.f64 beta (neg.f64 alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha)) #s(literal 1 binary64)) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64)))) #s(literal -1 binary64)) (*.f64 (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (-.f64 #s(literal -1 binary64) beta)) alpha)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (*.f64 (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64)) (+.f64 beta #s(literal 1 binary64))) (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64)))) (*.f64 alpha (-.f64 (*.f64 (/.f64 (-.f64 #s(literal -2 binary64) (+.f64 beta beta)) alpha) (fma.f64 beta #s(literal 1/2 binary64) #s(literal 1 binary64))) (+.f64 beta #s(literal 1 binary64)))))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
5 calls:
| 36.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 11.0ms | alpha |
| 11.0ms | beta |
| 9.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 9.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 2 | alpha |
| 73.1% | 1 | beta |
| 100.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 100.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 100.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 45 to 30 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
3 calls:
| 52.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 100.0% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 100.0% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (*.f64 (/.f64 #s(literal 1 binary64) alpha) #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -1 binary64) beta) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
3 calls:
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 6.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 6.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.6% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.6% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 (*.f64 beta #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
3 calls:
| 18.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.6% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.6% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) #s(approx (/ 1/2 (+ beta (+ alpha 2))) (/.f64 #s(literal 1/2 binary64) beta)) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (+ (* alpha -2) -2) (*.f64 alpha #s(literal -2 binary64))) beta) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) #s(approx (+ beta (+ alpha 2)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
3 calls:
| 11.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 5.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 5.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 98.2% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 98.2% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.6% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 97.6% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 97.6% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))) |
4 calls:
| 3.0ms | alpha |
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 3.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 3.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 72.0% | 2 | alpha |
| 91.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 91.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.2% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 42 to 28 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 91.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.2% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
3 calls:
| 8.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.2% | 3 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 91.2% | 3 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 91.2% | 3 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(fma.f64 #s(approx (/ (- beta alpha) (+ beta (+ alpha 2))) #s(literal -1 binary64)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 2.0ms | beta |
| 2.0ms | alpha |
| 2.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.3% | 2 | alpha |
| 70.6% | 2 | beta |
| 70.4% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 70.4% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 70.4% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 45 to 30 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(approx (+ (* beta 1/4) 1/2) (*.f64 beta #s(literal 1/4 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
4 calls:
| 10.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 2.0ms | beta |
| 2.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.3% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 70.3% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 70.3% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 70.3% | 2 | beta |
Compiled 42 to 28 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
5 calls:
| 1.0ms | alpha |
| 1.0ms | beta |
| 1.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 1.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 1.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 33.3% | 1 | alpha |
| 33.3% | 1 | beta |
| 33.3% | 1 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 33.3% | 1 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 33.3% | 1 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 45 to 30 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999982094852 | -0.9533523862125404 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.999999982094852 | -0.9533523862125404 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999999290159 | -0.999999982094852 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.897471145866503e-8 | 0.7165819579067328 |
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.897471145866503e-8 | 0.7165819579067328 |
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.897471145866503e-8 | 0.7165819579067328 |
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.897471145866503e-8 | 0.7165819579067328 |
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.897471145866503e-8 | 0.7165819579067328 |
| 0.0ms | -0.9533523862125404 | -0.5714899238917687 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 0.5503102538180794 | 5.056713768920331 |
| 4.0ms | 71× | 0 | valid |
| 2.0ms | 10× | 2 | valid |
| 2.0ms | 15× | 1 | valid |
Compiled 102 to 75 computations (26.5% saved)
ival-div: 2.0ms (40.7% of total)ival-add: 2.0ms (40.7% of total)adjust: 1.0ms (20.4% of total)ival-sub: 1.0ms (20.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.897471145866503e-8 | 0.7165819579067328 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | egg-herbie |
| 28× | +-commutative_binary64 |
| 8× | sub-neg_binary64 |
| 6× | *-commutative_binary64 |
| 4× | neg-sub0_binary64 |
| 4× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 957 |
| 1 | 133 | 957 |
| 2 | 139 | 957 |
| 3 | 143 | 957 |
| 4 | 145 | 957 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199164668999/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta) beta)) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -1080863910568919/1125899906842624 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (/ (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) alpha) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) beta) (+.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha) #s(literal -1 binary64))) alpha))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -9007199164668999/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -9007199164668999/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(approx (+ alpha 2) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ (+ (* alpha -2) -2) beta)) 1) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)))))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal -5404319552844595/9007199254740992 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) (/.f64 #s(approx (+ (* 1/2 (* (+ 2 beta) (/ (- (- -2 beta) beta) alpha))) (+ 1 beta)) #s(approx (+ 1 (/ -2 alpha)) #s(literal 1 binary64))) alpha)) (if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)))) |
(if (<=.f64 beta #s(literal 2 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 beta alpha) #s(literal 2 binary64))) #s(literal 944473296573929/18889465931478580854784 binary64)) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(approx (+ (* 1/2 (/ beta (+ 2 beta))) 1/2) #s(literal 1/2 binary64))) #s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64))) |
#s(approx (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) #s(literal 1 binary64)) |
| 9 688× | lower-fma.f64 |
| 9 688× | lower-fma.f32 |
| 7 870× | lower-fma.f64 |
| 7 870× | lower-fma.f32 |
| 7 838× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 209 |
| 0 | 57 | 205 |
| 1 | 316 | 205 |
| 2 | 2712 | 205 |
| 0 | 8263 | 202 |
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4563 | 2155 |
| 0 | 8642 | 2014 |
| 0 | 10 | 44 |
| 0 | 16 | 44 |
| 1 | 91 | 44 |
| 2 | 748 | 44 |
| 0 | 9057 | 43 |
| 0 | 638 | 6707 |
| 1 | 1984 | 6325 |
| 2 | 6107 | 6119 |
| 0 | 8367 | 5744 |
| 0 | 704 | 7578 |
| 1 | 2177 | 7039 |
| 2 | 6550 | 6809 |
| 0 | 8193 | 6430 |
| 0 | 680 | 7118 |
| 1 | 2099 | 6708 |
| 2 | 6326 | 6560 |
| 0 | 8505 | 6169 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 872 to 355 computations (59.3% saved)
Compiled 866 to 152 computations (82.4% saved)
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